Feinberg-Horodecki states of a time-dependent mass distribution harmonic oscillator

被引：7

作者：

Eshghi, M. ^{[1
]}

Sever, R. ^{[2
]}

Ikhdair, M. ^{[3
,4
]}

机构：

[1] Islamic Azad Univ, Cent Tehran Branch, Researchers & Elite Club, Tehran, Iran

[2] Middle East Tech Univ, Dept Phys, TR-06530 Ankara, Turkey

[3] An Najah Natl Univ, Fac Sci, Dept Phys, Nablus, West Bank, Palestine

[4] Near East Univ, Dept Elect Engn, TR-10 Northern Cyprus, Mersin, Turkey

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2016年 / 131卷 / 07期

关键词：

FORM-PRESERVING TRANSFORMATIONS; ASYMPTOTIC ITERATION METHOD; COHERENT STATES; MORSE OSCILLATOR; POTENTIALS; CONSTRUCTION; EQUATION;

D O I：

10.1140/epjp/i2016-16223-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The solution of the Feinberg-Horodecki (FH) equation for a time-dependent mass (TDM) harmonic oscillator quantum system is studied. A certain interaction is applied to a mass m(t) to provide a particular spectrum of stationary energies. The related spectrum of the harmonic oscillator potential V (t) acting on the TDM m(t) oscillators is found. We apply the time version of the asymptotic iteration method (AIM) to calculate analytical expressions of the TDM stationary state energies and their wave functions. It is shown that the obtained solutions reduce to those of simple harmonic oscillator as the time-dependent mass reduces to m(0).

引用

页数：7

共 50 条

[41] Numerical solutions of the time-dependent Schrodinger equation with position-dependent effective mass [J].

Gao, Yijin ;

Mayfield, Jay ;

Luo, Songting .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (04) :3222-3245

[42] Barut-Girardello Coherent States for Nonlinear Oscillator with Position-Dependent Mass [J].

Amir, Naila ;

Iqbal, Shahid .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2016, 66 (01) :41-48

[43] Thermodynamic properties and coherent states for the harmonic oscillator in cosmic string space-time with dislocation [J].

Salazar-Ramirez, M. ;

Mota, R. D. ;

Cordero-Lopez, M. R. ;

Marin, S. de J. Guatemala .

REVISTA MEXICANA DE FISICA, 2025, 71 (03)

[44] Ladder Invariants and Coherent States for Time-Dependent Non-Hermitian Hamiltonians [J].

M. Zenad ;

F. Z. Ighezou ;

O. Cherbal ;

M. Maamache .

International Journal of Theoretical Physics, 2020, 59 :1214-1226

[45] Coherent states for exactly solvable time-dependent oscillators generated by Darboux transformations [J].

Cruz y Cruz, S. ;

Razo, R. ;

Rosas-Ortiz, O. ;

Zelaya, K. .

PHYSICA SCRIPTA, 2020, 95 (04)

[46] Ladder Invariants and Coherent States for Time-Dependent Non-Hermitian Hamiltonians [J].

Zenad, M. ;

Ighezou, F. Z. ;

Cherbal, O. ;

Maamache, M. .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2020, 59 (04) :1214-1226

[47] TIME-DEPENDENT WIGNER DISTRIBUTION FUNCTION EMPLOYED IN SQUEEZED SCHRODINGER CAT STATES: |Ψ(t)⟩ = N-1/2(|β⟩ + eiφ| - β⟩) [J].

Choi, Jeong Ryeol ;

Yeon, Kyu Hwang .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2009, 23 (25) :5049-5066

[48] Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length [J].

Al Khawaja, U. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (26)

[49] Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass [J].

da Costa, Bruno G. ;

da Silva, Genilson A. C. ;

Gomez, Ignacio S. .

JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (09)

[50] Lie transformation method on quantum state evolution of a general time-dependent driven and damped parametric oscillator [J].

Zhang, Lin ;

Zhang, Weiping .

ANNALS OF PHYSICS, 2016, 373 :424-455

← 1 2 3 4 5 →