Journal
| Title | A white noise approach to phase space Feynman path integrals Posted by Wolfgang Bock |
| Authors | Bock, Wolfgang; Grothaus, Martin |
| Publication date | 2013/11/01 |
| Journal | Theory of Probability and Mathematical Statistics |
| Volume | 85 |
| Pages | 7-22 |
| Publisher | AMS |
| Abstract | The concepts of phase space Feynman integrals in White Noise Analysis are established. As an example the harmonic oscillator is treated. The approach perfectly reproduces the right physics. I.e., solutions to the Schrödinger equation are obtained and the canonical commutation relations are satisfied. The latter can be shown, since we not only construct the integral but rather the Feynman integrand and the corresponding generating functional. |
| Index terms / Keywords | White noise analysis, Feynman integrals, mathematical physics |
| DOI | https://doi.org/10.1090/S0094-9000-2013-00870-9 |