Pavel Exner
Relations between symmetries and optimalisation of geometric or spectral quantities belong among trademark problems in mathematical physics. In this talk we are concerned with findning configurations of singular interactions that optimize the ground state of the corresponding Schrödinger operator. Using the generalized Birman-Schwinger principle we analyze the problem for several families of interaction supports which can be roughly characterized as loops, cones, and stars.
Mailing addresses:
Department
of Theoretical Physics, NPI Czech Academy of Sciences
Hlavní, 130, CZ-25068 Řež near Prague;
Department of Physics, FNSPE Czech Technical University Břehová 7, CZ-11519 Prague
E-mail:
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