Relative Fisher information for Morse potential and isotropic quantum oscillators

被引:10
|
作者
Yamano, Takuya [1 ]
机构
[1] Kanagawa Univ, Fac Sci, Dept Math & Phys, 2946,6-233 Tsuchiya, Hiratsuka, Kanagawa 2591293, Japan
来源
JOURNAL OF PHYSICS COMMUNICATIONS | 2018年 / 2卷 / 08期
关键词
relative Fisher information; isotropic quantum harmonic potential; Morse potential; associated Laguerre polynomials; associated Legendre polynomials;
D O I
10.1088/2399-6528/aacd8f
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The relative Fisher information associated with quantum-mechanical states for two prototypical models is presented; the radial density functions that characterize the Morse oscillator and the d-dimensional isotropic quantum oscillators are analyzed in terms of this relative information by specifying the ground state as the reference. We find that the information increases as the eigenvalue (i.e., the degree of the associated Laguerre polynomials) increases for the Morse density function, but for the isotropic quantum harmonic models, it decreases with the dimension and increases almost linearly with the increasing quantum numbers. We present also the explicit expression for the information associated with the angular density as a function of the orbital quantum number and the magnetic quantum number for the three-dimensional isotropic quantum oscillator.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Fisher information of quantum damped harmonic oscillators
    Aguiar, V.
    Guedes, I.
    PHYSICA SCRIPTA, 2015, 90 (04)
  • [2] Quantum Information Entropies for the Morse Potential
    Aydiner, Ekrem
    Orta, Cenk
    Sever, Ramazan
    TURKISH JOURNAL OF PHYSICS, 2006, 30 (05): : 407 - 410
  • [3] Fisher Information and Complexity Measure of Generalized Morse Potential Model
    C.A.Onate
    J.O.A.Idiodi
    CommunicationsinTheoreticalPhysics, 2016, 66 (09) : 275 - 279
  • [4] Fisher Information and Complexity Measure of Generalized Morse Potential Model
    Onate, C. A.
    Idiodi, J. O. A.
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2016, 66 (03) : 275 - 279
  • [5] FISHER INFORMATION FOR THE MORSE OSCILLATOR
    Chatterjee, Supriya
    Sekh, Golam Ali
    Talukdar, Benoy
    REPORTS ON MATHEMATICAL PHYSICS, 2020, 85 (02) : 281 - 291
  • [6] Quantum information entropies of the eigenstates of the Morse potential
    Aydiner, Ekrem
    Orta, Cenk
    Sever, Ramazan
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2008, 22 (03): : 231 - 237
  • [7] Fisher information and quantum potential well model for finance
    Nastasiuk, V. A.
    PHYSICS LETTERS A, 2015, 379 (36) : 1998 - 2000
  • [8] Eigensolutions and quantum fisher information for different potential models
    Onate, C. A.
    Okon, I. B.
    Omugbe, E.
    Eyube, E. S.
    Onyeaju, M. C.
    Owolabi, J. A.
    Ikot, A. N.
    AVS QUANTUM SCIENCE, 2023, 5 (02):
  • [9] Thermal properties and quantum information theory with the shifted Morse potential
    M E Udoh
    P O Amadi
    U S Okorie
    A D Antia
    L F Obagboye
    R Horchani
    N Sulaiman
    A N Ikot
    Pramana, 96
  • [10] Thermal properties and quantum information theory with the shifted Morse potential
    Udoh, M. E.
    Amadi, P. O.
    Okorie, U. S.
    Antia, A. D.
    Obagboye, L. F.
    Horchani, R.
    Sulaiman, N.
    Ikot, A. N.
    PRAMANA-JOURNAL OF PHYSICS, 2022, 96 (04):