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- W91512964 abstract "A variation to the usual formulation of Grassmann representation path integrals is presented. Time-indexed anticommuting partners are introduced for each Grassmann coherent state variable and a general method for handling the effect of these introduced Grassmann partners is also developed. These Grassmann partners carry the nilpotency and anticommutivity of the Grassmann coherent state variables into the propagator and allow the propagator to be written as a path integral. Two examples are introduced in which this variation is shown to yield exact results. In particular, exact results are demonstratated for a spin-1/2 in a time-dependent magnetic field, and for a spin-boson system. The stationary path approximation is then shown to be exact for each example." @default.
- W91512964 created "2016-06-24" @default.
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- W91512964 date "2001-04-23" @default.
- W91512964 modified "2023-09-27" @default.
- W91512964 title "Discrete path integral for spin-1/2 in the Grassmannian representation" @default.
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