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Title of Journal: Int J Theor Phys

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Abbravation: International Journal of Theoretical Physics

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Springer US

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DOI

10.1002/ange.201209868

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1572-9575

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The Quantum and KleinGordon Oscillators in a Non

Authors: Slimane Zaim
Publish Date: 2014/01/21
Volume: 53, Issue: 6, Pages: 2014-2023
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Abstract

In this work we study the quantum and KleinGordon oscillators in a noncommutative complex space We show that a particle described by such oscillators behaves similarly as an electron with spin in a commutative space in an external uniform magnetic field Therefore the wavefunction psi zbarz takes values in C 4 spin up spin down particle antiparticle a result which is obtained by the Dirac theory We obtain the energy levels by exact solutions We also derive the thermodynamic functions associated to the partition function and show that the noncommutativity effects are manifested in energy at the high temperature limit

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Other Papers In This Journal:
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  18. The Lattice and Simplex Structure of States on Pseudo Effect Algebras
  19. Comment on: Supervisory Asymmetric Deterministic Secure Quantum Communication
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