Unified $(p,q;α,β,ν;γ)-$deformed oscillator algebra: irreducible representations and induced deformed harmonic oscillator

Details Unified $(p,q;α,β,ν;γ)-$deformed oscillator algebra: irreducible representations and induced deformed harmonic oscillator Unified $(p,q;α,β,ν;γ)-$deformed oscillator algebra: irreducible representations and induced deformed harmonic oscillator

2011-09-29

arxiv.org/abs/1109.6547v1

Physics

Mathematical Physics

Scientific paper

A new deformed canonical commutation relation, generalizing various known
deformations, is defined together with its structure function of deformation.
Then, the related irreducible representations are characterized and classified.
Finally, the discrete spectrum of the corresponding deformed harmonic
oscillator Hamiltonian is investigated and discussed.

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