Monday, July 15, 2013

1307.3478 (Wolfgang Bock et al.)

The Hamiltonian Path Integrand for the Charged Particle in a Constant
Magnetic field as White Noise Distribution

Wolfgang Bock, Martin Grothaus
The concepts of Hamiltonian Feynman integrals in white noise analysis are used to realize as the first velocity dependent potential the Hamiltonian Feynman integrand for a charged particle in a constant magnetic field in coordinate space as a Hida distribution. For this purpose the velocity dependent potential gives rise to a generalized Gauss kernel. Besides the propagators also the generating functionals are obtained.
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