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arXiv · 1307.3478

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

Wolfgang Bock·Martin Grothaus
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Abstract

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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Wolfgang Bock, Martin Grothaus. 2013-07-12. The Hamiltonian Path Integrand for the Charged Particle in a Constant Magnetic field as White Noise Distribution. https://doi.org/10.1142/s0219025715500101

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