Pathintegral evaluation of the timeevolution propagator for quadratic Hamiltonian systems with application to the Lee model
Abstract
Path integral methods are used to derive an exact expression for the time evolution propagator for a broad class of systems with quadratic Hamiltonians. For a certain subclass of such systems, the result is reduced to a simplified closed form. The propagators are exhibited for several illustrative elementary cases and for the Lee model for a single heavy particle, with two isotopic states of equal mass, interacting with a bosonic field. The propagator for the latter is used to calculate the survival probability of the unstable state of the heavy particle with no bosons present.
 Publication:

Ph.D. Thesis
 Pub Date:
 September 1974
 Bibcode:
 1974PhDT........29P
 Keywords:

 Hamiltonian Functions;
 Nuclear Models;
 Particle Interactions;
 Boson Fields;
 Particle Trajectories;
 Quadratic Equations;
 Theoretical Physics;
 Atomic and Molecular Physics