INVARIANT EIGEN-OPERATOR METHOD OF DERIVING ENERGY-LEVEL GAP FOR NONCOMMUTATIVE QUANTUM MECHANICS
2005 ◽
Vol 20
(09)
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pp. 691-698
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Keyword(s):
We propose a new method to derive energy-level gap for Hamiltonians in the context of noncommutative quantum mechanics (NCQM). This method relies on finding invariant eigen-operators whose commutators with Hamiltonian are still the operators themselves but with some eigenvalue-like coefficients, which correspond to the energy-level gaps of the systems. Based on this method, only after some simple algebra, we derive the energy-level gaps for several important systems in NCQM, and most of these results have not been reported in literature so far.
2020 ◽
Vol 9
(12)
◽
pp. 10895-10902
2007 ◽
Vol 40
(9)
◽
pp. 2197-2202
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2008 ◽
Vol 23
(09)
◽
pp. 1393-1403
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2016 ◽
Vol 31
(19)
◽
pp. 1630025
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2007 ◽
Vol 05
(01n02)
◽
pp. 287-292
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