Topics

Main Topics:

• Singular models of quantum contact interactions;

• Dirac operators with singular interactions;

• Effective non-linear PDEs for the evolution under singular interactions;

• Singular models of geometric quantum confinement and transmission;

• Singular phenomena of linear/non-linear models on quantum graphs;

• Limiting and singular problems in quantum information theory;

• Spectral properties of singular Hamiltonians with (possibly non-Hermitian) perturbations;

• Semiclassical limit with low regularity;

• Semiclassical and asymptotic limits in complex quantum systems.