Noncommutative quantum mechanics
We discuss the main features of noncommutative quantum mechanics, a version of nonrelativistic quantum mechanics that involves noncommuting coordinates. After finding a representation for the algebra obeyed by the coordinates and momenta, we analyze the changes due to the noncommutative nature of th...
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| Veröffentlicht in: | American journal of physics 2004-05, Vol.72 (5), p.608-612 |
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| container_end_page | 612 |
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| container_issue | 5 |
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| container_title | American journal of physics |
| container_volume | 72 |
| creator | Girotti, H. O. |
| description | We discuss the main features of noncommutative quantum mechanics, a version of nonrelativistic quantum mechanics that involves noncommuting coordinates. After finding a representation for the algebra obeyed by the coordinates and momenta, we analyze the changes due to the noncommutative nature of the coordinates. The noncommutative two-dimensional harmonic oscillator is discussed in detail. Under certain restrictions, the effect of the noncommutativity is found to be equivalent to a Landau interaction. The modifications produced by the noncommutativity on the thermodynamic functions of the oscillator also are studied. |
| doi_str_mv | 10.1119/1.1624116 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0002-9505 |
| ispartof | American journal of physics, 2004-05, Vol.72 (5), p.608-612 |
| issn | 0002-9505 1943-2909 |
| language | eng |
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| source | AIP Journals Complete |
| subjects | Quantum theory |
| title | Noncommutative quantum mechanics |
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