Nonrelativistic a""-State Solutions for Schioberg Molecular Potential in Hyperspherical Coordinates

被引:20
|
作者
Ortakaya, Sami [1 ]
机构
[1] Erciyes Univ, Inst Nat & Appl Sci, TR-38039 Kayseri, Turkey
关键词
ASYMPTOTIC ITERATION METHOD; DIMENSIONAL SCHRODINGER-EQUATION; EXACT QUANTIZATION RULE; L-WAVE SOLUTIONS; ANALYTICAL APPROXIMATIONS; EIGENVALUE PROBLEMS; DIATOMIC-MOLECULES; OSCILLATOR; EIGENENERGIES; MECHANICS;
D O I
10.1007/s00601-013-0712-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The approximate analytical solutions of the N-dimensional Schrodinger equation for hyperbolic-type molecular potential, V(r) = D[1 - sigma coth(alpha r)](2) are obtained by using asymptotic iteration method (AIM). The bound state energy eigenvalues and corresponding radial eigenfunctions are derived for arbitrary a""-states.
引用
收藏
页码:1901 / 1909
页数:9
相关论文
共 50 条
  • [1] Nonrelativistic ℓ-State Solutions for Schiöberg Molecular Potential in Hyperspherical Coordinates
    Sami Ortakaya
    Few-Body Systems, 2013, 54 : 1901 - 1909
  • [2] MOLECULAR HAMILTONIAN IN HYPERSPHERICAL COORDINATES
    PETROV, SV
    YAROVOI, SS
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 2 KHIMIYA, 1979, 20 (02): : 107 - 108
  • [3] MOLECULAR DYNAMICS IN HYPERSPHERICAL COORDINATES
    Freixas Lemus, V. M.
    Martinez Mesa, A.
    Uranga Pina, L.
    REVISTA CUBANA DE FISICA, 2014, 31 (02): : 110 - 113
  • [4] GENERALIZED HYPERSPHERICAL COORDINATES FOR MOLECULAR VIBRATIONS
    BASTIDA, A
    REQUENA, A
    ZUNIGA, J
    JOURNAL OF PHYSICAL CHEMISTRY, 1993, 97 (22): : 5831 - 5835
  • [5] Molecular Dynamics of Chiral Molecules in Hyperspherical Coordinates
    Lombardi, Andrea
    Palazzetti, Federico
    Aquilanti, Vincenzo
    COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2019, PT VI: 19TH INTERNATIONAL CONFERENCE, SAINT PETERSBURG, RUSSIA, JULY 14, 2019, PROCEEDINGS, PART VI, 2019, 11624 : 413 - 427
  • [6] Pseudospin and spin symmetric solutions for Schioberg molecular potential including the Yukawa tensor interaction
    Ortakaya, S.
    Hassanabadi, H.
    PHYSICA SCRIPTA, 2013, 88 (05)
  • [7] Exact solutions for bound states of nonrelativistic PT-symmetric potentials by using SUSYQM approach: quadratic potential and hyperbolic Schioberg-type potential
    Zaghou, N.
    Benamira, F.
    Guechi, L.
    INDIAN JOURNAL OF PHYSICS, 2021, 95 (07) : 1445 - 1452
  • [8] Nonrelativistic and relativistic bound state solutions of the molecular Tietz potential via the improved asymptotic iteration method
    Yahya, W. A.
    Issa, K.
    Falaye, B. J.
    Oyewumi, K. J.
    CANADIAN JOURNAL OF CHEMISTRY, 2014, 92 (03) : 215 - 220
  • [9] Separability of H2O molecular potential surfaces in hyperspherical coordinates via adiabatic approximation
    Danek, Jiri
    Lin, C. D.
    PHYSICAL REVIEW A, 2020, 102 (04)
  • [10] The nonrelativistic molecular Tietz potential
    Nikoofard, Hossein
    Maghsoodi, Elham
    Zarrinkamar, Saber
    Farhadi, Mohsen
    Hassanabadi, Hassan
    TURKISH JOURNAL OF PHYSICS, 2013, 37 (01): : 74 - 82