Journal
| Title | The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution Posted by Wolfgang Bock |
| Authors | Bock, Wolfgang; Grothaus, Martin |
| Publication date | 2015/06/11 |
| Journal | Infinite Dimensional Analysis, Quantum Probability and Related Topics |
| Volume | 18 |
| Issue | 2 |
| Abstract | 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. |
| Index terms / Keywords | White noise analysis; Feynman integrals; mathematical physics |
| DOI | https://doi.org/10.1142/S0219025715500101 |