Engl, Thomas and Ploessl, Peter and Urbina, Juan Diego and Richter, Klaus (2014) The semiclassical propagator in fermionic Fock space. THEORETICAL CHEMISTRY ACCOUNTS, 133 (11): 1563. ISSN 1432-881X, 1432-2234
Full text not available from this repository. (Request a copy)Abstract
We present a rigorous derivation of a semiclassical propagator for anticommuting (fermionic) degrees of freedom, starting from an exact representation in terms of Grassmann variables. As a key feature of our approach, the anticommuting variables are integrated out exactly, and an exact path integral representation of the fermionic propagator in terms of commuting variables is constructed. Since our approach is not based on auxiliary (Hubbard-Stratonovich) fields, it surpasses the calculation of fermionic determinants yielding a standard form integral D[psi, psi*]e(iR[psi, psi*]) with real actions for the propagator. These two features allow us to provide a rigorous definition of the classical limit of interacting fermionic fields and therefore to achieve the long-standing goal of a theoretically sound construction of a semiclassical van Vleck-Gutzwiller propagator in fermionic Fock space. As an application, we use our propagator to investigate how the different universality classes (orthogonal, unitary and symplectic) affect generic many-body interference effects in the transition probabilities between Fock states of interacting fermionic systems.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NONADIABATIC QUANTUM DYNAMICS; INITIAL-VALUE REPRESENTATION; ELECTRONIC DEGREES; CLASSICAL-MODELS; COHERENT STATES; PHASE-SPACE; FREEDOM; SYSTEMS; PHYSICS; ATOM; Path integral; Semiclassical; Fermions; classical limit |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Aug 2019 08:44 |
| Last Modified: | 14 Aug 2019 08:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/9556 |
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