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quant-ph1999
Path Integral Quantization for a Toroidal Phase Space
Bernhard G. Bodmann, John R. Klauder
A Wiener-regularized path integral is presented as an alternative way to formulate Berezin-Toeplitz quantization on a toroidal phase space. Essential to the result is that this qua…
quant-ph1998
A rigorous path-integral formula for quantum-spin dynamics via planar Brownian motion
Bernhard Bodmann, Hajo Leschke, Simone Warzel
Adapting ideas of Daubechies and Klauder we derive a continuum path-integral formula for the time evolution generated by a spin Hamiltonian. For this purpose we identify the finite…
quant-ph1997
Wiener Integration for Quantum Systems: A Unified Approach to the Feynman-Kac formula
B. Bodmann, H. Leschke, S. Warzel
A generalized Feynman-Kac formula based on the Wiener measure is presented. Within the setting of a quantum particle in an electromagnetic field it yields the standard Feynman-Kac…