Self-consistent quantal treatment of decay rates within the perturbed static path approximation

Details Self-consistent quantal treatment of decay rates within the perturbed static path approximation Self-consistent quantal treatment of decay rates within the perturbed static path approximation

2001-10-02

arxiv.org/abs/cond-mat/0110053v1

Phys.Rev. E64 (2001) 066126

Physics

Condensed Matter

17 pages, LaTex, no figures; final version, accepted for publication in PRE; e-mail: crummel@ph.tum.de

Scientific paper

10.1103/PhysRevE.64.066126

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 $T_0$.

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