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

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.

arXiv admin note: substantial text overlap with arXiv:1203.0089, arXiv:1012.1125

References in corpus (2)

• Feynman integrals for a class of exponentially growing potentials
• Feynman integrals for non-smooth and rapidly growing potentials