| 10.00 Opening | ||
| Chairperson: D. Rowe | ||
| 10.20 | Heinz-Dietrich Doebner (Germany) | |
| Non-linear extensions of quantum theory - prospects and difficulties. | ||
| 11.10 | Richard Askey (USA) | |
| The world of q. | ||
| Chairperson: H.-D. Doebner | ||
| 9.00 | Richard Kerner (France) | |
| Ternary generalizations of algebraic and differential tools in mathematical physics. | ||
| 9.50 | Marcos Moshinsky (Mexico) | |
| The Sturm-Coulomb problem in a magnetic field and its implications for quantum chaos. | ||
| 11.10 | David Rowe (Canada) | |
| Quasi-dynamical symmetry; an organizational mechanism for emergent | ||
| collective phenomena. |
| Chairperson: T. Miwa | ||
| 9.00 | Yuri Berest (USA) | |
| Integrable systems and noncommutative algebraic geometry. | ||
| 9.50 | Vladimir Korepin (USA) | |
| Determinant representations in integrable models. | ||
| 11.10 | Ivan Todorov (Bulgaria) | |
| Monodromy representations of the braid group. |
| Chairperson: L. Bonora | ||
| 9.00 | Arno Bohm (USA) | |
| Semigroups representations of Poincaré transformations and time asymmetric quantum theory. | ||
| 9.50 | Luigi Accardi (Italy) | |
| The stochastic limit of quantum theory: emergence of new statistics and interacting commutation relations. | ||
| 11.10 | Sergei Kilin (Belarus) | |
| Quanta and Information. |
| Chairperson: I. Todorov | ||
| 9.00 | Tetsuji Miwa (Japan) | |
| Combinatorics of coinvariants. | ||
| 9.50 | Victor Kac (USA) | |
| Classification of infinite-dimensional simple linearly compact Lie superalgebras and the standard model. | ||
| 11.10 | Loriano Bonora (Italy) | |
| Instantons and scattering in Yang-Mills theory. |
| Chairperson: A.N. Sissakian | ||
| 11.30 | Michail Semenov-Tyan-Shansky (France) | |
| q-deformed W-algebras, Drinfeld-Sokolov reduction and algebras of q-difference operators. | ||
| 12.20 | Alexander T. Filippov (JINR) | |
| Integrable models of quantum gravity and their symmetries. | ||
| 13.10 | Closing | |
Parallel Sessions
| Symposium on Quantum Groups (A) | ||
| Chairperson: V. Dobrev | ||
| 14.00 | Mariano A. del Olmo (Spain) | 30 min |
| Induced representations of quantum kinematical algebras. | ||
| 14.30 | Natig M. Atakishiyev (Mexico) | 30 min |
| Bases for representations of quantum algebras. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: M.A. del Olmo | ||
| 15.15 | Bertfried Fauser (Germany) | 30 min |
| Search for quantum Clifford Hopf algebras. | ||
| 15.45 | Harold Steinacker (Germany) | 30 min |
| Field Theory on the q-deformed Fuzzy Sphere. | ||
| Chairperson: R. Mir-Kasimov | ||
| 16.45 | Anatolii U. Klimyk (Ukraine) | 30 min |
| q-Laplace operator and q-harmonic polynomials on quantum vector space. | ||
| 17.15 | Yuri F. Smirnov (Mexico) | 30 min |
| Quantum algebra uq(3): Gelfand-Graev formulas. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: A.U. Klimyk | ||
| 18.00 | Severin Posta (Czech Republic) | 20 min |
| On representations of nonstandard deformation Uq(so3). | ||
| 18.20 | Raisa M. Asherova (Russia) | 20 min |
| On the general analytical formula for Uq(3) Clebsch-Gordan coefficients. | ||
| 18.40 | Sigitas Alisauskas (Lithuania) | 20 min |
| 3nj coefficients of uq(2) and multiple ordinary and basic hypergeometric series. | ||
| Symposium on Group Theory and Integrable Systems (B) | ||
| Chairperson: P. Winternitz | ||
| 14.00 | Igor V. Komarov (Russia) | 30 min |
| Kowalevski's top and its generalizations in classical and quantum mechanics. | ||
| 14.30 | Andrey Tsiganov (Russia) | 30 min |
| Maupertuis principle and integrable systems. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: E. Kalnins | ||
| 15.15 | Pavel Winternitz (Canada) | 30 min |
| Generalized Lie symmetries and superintegrable systems in quantum mechanics. | ||
| 15.45 | Costas Daskaloyannis (Greece) | 30 min |
| Polynomial Poisson algebras for two dimensional classical superintegrable systems and polynomial associative algebras for quantum superintegrable systems. | ||
| Chairperson: I.V. Komarov | ||
| 16.45 | Ernie G. Kalnins (New Zealand) | 30 min |
| Completeness of Multiseparable Superintegrability in E(2C). | ||
| 17.15 | Jonathan M. Kress (New Zealand) | 30 min |
| Multiseparability and Superintegrability in Three Dimensions. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: C. Daskaloyannis | ||
| 18.00 | Armen Nersessian (JINR) | 20 min |
| How to relate the oscillator and Coulomb systems on (pseudo)spheres? | ||
| 18.20 | Yurii A. Kurochkin (Belarus) | 20 min |
| An algebraic treatment of the MIC-Kepler problem on the sphere S3. | ||
| 18.40 | Andrey M. Shirokov (Russia) | 20 min |
| Quantum Bound States Embedded in Continuum and Their Classical Analogues. | ||
| Quantum and Nonlinear Optics (C) | ||
| Chairperson: K.B. Wolf | ||
| 14.00 | Allan I. Solomon (UK) | 30 min |
| Canonical Transformations, Quantum Optics and Quantum Groups. | ||
| 14.30 | Valery P. Karassiov (Russia) | 30 min |
| Lie-algebraic methods in quantum optic: new approaches and results. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: V.P. Karassiov | ||
| 15.15 | Andrei Klimov (Mexico) | 30 min |
| Lie-type transformation and effective Hamiltonians in quantum optics. | ||
| 15.45 | Christiane Quesne (Belgium) | 30 min |
| Spectrum generating algebra and coherent states of the Clambda-extended oscillator. | ||
| Symmetries of Nonlinear Systems and Quantum Chaos (C) | ||
| Chairperson: R.G. Nazmitdinov | ||
| 16.45 | V.K. Mel'nikov (JINR) | 30 min |
| On equations solvable by the Invetse scattering method. | ||
| 17.15 | Alexander V. Bogdanov (Russia) | 30 min |
| Thermodynamics of homogeneous and nonhomogeneous spaces consideration in framework of representation by stochastic density matrix. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: A.V. Bogdanov | ||
| 18.00 | Rashid G. Nazmitdinov (JINR) | 20 min |
| Soft chaotic systems: octupole deformed nuclei and metallic clusters. | ||
| 18.20 | Valentin Turin (Russia) | 20 min |
| Wave packets, squeezed states and uncertainty relation. | ||
| 18.40 | O. Rosas-Ortiz (Mexico) | 20 min |
| Solitonic deformations in susy quantum mechanics? | ||
| Condensed Matter and Statistical Physics (D) | ||
| Chairperson: N.M. Plakida | ||
| 14.00 | Chin-Kun Hu (Taiwan) | 30 min |
| Universal scaling functions and amplitude ratios for critical systems: A brief review. | ||
| 14.30 | Michael I. Monastyrsky (Russia) | 30 min |
| Minimal surfaces and fluctuations of membranes with high genus. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: Y. Sobouti | ||
| 15.15 | Owen Leon de Lange (South Africa) | 20 min |
| Anisotropy and inhomogenity in an asymmetric next-to-nearest neighbors Ising-type model. | ||
| 15.35 | Hongchen Fu (UK) | 20 min |
| Dynamical group approach to BEC tunnelling. | ||
| 15.55 | Yu.P. Rybakov (Russia) | 20 min |
| 3D Topological excitations in non-Heisenberg magnetics. | ||
| Particle Physics (D) | ||
| Chairperson: I.S. Sogami | ||
| 16.45 | Jean Pierre Gazeau (France) | 30 min |
| A survey of recent results for quantum field theory in de Sitter space. | ||
| 17.15 | Taro Kashiwa (Japan) | 30 min |
| Two-loop Gap Equation in the Nambu-Jona-Lasinio Model Coupled to SU(2) Gauge Fields with Constant Backgrounds. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: N. Russell | ||
| 18.00 | Rolf Dahm (Germany) | 20 min |
| Noncompact symmetry groups and Dirac theory. | ||
| 18.20 | German S. Sharov (Russia) | 20 min |
| New classes of solutions in string meson and baryon models. | ||
| 18.40 | Marco Picariello (Italy) | 20 min |
| Higher order Wess-Zumino consistency conditions in gauge theories. | ||
Scientific
Programme
Monday, July 31
Poster Session
| M.K. Atakishiyeva (Mexico) |
| On a Mellin transform of the generalized Hermite polynomials. |
| Igor Bogolubsky (JINR) |
| D-dimensional solitons in easy-axis Heisenberg magnets. |
| Christophe R. Laforge (Belgium) |
| Symbolic computation of symmetry adapted functions and application infullerite surface phase transition . |
| V. N. Plechko (JINR) |
| Free fermion interpretation of two-dimensional Ising model. |
| E.P. Yukalova (JINR) |
| On the problem of turbulent crystal. |
Parallel Sessions
| Symposium on Quantum Groups (A) | ||
| Chairperson: Yu.F. Smirnov | ||
| 14.00 | Valery N. Tolstoy (Russia) | 30 min |
| Super-Drinfeldians and super-Yangians of Lie superalgebras of type A(n|m). | ||
| 14.30 | Eric Ragoucy (France) | 30 min |
| Yangians and W-algebras. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: E. Ragoucy | ||
| 15.15 | Naruhiko Aizawa (Germany) | 20 min |
| Twist of Lie Algebras by a rank 3 subalgebra. | ||
| 15.35 | David N. Ananikian (Russia) | 20 min |
| Chains of twists for simplectic Lie algebras. | ||
| 15.55 | Maria A. Lledo (Italy) | 20 min |
| Star products on coadjoint orbits. | ||
| Chairperson: N. Aizawa | ||
| 16.45 | Gaetano Fiore (Italy) | 30 min |
| Unbraiding the braided tensor product. | ||
| 17.15 | Maxim L. Nazarov (UK) | 30 min |
| Singularities of the Rational R-matrices. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: N.M. Atakishiyev | ||
| 18.00 | Rufat Mir-Kasimov (JINR) | 30 min |
| Poincare Lie algebra and noncommutative differential calculus. | ||
| 18.30 | Nikolai A. Gromov (Russia) | 30 min |
| Possible contractions of quantum orthogonal groups. | ||
| Symposium on Group Theory and Integrable Systems (B) | ||
| Chairperson: L. Feher | ||
| 14.00 | Alexander Turbiner (Mexico) | 30 min |
| Solvablility of Integrable Systems. | ||
| 14.30 | Uday Sukhatme (USA) | 30 min |
| Supersymmetry and Solvable Periodic Potentials. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: A. Mikhailov | ||
| 15.15 | Boris Zakhariev (JINR) | 20 min |
| New exactly solvable quantum models. | ||
| 15.35 | Miloslav Znojil (Czech Republic) | 20 min |
| Solvable PT symmetric Hamiltonians. | ||
| 15.35 | Peter E. Zhidkov (JINR) | 20 min |
| Eigenvalue expansions associated with nonlinear Schrödinger equations. | ||
| Chairperson: S. Nishiyama | ||
| 16.45 | D. Lebedev (Russia) | 30 min |
| Integral representations for the eigenfunctions of quantum open and periodic Toda chains from QISM formalism. | ||
| 17.15 | Alexander Sorin (JINR) | 30 min |
| Lax pair formulation of the N=4 Toda chain (KdV) hierarchy in N=4 superspace. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: U. Sukhatme | ||
| 18.00 | Simon Codriansky (Venezuela) | 20 min |
| Nambu dynamical system. The case of many triplets. | ||
| 18.20 | Adem Dalgic (Turkey) | 20 min |
| Class of Solvable Potentials Related to SO(2.2). | ||
| 18.40 | Gul-Mirza Kerimov (Turkey) | 20 min |
| Intertwining Operators and S-matrix. | ||
| Superstrings and Quantum Gravity (C) | ||
| Chairperson: K. Kerner | ||
| 14.00 | Luis J. Boya (Spain) | 30 min |
| Exceptional Groups in Physics. | ||
| 14.30 | Mikhail Olshanetsky (Russia) | 30 min |
| Gauge Lie Algebroid in W-Gravity and in the Poisson Sigma-Model. | ||
| 15.00 -- 15.1500 Break | ||
| Chairperson: L.J. Boya | ||
| 15.15 | Victor N. Pervushin (JINR) | 20 min |
| Time-Reparametrization Invariant Dynamics of the Early Universe. | ||
| 15.35 | Mohammad V. Takook (Iran) | 20 min |
| Conformal linear gravity in de Sitter space. | ||
| 15.55 | Anatoly Konechny (USA) | 20 min |
| M(atrix) theory compactifications on noncommutative tori and noncommutative toroidal orbifolds. | ||
| Quantum and Nonlinear Optics (C) | ||
| Chairperson: A. Solomon | ||
| 16.45 | Kurt Bernardo Wolf (Mexico) | 30 min |
| Discretization of paraxial optial systems - by sensors in a polar array on the screen. | ||
| 17.15 | Young Kim (USA) | 30 min |
| Symmetries shared by particle physics and optical sciences. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: C. Quesne | ||
| 18.00 | V.I. Yukalov (JINR) | 20 min |
| Coherent structures in nonlinear optics. | ||
| 18.20 | Sergey M. Chumakov (Mexico) | 20 min |
| The Jaynes-Cummings model without the rotating wave approximation. | ||
| 18.40 | Alexei V. Chizhov (JINR) | 20 min |
| Unitary transformation of quantum states by lousy four-port devices. | ||
| Condensed Matter and Statistical Physics (D) | ||
| Chairperson: Chin-Kun Hu | ||
| 14.00 | Nikolai M. Plakida (JINR) | 30 min |
| Constraints imposed by strong electron correlations on the symmetry of the superconducting gap. | ||
| 14.30 | Yousef Sobouti (Iran) | 30 min |
| Symmetries and eigensolutions of Liuville's equation. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: Y. Sobouti | ||
| 15.15 | Victor G. Yarzhemsky (Russia) | 20 min |
| Shubnikov group symmetry and the structure of superconducting order parameter in unconventional superconductors. | ||
| 15.35 | Zorka Papadopolos (Germany) | 20 min |
| The Dehn invariant and the inflation rules for the tiles of the icosahedral tilings. | ||
| 15.55 | Bahruz R. Gadjiev (JINR) | 20 min |
| Kinetic theory of phase transition I42 --> Fdd. | ||
| Particle Physics (D) | ||
| Chairperson: J.P. Gazeau | ||
| 16.45 | Ikuo S. Sogami (Japan) | 30 min |
| Unifying Chiral Symmetry for Gauge and Higgs Fields. | ||
| 17.15 | Neil Russell (USA) | 30 min |
| Tests of Spacetime Symmetry with Particle Traps. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: T. Kashiwa | ||
| 18.00 | Guennadi A. Kozlov (JINR) | 20 min |
| New extra gauge group(s) and (super)heavy bosons. | ||
| 18.20 | Igor L. Solovtsov (JINR) | 20 min |
| Relativistic S-factor in quantum chromodynamics. | ||
| 18.40 | Everton M. C. Abreu (Brasil) | 20 min |
| Intereference phenomena, chiral bosons and covariance. | ||
Tuesday, August 1
Poster Session
| Angel Ballasteros (Spain) |
| The suq(2) algebra in the off-diagonal basis and applications in quantum optics. |
| Vladimir P. Bykov (Russia) |
| Specific features of the Coulomb field quantization. |
| Oleg Chalykh (UK) |
| Macdonald polynomials and related integrable systems. |
| Nikolai A. Chernikov (JINR) |
| Four models of the gravitational field of a star. |
| Gagik Yu. Kryuchkyan (Armenia) |
| Controlling quantum trajectories and time-ordering in nonlinear systems. |
| Margarita Man'ko (Russia) |
| Quantum-tomography method in information processing and fractional Fourier transform. |
| Alfonso Mondragon (Mexico) |
| CP-violating phase and mixing angles from flavors symmetry breaking. |
| Veronica Riquer (Mexico) |
| Bound states in relativistic quantum mechanics. |
| Igor Samsonov (Russia) |
| Low energy effective action of hypermultiplet in arbitrary representation of any gauge group. |
| James Gareth Wood (Australia) |
| Bounds on integrals of the Wigner function. |
| Robert M. Yamaleev (JINR) |
| Generalized relativistic dynamics. |
Parallel Sessions
| Symposium on Quantum Groups (A) | ||
| Chairperson: J. Lukierski | ||
| 14.00 | Alexander Stolin (Sweden) | 30 min |
| Integrable Models and a new Hopf algebra structure on Uq(sl2). | ||
| 14.30 | George Pronko (Russia) | 30 min |
| On Baxter Q-operator. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: H. Steinacker | ||
| 15.15 | Deepak Parashar (UK) | 20 min |
| Coloured extension of GLq(2) and its dual algebra. | ||
| 15.35 | Vitaly Tarasov (Russia) | 20 min |
| Difference equations compatible with trigonometric KZdifferential equations. | ||
| 15.55 | Mikhail Yurishchev (Russia) | 20 min |
| Double q-state Potts chain: obvious Sq and hidden Finf symmetries. | ||
| Chairperson: C. Burdik | ||
| 16.45 | Alexei Isaev (JINR) | 30 min |
| Quantization of r-matrices related to Belavin-Drinfeld triples. | ||
| 17.15 | Stanislav Pakuliak (JINR) | 30 min |
| On the factorization of the universal R-matrices. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: G. Pronko | ||
| 18.00 | Pavel Pyatov (JINR) | 20 min |
| Dynamical R-matrices in dimension 3. | ||
| 18.20 | Nadezhda Bazunova (Estonia) | 20 min |
| Exterior calculus with d3=0 on free associative algebra in the cases of one and n generators. | ||
| 18.40 | Haji Ahmedov (Turkey) | 20 min |
| Zp-graded GL(n) from GLq(n). | ||
| Symposium on Group Theory and Integrable Systems (B) | ||
| Chairperson: B.G. Konopelchenko | ||
| 14.00 | Alexander Mikhailov (UK) | 30 min |
| Integrable ODE's on associative algebras. | ||
| 14.30 | Alexander P. Veselov (UK) | 30 min |
| Integrable Schroedinger operators with magnetic fields and differential geometry in two dimensions. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: A.P. Veselov | ||
| 15.15 | Laszlo Feher (Hungary) | 30 min |
| On the structure of the Calogero-Moser r-matrices. | ||
| 15.45 | Boris G. Konopelchenko (Italy) | 30 min |
| Integrable hierarchies via D-bar dressing method. | ||
| Chairperson: A. Sorin | ||
| 16.45 | Seiya Nishiyama (Japan) | 30 min |
| RPA Equation Embedded Into Infinite-Dimensional Fock Space Finf. | ||
| 17.15 | Jamil Daboul (Israel) | 30 min |
| Time-dependent Hamiltonians with conserved Runge-Lenz vectors. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: J. Daboul | ||
| 18.00 | Taras V. Skrypnyk (Ukraine) | 20 min |
| Quasigraded Lie algebras, hyperelliptic curves and integrable systems. | ||
| 18.20 | Konstantin V. Rerikh (JINR) | 20 min |
| Birational symmetry and integrability of functional equations defined by birational maps. | ||
| 18.40 | A.D. Donkov (Bulgaria) | 20 min |
| The Exact Solution of the Cauchy Problem for a Generalized ``Vinear" Vectorial Fokker-Plank Equation:Algebraic approach. | ||
| Foundations of Quantum Mechanics (C) | ||
| Chairperson: E. Kapuscik | ||
| 14.00 | Jeeva S. Anandan (USA) | 30 min |
| Symmetries, quantum geometry, and the fundamental interactions. | ||
| 14.30 | Vladimir I. Man'ko (Russia) | 30 min |
| Phase-space reference frames as fundamental tool to describe both classical and quantum states by probability distribution. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: J.S. Anandan | ||
| 15.15 | Alexei L. Shelepin (Brazil) | 20 min |
| Galilean covariant algebras of quantum mechanical observable. | ||
| 15.35 | Andrzej Horzela (Poland) | 20 min |
| Wigner's problem and noncanonical quantizations. | ||
| 15.55 | Jerzy Kowalski-Glikman (Poland) | 20 min |
| Testing dispersion relations of quantum kappa-Poincaé algebra on cosmological ground. | ||
| Symposium on group theory and path integrals (C) | ||
| Chairperson: A. Dynin | ||
| 16.45 | Vladimir Yarunin (JINR) | 30 min |
| Non-translation invariant Path Integral for Bose-condensate. | ||
| 17.15 | Evgueny Kochetov (JINR) | 30 min |
| Geometric derivation of CP1 sigma-model for 1D antiferromagnet. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: E. Kochetov | ||
| 18.00 | J. Manjavidze (JINR) | 20 min |
| Topology and perturbation theory. | ||
| 18.20 | Dietmar Ebert (Germany) | 20 min |
| Dual formulation of SU(2)-gluodynamics and confinement. | ||
| 18.40 | Akira Inomata (USA) | 20 min |
| Path integration for a q-deformed free particle. | ||
| Lie Groups, Representation Theory and Special Functions (D) | ||
| Chairperson: S. Weigert | ||
| 14.00 | Jiri Patera (Canada) | 30 min |
| New poblems and possibilities resulting from the recent classification of gradings of classiccal simple Lie algebras. | ||
| 14.30 | Edita Pelantova (Czech Republic) | 30 min |
| On Fine Gradings and their Symmetries. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: J. Patera | ||
| 15.15 | Stefan Weigert (Switzerland) | 30 min |
| Contracting the Wigner-Kernel of the group SU(2) to the Wigner-Kernel of the Heisenberg-Weyl group. | ||
| 15.45 | Andrzej Frydryszak (Poland) | 30 min |
| Grassmannian Special Functions and Graded Heisenberg Group. | ||
| Semigroups and Microphysical Irreversibility (D) | ||
| Chairperson: A. Bohm | ||
| 16.45 | Alfonso Mondragon (Mexico) | 30 min |
| Doublets and degeneracy of resonances: Jordan forms and Jordan-Gamov vectors. | ||
| 17.15 | Rafael M. de la Madrid (Spain) | 20 min |
| Descprition of the Lippmann-Schwinger kets within the rigged Hilbert space formalism. | ||
| 17.35 -- 17.50 Break | ||
| Chairperson: A. Mondragon | ||
| 17.50 | Ioannis E. Antoniou (Belgium) | 30 min |
| Irreversible extension of dynamic evolution of unstable systems. | ||
| 18.20 | Raymond Scurek (USA) | 20 min |
| The propagation of unstable particles. | ||
| 18.40 | Nathan Harshman (USA) | 20 min |
| Resonance mass and width and the Poinca'e semigroup. | ||
Thursday, August 3
Poster Session
| Roland M. Avakian (Armenia) |
| Gravitational field of flat plate. |
| M. Damnjanovic (Yugoslavia) |
| Wigner-Eckart theorem for induced representations. |
| Bertfried Fauser (Germany) |
| Regularization of non-linear spinor field theories by discrete symmetries. |
| Ashot S. Gevorkyan (Russia) |
| Classical nonintegtrability and quantum chaos in three-body systems. |
| Gennadii Kotel'nikov (Russia) |
| Method of replacing the variables for generalized symmetry of D'Alembert equation. |
| Olga Man'ko (Russia) |
| Group of canonical transformations in classical and quantum statistical mechanics and probability representation of quantum kinetics. |
| Kishor Chandra Pati (India) |
| Satake Diagrams and Iwasawa Decomposition of Twisted Kac-Moody Algebras. |
| Thalanayar S. Santhanam (USA) |
| Higher-order uncertainty relations. |
| Haik A. Sarkisyan (Armenia) |
| One-particle states in parabolic quantum dot with regard to the boundary conditions. |
| Olga P. Solovtsova (JINR) |
| D-function in nonperturbative expansion technique. |
| Sergei I. Vinitsky (JINR) |
| On implementation of the polynomial Lie algebra methods for solving a class of nonlinear models of quantum optics: exact results and analytical approximations. |
| Valeri S. Zamiralov (Moscow) |
| New version of Hara theorem in the framework of GIM model. |
Parallel Sessions
| Symposium on Quantum Groups (A) | ||
| Chairperson: B. Fauser | ||
| 14.00 | Jerzy Lukierski (Poland) | 30 min |
| Local QFT on noncommutative space-time with Hopf algebra structure. | ||
| 14.30 | Cestmir Burdik (Czech Republic) | 30 min |
| BRST charge for deformed Lie algebras. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: G. Fiore | ||
| 15.15 | Leonid O. Chekhov (Russia) | 20 min |
| Quantum Teichmuller spaces and 3D geometry. | ||
| 15.35 | Waldemar Berej (Poland) | 20 min |
| SOq(5) and q-deformed pairing. | ||
| 15.55 | Victor Gershun (Ukraine) | 20 min |
| Sigma-models on the quantum group manifolds in low undeformed space-time dimensions and variational calculus. | ||
| Infinite-Dimensional Symmetries and Supersymmetries (A) | ||
| Chairperson: J.F. Gomes | ||
| 16.45 | Ziemowit Popowicz (Poland) | 30 min |
| Dispersionless Supersymmetric Two Boson Hierarchy. | ||
| 17.15 | David J. Fernandez C. (Mexico) | 30 min |
| Non-linear oscillator algebras and higher order supersymmetry. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: Z. Popowicz | ||
| 18.00 | Maxim Kudinov (USA) | 20 min |
| N-extended supersymmetric quantum mechanics of one-particle. | ||
| 18.20 | Jose Francisco Gomes (Brazil) | 20 min |
| Axial-Vector T-duality in non Abelian Toda affine Toda models. | ||
| 18.40 | Boris Zupnik (JINR) | 20 min |
| Solving N=3 super-Yang-Mills equations in harmonic superspace. | ||
| Symposium on Group Theory and Integrable Systems (B) | ||
| Chairperson: V. Korepin | ||
| 14.00 | Lochlain O'Raifeartaigh (Ireland) | 30 min |
| Astrophysical application of Hamilton-Jacobi group. | ||
| 14.30 | Vladimir P. Pavlov (Russia) | 30 min |
| Invariant description of local symmetries. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: L. O'Raifeartaigh | ||
| 15.15 | Michel Grundland (Canada) | 30 min |
| Symmetry properties and explicit solutions of the generalized Wierstrass system. | ||
| 15.45 | Vladimir V. Mangazeev (Australia) | 30 min |
| A3 Jack polynomials: An exact construction of the separating operator. | ||
| Chairperson: A. Tsiganov | ||
| 16.45 | Herman Boos (Russia) | 30 min |
| Some exact results for three-dimensional Zamolodchikov model. | ||
| 17.15 | Vladimir I. Inozemtsev (JINR) | 30 min |
| Invariants of linear combinations of transpositions. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: V.V. Mangazeev | ||
| 18.00 | Marcel Novaes (Brazil) | 20 min |
| Classical and Algebraic Hamiltonians with SU(3) Symmetry. | ||
| 18.20 | Alina A. Suzko (JINR) | 20 min |
| Exactly soluble potentials for Schrödinger equation. | ||
| 18.40 | D. Mladenov (JINR) | 20 min |
| Classical mechanics on GL(n,R) group and Euler-Sutherland model. | ||
| Symposium on Group Theory and Path Integrals (C) | ||
| Chairperson: A. Inomata | ||
| 14.00 | Hiroshi Kuratsuji (Japan) | 30 min |
| Perspective of coherent state path integrals. | ||
| 14.30 | Junya Shibata (Japan) | 30 min |
| Method of Collective Degrees of Freedom in Spin Coherent State Path Integral. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: V. Yarunin | ||
| 15.15 | Alexander Dynin (USA) | 30 min |
| Convergent Feynman-type integrals for coherent matrix elements for quantum evolution of interacting fields in any space-time dimension. | ||
| 15.45 | Sergey Storchak (Russia) | 30 min |
| Reduction procedure in path integrals on manifold with group action. | ||
| Foundations of Quantum Mechanics (C) | ||
| Chairperson: V.I. Man'ko | ||
| 16.45 | Richard Hagen (USA) | 30 min |
| Cutoff dependence of the Casimir effect. | ||
| 17.15 | Alvaro De Souza Dutra (Brasil) | 30 min |
| Non-singular expressions for the ground state of some anharmonic oscillators. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: R. Hagen | ||
| 18.00 | Edward Kapuscik (Poland) | 20 min |
| Z-description of relativistic spin. | ||
| 18.20 | Sebastian Salamo (Venezuela) | 20 min |
| On Scattering for some hypergeometric Natanzon potentials. | ||
| 18.40 | Jan Naudts (Belgium) | 20 min |
| Covariance in QM and QFT. | ||
| Lie Groups, Representation Theory and Special Functions (D) | ||
| Chairperson: V.A. Soroka | ||
| 14.00 | Alexandre Yu. Orlov (Japan) | 30 min |
| Fermionic representation for basic hypergeometric functions related to Schur polynomials. | ||
| 14.30 | Ady Mann (Israel) | 30 min |
| Three-dimensional curves and analytic solutions for two-level systems. | ||
| 15.00 -- 15.15 Break | ||
| Chairperson: A.Yu. Orlov | ||
| 15.15 | Vladimir Gerdt (JINR) | 20 min |
| Completion to involution as a general method for computing Lie symmetries of differential equations. | ||
| 15.35 | Georgy I. Burde (Israel) | 20 min |
| On the use of the Lie group technique for finding approximate solutions of differential equations. | ||
| 15.55 | Stepan S. Moskaliuk (Ukraine) | 20 min |
| On the tree method in category theory. | ||
| Chairperson: T. Palev | ||
| 16.45 | Vyacheslav A. Soroka (Ukraine) | 30 min |
| Lie-Poisson (Kirillov) odd bracket on Grassmann algebra. | ||
| 17.15 | Laurence Boyle (UK) | 30 min |
| Character tables as arrays. | ||
| 17.45 -- 18.00 Break | ||
| Chairperson: L. Boyle | ||
| 18.00 | Joris Van der Jeugt (Belgium) | 20 min |
| Quasiboson representations of sl(n+1)and generalized quantum statistics. | ||
| 18.20 | Sonia G. Schirmer (UK) | 20 min |
| Kinematical bounds on optimization of observable for quantum systems, the question of their dynamical realizability and Lie groups. | ||
| 18.40 | Reidun Twarock (Germany) | 20 min |
| A new model for quasicrystals via an affine extension of the noncrystallographic Coxeter groups. | ||
Friday, August 4
Poster Session
| Keivan Aghababaei Samani (Iran) |
| Topological Quantum Mechanical Symmetries |
| Andrzej Borowiec (Poland) |
| Algebraic vector fields. |
| Yurii V. Dumin (Russia) |
| Using the generalized spherical functions for solving the spherically-symmetric dynamo problem. |
| Samvel G. Haroutiunyan (Armenia) |
| The possibility of pseudo-ring structures formation in DNA-cisplatinum complexes. |
| Gohar H. Haroutyunian (Armenia) |
| Scalar field effect of selfgraviting configuration structure. |
| Nelly P.Konopleva (Russia) |
| VI Hilbert's problem and infinite Lie groups |
| Vladimir V. Kornyak (JINR) |
| Computation of cohomology of Lie superalgebras with antibracket. |
| Valery M.Koryukin (Russia) |
| Quasigroups and the use of them in the theory of the gauge fields. |
| Oleg S.Kosmachev (JINR) |
| Physical interpretation of some Clifford algebras |
| Luke Francis McAven (Japan) |
| Looking for a unified Dna/Rna genetic algebra. |
| Bozidar Nikolic (Yugoslavia) |
| Vibronic (in)stability of diperiodic systems. |
| N.S. Shavokhina (JINR) |
| The Dirac equation in the Lobachevsky space-time. |
Parallel Sessions
| Infinite-Dimensional Symmetries and Supersymmetries (B) | ||
| Chairperson: D.J. Fernandez C. | ||
| 9.00 | Alexander.D. Popov (JINR) | 30 min |
| Holomorphic BF theories and their symmetries. | ||
| 9.30 | Dmitri Leites (Sweden) | 30 min |
| Real forms of simple Lie superalgebras of vector fields. | ||
| 10.00 | Boris Samsonov (Russia) | 20 min |
| New higher order irreducible supersymmetric quantum models. | ||
| 10.20 | Vasiliy V. Kuratov (Russia) | 20 min |
| Graded contractions of Virasoro algebras. | ||
| 10.40 | Igor V. Kostyakov (Russia) | 20 min |
| Geometry of affine root systems. | ||
| Symmetries in Nuclear, Atomic and Molecular Physics (C) | ||
| Chairperson: German S. Sharov | ||
| 9.00 | Regina Maria Ricotta (Brazil) | 30 min |
| Supersymmetric quantum mechanics, the variational method and a new shape invariant potential. | ||
| 9.30 | Boris Zhilinskii (France) | 30 min |
| Symmetry, Invariants, Topology in Molecules. | ||
| 10.00 | Ivanka Milosevic (Yugoslavia) | 20 min |
| Modified group projectors: Tight binding method. | ||
| 10.20 | Jose Eduardo Hornos (Brazil) | 20 min |
| New symmetries for the genetic code. | ||
| 10.40 | Denis Proskurin (JINR) | 20 min |
| The canonical adiabatic approach to the three-body problem with induced gauge fields. | ||