Probabilistic ideas in the theory of Fermi fields: Stochastic quantization of the Fermi oscillator
- 15 April 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 23 (8) , 1747-1751
- https://doi.org/10.1103/physrevd.23.1747
Abstract
We give a complete description of the Fermi oscillator in terms of ordinary, numerical-valued, Markov processes. This description includes a path-integral formulation for the Hamiltonian semigroup and for the configurational Schwinger functions and the explicit formulation and solution of the stochastic differential equations describing the system in the sense of Nelson's stochastic mechanics.Keywords
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