Lagrangian Aspects of Quantum Dynamics on a Noncommutative Space
| dc.creator | Dragovich, Branko | |
| dc.creator | Rakic, Zoran | |
| dc.date | 2003-02-20 | |
| dc.date | 2003-07-02 | |
| dc.date.accessioned | 2026-07-07T04:14:54Z | |
| dc.date.available | 2026-07-07T04:14:54Z | |
| dc.description | In order to evaluate the Feynman path integral in noncommutative quantum mechanics, we consider properties of a Lagrangian related to a quadratic Hamiltonian with noncommutative spatial coordinates. A quantum-mechanical system with noncommutative coordinates is equivalent to another one with commutative coordinates. We found connection between quadratic classical Lagrangians of these two systems. We also shown that there is a subclass of quadratic Lagrangians, which includes harmonic oscillator and particle in a constant field, whose connection between ordinary and noncommutative regimes can be expressed as a linear change of position in terms of a new position and velocity. | |
| dc.description | 15 pages, references added, minor corrections, to be published in the Proceedings of the Workshop "Contemporary Geometry and Related Topics", (Belgrade, 2002) | |
| dc.identifier | https://arxiv.org/abs/hep-th/0302167 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0302167 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51807 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | Lagrangian Aspects of Quantum Dynamics on a Noncommutative Space | |
| dc.type | text |