Canonical quantization of so-called non-Lagrangian systems
| dc.creator | Gitman, D. M. | |
| dc.creator | Kupriyanov, V. G. | |
| dc.date | 2006-05-02 | |
| dc.date | 2007-02-28 | |
| dc.date.accessioned | 2026-07-07T10:46:33Z | |
| dc.date.available | 2026-07-07T10:46:33Z | |
| dc.description | We present an approach to the canonical quantization of systems with equations of motion that are historically called non-Lagrangian equations. Our viewpoint of this problem is the following: despite the fact that a set of differential equations cannot be directly identified with a set of Euler-Lagrange equations, one can reformulate such a set in an equivalent first-order form which can always be treated as the Euler-Lagrange equations of a certain action. We construct such an action explicitly. It turns out that in the general case the hamiltonization and canonical quantization of such an action are non-trivial problems, since the theory involves time-dependent constraints. We adopt the general approach of hamiltonization and canonical quantization for such theories (Gitman, Tyutin, 1990) to the case under consideration. There exists an ambiguity (not reduced to a total time derivative) in associating a Lagrange function with a given set of equations. We present a complete description of this ambiguity. The proposed scheme is applied to the quantization of a general quadratic theory. In addition, we consider the quantization of a damped oscillator and of a radiating point-like charge. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0605025 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0605025 | |
| dc.identifier | Eur.Phys.J.C50:691-700,2007 | |
| dc.identifier | doi:10.1140/epjc/s10052-007-0230-x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183272 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Physics | |
| dc.title | Canonical quantization of so-called non-Lagrangian systems | |
| dc.type | text |