Self-consistent quantal treatment of decay rates within the perturbed static path approximation
arXiv:cond-mat/0110053 · doi:10.1103/PhysRevE.64.066126
Abstract
The framework of the Perturbed Static Path Approximation (PSPA) is used to calculate the partition function of a finite Fermi system from a Hamiltonian with a separable two body interaction. Therein, the collective degree of freedom is introduced in self-consistent fashion through a Hubbard-Stratonovich transformation. In this way all transport coefficients which dominate the decay of a meta-stable system are defined and calculated microscopically. Otherwise the same formalism is applied as in the Caldeira-Leggett model to deduce the decay rate from the free energy above the so called crossover temperature .
17 pages, LaTex, no figures; final version, accepted for publication in PRE; e-mail: [email protected]