Non-commutative Oscillators and the commutative limit
B. Muthukumar, P. Mitra
Abstract
It is shown in first order perturbation theory that anharmonic oscillators in non-commutative space behave smoothly in the commutative limit just as harmonic oscillators do. The non-commutativity provides a method for converting a problem in degenerate perturbation theory to a non-degenerate problem.
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