Quantum pseudodots under the influence of external vector and scalar fields

doi:10.1088/1674-1056/27/8/080303

中国物理B ›› 2018, Vol. 27 ›› Issue (8): 80303-080303.doi: 10.1088/1674-1056/27/8/080303

Quantum pseudodots under the influence of external vector and scalar fields

M Eshghi, S M Ikhdair

1 Department of Physics, Imam Hossein Comprehensive University, Tehran, Iran;
2 Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine;
3 Department of Electrical Engineering, Near East University, Nicosia, Northern Cyprus, Mersin 10, Turkey

收稿日期:2018-01-10 修回日期:2018-04-29 出版日期:2018-08-05 发布日期:2018-08-05
通讯作者: M Eshghi E-mail:eshgi54@gmail.com,m.eshghi@semnan.ac.ir

Quantum pseudodots under the influence of external vector and scalar fields

M Eshghi¹, S M Ikhdair^2,3

1 Department of Physics, Imam Hossein Comprehensive University, Tehran, Iran;
2 Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine;
3 Department of Electrical Engineering, Near East University, Nicosia, Northern Cyprus, Mersin 10, Turkey

Received:2018-01-10 Revised:2018-04-29 Online:2018-08-05 Published:2018-08-05
Contact: M Eshghi E-mail:eshgi54@gmail.com,m.eshghi@semnan.ac.ir

摘要/Abstract

摘要： We study the spherical quantum pseudodots in the Schrödinger equation by using the pseudo-harmonic plus harmonic oscillator potentials considering the effect of the external electric and magnetic fields. The finite energy levels and the wave functions are calculated. Furthermore, the behavior of the essential thermodynamic quantities such as, the free energy, the mean energy, the entropy, the specific heat, the magnetization, the magnetic susceptibility, and the persistent currents are also studied by using the characteristic function. Our analytical results are found to be in good agreement with the other works. The numerical results on the energy levels as well as the thermodynamic quantities have also been given.

关键词: Schrödinger equation, harmonic oscillator, pseudo-harmonic potential, thermodynamic quantities, quantum pseudo-dots, characteristic function

Abstract: We study the spherical quantum pseudodots in the Schrödinger equation by using the pseudo-harmonic plus harmonic oscillator potentials considering the effect of the external electric and magnetic fields. The finite energy levels and the wave functions are calculated. Furthermore, the behavior of the essential thermodynamic quantities such as, the free energy, the mean energy, the entropy, the specific heat, the magnetization, the magnetic susceptibility, and the persistent currents are also studied by using the characteristic function. Our analytical results are found to be in good agreement with the other works. The numerical results on the energy levels as well as the thermodynamic quantities have also been given.

Key words: Schrödinger equation, harmonic oscillator, pseudo-harmonic potential, thermodynamic quantities, quantum pseudo-dots, characteristic function

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

65.80.-g (Thermal properties of small particles, nanocrystals, nanotubes, and other related systems)

M Eshghi, S M Ikhdair. Quantum pseudodots under the influence of external vector and scalar fields[J]. 中国物理B, 2018, 27(8): 80303-080303.

M Eshghi, S M Ikhdair. Quantum pseudodots under the influence of external vector and scalar fields[J]. Chin. Phys. B, 2018, 27(8): 80303-080303.

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Quantum pseudodots under the influence of external vector and scalar fields

Quantum pseudodots under the influence of external vector and scalar fields

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