Chaturvedi, S. ; Jagannathan, R. ; Sridhar, R. ; Srinivasan, V. (1993) Non-relativistic quantum mechanics in a non-commutative space Journal of Physics A: Mathematical and General, 26 (3). L105-L112. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/26/3/008
Related URL: http://dx.doi.org/10.1088/0305-4470/26/3/008
Abstract
Non-relativistic quantum theory of a particle in a non-commutative space is formulated within the framework of the usual quantum mechanics itself. This is accomplished by showing explicitly that the Wess-Zumino formalism of deformed quantum mechanical phase space corresponding to a non-commutative space can be realized, in principle, in terms of the usual quantum mechanical phase space. The case of a slightly non-commutative space is considered in detail. A free particle in such a space is found to behave as if it is a charge particle moving in a self-generated magnetic field.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 7016 |
| Deposited On: | 26 Oct 2010 04:38 |
| Last Modified: | 28 May 2011 06:13 |
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