Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators | Zendy

J. Naji | Zendy; S. Heydari | Zendy; R. Darabi | Zendy

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Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators

Author(s) -

J. Naji,

S. Heydari,

R. Darabi

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/103675

Subject(s) - noncommutative geometry , harmonic oscillator , partition function (quantum field theory) , conformal map , quantum statistical mechanics , quantum algebra , mathematics , quantum , quantum harmonic oscillator , quantum mechanics , physics , mathematical physics , algebra over a field , pure mathematics , current algebra , mathematical analysis

We consider noncommutative two-dimensional quantum harmonic oscillators and extend them to the case of twisted algebra. We obtained modified raising and lowering operators. Also we study statistical mechanics and thermodynamics and calculated partition function which yields the free energy of the system

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