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arXiv · 0907.1466

Consistent Deformed Bosonic Algebra in Noncommutative Quantum Mechanics

Jian-Zu Zhang
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Abstract

In two-dimensional noncommutive space for the case of both position - position and momentum - momentum noncommuting, the consistent deformed bosonic algebra at the non-perturbation level described by the deformed annihilation and creation operators is investigated. A general relation between noncommutative parameters is fixed from the consistency of the deformed Heisenberg - Weyl algebra with the deformed bosonic algebra. A Fock space is found, in which all calculations can be similarly developed as if in commutative space and all effects of spatial noncommutativity are simply represented by parameters.

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Jian-Zu Zhang. 2009-07-09. Consistent Deformed Bosonic Algebra in Noncommutative Quantum Mechanics. https://arxiv.org/abs/0907.1466

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