Quantum Mechanics from the Hamilton-Jacobi Point of View
| dc.creator | Jurisch, Alexander | |
| dc.date | 2006-12-27 | |
| dc.date.accessioned | 2026-07-07T07:37:32Z | |
| dc.date.available | 2026-07-07T07:37:32Z | |
| dc.description | In this article, we develop quantum mechanics upon the framework of the quantum mechanical Hamilton-Jacobi theory. We will show, that the Schroedinger point of view and the Hamilton-Jacobi point of view are fully equivalent in their description of physical systems, but differ in their descriptive manner. As a main result, a wave function in Hamilton-Jacobi theory can be decomposed into travelling waves in any point in space, not only asymptotically. The well known WKB-theory will be a special result of the more general theory, we will develop below. By the example of the linear potential and the harmonic oscillator, we will discuss quantum mechanics from the Hamilton-Jacobi point of view. Soft boundary value problems as the connection problem can be solved exactely. Quantizised energies and Maslov-indices can be calculated directely without orthonormalizing wave-functions. Also, we will focus on trajectory themes, which, in contrast to the Schroedinger point of view, follow naturally from the quantum mechanical action function. | |
| dc.description | 19 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0612217 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0612217 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120808 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum Mechanics from the Hamilton-Jacobi Point of View | |
| dc.type | text |