Consistent Deformed Bosonic Algebra in Noncommutative Quantum Mechanics

Details Consistent Deformed Bosonic Algebra in Noncommutative Quantum Mechanics Consistent Deformed Bosonic Algebra in Noncommutative Quantum Mechanics

2009-07-09

arxiv.org/abs/0907.1466v1

International Journal of Modern Physics A, Vol.23, N0.9 (2008) 1393-1403

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

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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