Seminari del Dipartimento
Fisica Matematica Quasi-Classical Limit for Quantum Particle-Field Systems Michele Correggi 22-05-2018 - 14:30 Largo San Leonardo Murialdo,1 - Pal.C - AULA 311
We study the quasi-classical limit of a quantum system composed of finitely many non-relativistic particles coupled to a quantized field in Nelson or Pauli-Fierz-type models. We prove that, as the field becomes classical and the corresponding degrees of freedom are traced out, the effective Hamiltonian of the particles converges in resolvent sense to a self-adjoint Schroedinger operator with a additional potentials, either electric and/or magnetic, depending on the state of the field. In addition, we prove convergence of the ground state energy of the full system to a suitable effective variational problem involving the classical state of the field. |