Quantization of time-dependent singular potential systems in one-dimension by using the Nikiforov-Uvarov method

被引：3
|
作者：
Menouar, Salah [1 ]
Choi, Jeong Ryeol [2 ]
机构：
[1] Univ Ferhat Abbas Setif 1, Fac Sci, Dept Phys, Lab Optoelect & Cpds, Setif 19000, Algeria
[2] Daegu Hlth Coll, Dept Radiol Technol, Daegu 41453, South Korea
来源：
JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2015年 / 67卷 / 07期
基金：
新加坡国家研究基金会;
关键词：
Nikiforov-Uvarov method; Singular potential systems; Time-dependent systems; SCHRODINGER-EQUATION; HARMONIC-OSCILLATOR; CHARGED-PARTICLE; WAVE-FUNCTIONS; FIELD;
D O I：
10.3938/jkps.67.1127
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The technique for quantizing simple static systems can be extended to more generalized systems that involve time-dependent parameters. In this work, a particle with linearly increasing mass that is bound by a time-dependent singular potential, which is composed of an inverse quadratic potential and a Coulomb-like potential, is quantized by using the Nikiforov-Uvarov method together with the invariant operator method and the unitary transformation method. The Nikiforov-Uvarov method is an alternative method for solving the Schrodinger equation on the basis of a particular mathematical technique that reduces second-order differential equations to generalized hypergeometric ones. The exact wave functions of the system are identified, and their properties are addressed in detail.
引用
收藏
页码：1127 / 1132
页数：6
相关论文
共 50 条
  • [21] Approximate any l-state solutions of the Dirac equation for modified deformed Hylleraas potential by using the Nikiforov-Uvarov method
    Hassanabadi, H.
    Maghsoodi, E.
    Zarrinkamar, S.
    Rahimov, H.
    CHINESE PHYSICS B, 2012, 21 (12)
  • [22] A New Vision on Schrödinger Equation Using Position Dependent Mass Concerning Modified Hylleraas-Hulthén Potential Expanded by Nikiforov-Uvarov Method
    Akour, Abdulrahman N.
    Jaradat, Emad K.
    Tarawneh, Saja R.
    Jaradat, Omar K.
    INTERNATIONAL JOURNAL OF MULTIPHYSICS, 2024, 18 (02) : 553 - 563
  • [23] EXACT SOLUTION OF DIRAC EQUATION FOR MIE-TYPE POTENTIAL BY USING THE NIKIFOROV-UVAROV METHOD UNDER THE PSEUDOSPIN AND SPIN SYMMETRY LIMIT
    Hamzavi, M.
    Hassanabadi, H.
    Rajabi, A. A.
    MODERN PHYSICS LETTERS A, 2010, 25 (28) : 2447 - 2456
  • [24] Thermodynamic properties and bound state solutions of Schrodinger equation with Mobius square plus screened-Kratzer potential using Nikiforov-Uvarov method
    Okon, Ituen B.
    Popoola, Oyebola O.
    Omugbe, E.
    Antia, Akaninyene D.
    Isonguyo, Cecilia N.
    Ituen, Eno. E.
    COMPUTATIONAL AND THEORETICAL CHEMISTRY, 2021, 1196
  • [25] Prediction of Time-Dependent One-Dimension Temperature Field of Pavement on the Basis of Laplace Transform
    School of Civil Engineering and Transportation, South China University of Technology, Guangzhou
    Guangdong
    510640, China
    不详
    Guangdong
    510075, China
    Huanan Ligong Daxue Xuebao, 1600, 11 (10-16):
  • [26] Pseudospin symmetric solutions of the Dirac equation with the modified Rosen-Morse potential using Nikiforov-Uvarov method and supersymmetric quantum mechanics approach
    Chen, Wen-Li
    Okon, I. B.
    CHINESE PHYSICS B, 2022, 31 (05)
  • [27] Eigensolution of the Klein-Gordon equation for modified Yukawa-Kratzer potential and its applications using parametric Nikiforov-Uvarov and SUSYQM method
    Parmar, Rajendrasinh H.
    Vinodkumar, P. C.
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2021, 59 (07) : 1638 - 1703
  • [28] Exact solutions of position-dependent mass Schrodinger equation with pseudoharmonic oscillator and its thermal properties using extended Nikiforov-Uvarov method
    Ikot, A. N.
    Okon, I. B.
    Okorie, U. S.
    Omugbe, E.
    Abdel-Aty, A. -H.
    Obagboye, L. F.
    Ahmadov, A. I.
    Okpara, N.
    Duque, C. A.
    Abdullah, Hewa Y.
    Qadir, Karwan W.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (01):
  • [29] Bound state solutions of the Deng-Fan molecular potential with the Pekeris-type approximation using the Nikiforov-Uvarov (N-U) method
    Oyewumi, K. J.
    Oluwadare, O. J.
    Sen, K. D.
    Babalola, O. A.
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2013, 51 (03) : 976 - 991
  • [30] Approximate solutions of the Schrodinger equation with Hulthen plus screened Kratzer Potential using the Nikiforov-Uvarov - functional analysis (NUFA) method: an application to diatomic molecules
    Inyang, Etido P.
    William, Eddy S.
    Ntibi, Joseph E.
    Obu, Joseph A.
    Iwuji, Prince C.
    Inyang, Ephraim P.
    CANADIAN JOURNAL OF PHYSICS, 2022,
12345