Harmonic Oscillator, Coherent States, and Feynman Path Integral
| dc.creator | Song, Dae-Yup | |
| dc.date | 2002-11-18 | |
| dc.date.accessioned | 2026-07-07T06:05:31Z | |
| dc.date.available | 2026-07-07T06:05:31Z | |
| dc.description | The Feynman path integral for the generalized harmonic oscillator is reviewed, and it is shown that the path integral can be used to find a complete set of wave functions for the oscillator. Harmonic oscillators with different (time-dependent) parameters can be related through unitary transformations. The existence of generalized coherent states for a simple harmonic oscillator can then be interpreted as the result of a (formal) {\em invariance} under a unitary transformation which relates the same harmonic oscillator. In the path integral formalism, the invariance is reflected in that the kernels do not depend on the choice of classical solutions. | |
| dc.description | Prepared for the Feynman Festival, 23-28 August 2002, University of Maryland College Park, Maryland, U.S.A., and for the Pac Memorial Symposium on Theorectical Physics, 28-29 June 2002, Seoul National University, Seoul, Korea | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0211106 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0211106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90660 | |
| dc.subject | Quantum Physics | |
| dc.title | Harmonic Oscillator, Coherent States, and Feynman Path Integral | |
| dc.type | text |