Pauli oscillator in noncommutative space

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Heddar M., Falek M., Moumni M., LÜTFÜOĞLU B. C.

MODERN PHYSICS LETTERS A, cilt.36, sa.40, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 40
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0217732321502801
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Anahtar Kelimeler: Pauli oscillator, noncommutative space, thermal properties, KLEIN-GORDON OSCILLATORS, HARMONIC-OSCILLATOR, QUANTUM-MECHANICS, DIRAC OSCILLATORS, MINIMAL LENGTH, MAGNETIC-FIELD, TIME, EQUATION
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, we investigate the Pauli oscillator in a noncommutative space. In other words, we derive wave function and energy spectrum of a spin half non-relativistic charged particle that is moving under a constant magnetic field with an oscillator potential in noncommutative space. We obtain critical values of the deformation parameter and the magnetic field, which they counteract the normal and anomalous Zeeman effects. Moreover, we find that the deformation parameter has to be smaller than 2.57 x 10(-26) m(2). Then, we derive the Helmholtz free energy, internal energy, specific heat and entropy functions of the Pauli oscillator in the non commutative space. With graphical methods, at first, we compare these functions with the ordinary ones, and then, we demonstrate the effects of magnetic field on these thermodynamic functions in the commutative and noncommutative space, respectively.