Superstatistics of Schrodinger equation with pseudo-harmonic potential in external magnetic and Aharanov-Bohm fields

被引：59

作者：

Ikot, A. N. ^{[1
,4
]}

Okorie, U. S. ^{[2
,4
]}

Osobonye, G. ^{[3
]}

Amadi, P. O. ^{[4
]}

Edet, C. O. ^{[4
]}

Sithole, M. J. ^{[1
]}

Rampho, G. J. ^{[1
]}

Sever, R. ^{[5
]}

机构：

[1] Univ South Africa, Dept Phys, ZA-1710 Johannesburg, South Africa

[2] Akwa Ibom State Univ, Dept Phys, Ikot Akpaden, Uyo, Nigeria

[3] Fed Coll Educ, Dept Phys, Omuku, Rivers State, Nigeria

[4] Univ Port Harcourt, Dept Phys, Port Harcourt, Nigeria

[5] Middle East Tech Univ, Dept Phys, Ankara 06800, Turkey

来源：

HELIYON | 2020年 / 6卷 / 04期

关键词：

Statistical physics; Thermodynamics; Quantum mechanics; Superstatistics; Pseudo-harmonic potential; Schrodinger equation; Partition function; STATE SOLUTIONS; ENERGY; SYSTEM;

D O I：

10.1016/j.heliyon.2020.e03738

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work, the thermodynamic properties of pseudo-harmonic potential in the presence of external magnetic and Aharanov-Bohm fields are investigated. The effective Boltzmann factor in the superstatistics formalism was used to obtain the thermodynamic properties such as Helmholtz free energy, Internal energy, entropy and specific heat capacity of the system. In addition, the thermal properties of some selected diatomic molecules of N-2, Cl-2, I-2 and CH using their experimental spectroscopic parameters and the effect of varying the deformation parameter of q = 0, 0.3, 0.7 were duly examined.

引用

页数：8

共 58 条

[1]

[Anonymous], 1988, Special Functions of Mathematical Physics

[2]

[Anonymous], 1991, THERMODYNAMICS STAT

[3]

Atoyan M.S., 2006, PHY E, V31, P1

[4] The energy eigenvalues of the Kratzer potential in the presence of a magnetic field [J].

Aygun, M. ;

Bayrak, O. ;

Boztosun, I. ;

Sahin, Y. .

EUROPEAN PHYSICAL JOURNAL D, 2012, 66 (02)

[5] Generalized statistical mechanics of cosmic rays [J].

Beck, C .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 331 (1-2) :173-181

[6] Superstatistics [J].

Beck, C ;

Cohen, EGD .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 322 (1-4) :267-275

[7] Bound state solutions of the Schrodinger equation for modified Kratzer's molecular potential [J].

Berkdemir, C ;

Berkdemir, A ;

Han, JG .

CHEMICAL PHYSICS LETTERS, 2006, 417 (4-6) :326-329

[8] A comparative study on heat capacity, magnetization and magnetic susceptibility for a GaAs quantum dot with asymmetric confinement [J].

Castano-Yepes, J. D. ;

Ramirez-Gutierrez, C. F. ;

Correa-Gallego, H. ;

Gomez, Edgar A. .

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2018, 103 :464-470

[9] A quantum pseudodot system with a two-dimensional pseudoharmonic potential [J].

Cetin, A. .

PHYSICS LETTERS A, 2008, 372 (21) :3852-3856

[10]

Dong SH, 2011, WAVE EQUATIONS IN HIGHER DIMENSIONS, P3, DOI 10.1007/978-94-007-1917-0

← 1 2 3 4 5 6 →