The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution
Wolfgang Böck, Martin Grothaus
The concepts of Hamiltonian Feynman integrals in white noise analysis are used to realize as the first velocity-dependent potential of 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, the generating functionals are obtained.
arXiv:1307.3478•Infinite Dimensional Analysis Quantum Probability and Related Topics•Jun 1, 2015•2 citations