NONCOMMUTATIVE QUANTUM MECHANICS: THE TWO-DIMENSIONAL CENTRAL FIELD
2002 ◽
Vol 17
(19)
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pp. 2555-2565
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Keyword(s):
Quantum mechanics in a noncommutative plane is considered. For a general two-dimensional central field, we find that the theory can be perturbatively solved for large values of the noncommutative parameter (θ) and explicit expressions for the eigenstates and eigenvalues are given. The Green function is explicitly obtained and we show that it can be expressed as an infinite series. For polynomial type potentials, we found a smooth limit for small values of θ and for nonpolynomial ones this limit is necessarily abrupt. The Landau problem, as a limit case of a noncommutative system, is also considered.
2008 ◽
Vol 23
(09)
◽
pp. 1393-1403
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2003 ◽
Vol 18
(24)
◽
pp. 1673-1680
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2020 ◽
Vol 9
(12)
◽
pp. 10895-10902
2005 ◽
Vol 20
(09)
◽
pp. 691-698
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