XXVI Workshop on Geometric Methods in Physics 1-7.07.2007

Boris Zhilinskii

Quantum monodromy, its generalization and manifestation in finite particle systems

I suggest to discuss recent progress in qualitative theory of finite partice quantum system related to different mathematical generalizations of quantum Hamiltonian monodromy like fractional monodromy [Ann.Henri Poincare, 7,1099-1211 (2006)] and bidromy (Ann.Phys. N.Y. in press) and their manifestation in integrable approximations to simple atomic and molecular problems: hydrogen atom in external fields, vibrational structure of molecular systems in the presence of resonances (like Fermi resonance in CO2) etc.