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Noncommutative classical and quantum mechanics for quadratic Lagrangians (Hamiltonians)
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dragovich, Branko Rakić, Zoran |
| Copyright Year | 2006 |
| Abstract | Classical and quantum mechanics based on an extended Heisenberg algebra with additional canonical commutation relations for position and momentum coordinates are considered. In this approach additional noncommutativity is removed from the algebra by a linear transformation of coordinates and transferred to the Hamiltonian (Lagrangian). This linear transformation does not change the quadratic form of the Hamiltonian (Lagrangian), and Feynman’s path integral preserves its exact expression for quadratic models. The compact general formalism presented here can be easily illustrated in any particular quadratic case. As an important result of phenomenological interest, we give the path integral for a charged particle in the noncommutative plane with a perpendicular magnetic field. We also present an effective Planck constant ħeff which depends on additional noncommutativity. |
| Starting Page | 82 |
| Ending Page | 91 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1134/S0081543809020072 |
| Volume Number | 265 |
| Alternate Webpage(s) | http://cds.cern.ch/record/931417/files/0602245.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-th/0602245v1.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/hep-th/0602245v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1134/S0081543809020072 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
