Exact solution of the Schrodinger equation for the time-dependent harmonic oscillator

被引：2
|
作者：
Li, YS [1 ]
He, JS
机构：
[1] Univ Sci & Technol China, Dept Math, Anhua 230026, Peoples R China
[2] Univ Sci & Technol China, Ctr Nonlinear Sci, Anhua 230026, Peoples R China
来源：
CHINESE SCIENCE BULLETIN | 1998年 / 43卷 / 13期
关键词：
time-dependent harmonic oscillator; Schrodinger equation; Lax equation; recursion operator;
D O I：
10.1007/BF02883074
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：
By using the soliton theory, it is known that the exact solutions of the Schrodinger equation for the time-dependent harmonic oscillator only need to solve an oscillation equation with respect to space variable and a time-dependent Schrodinger equation.
引用
收藏
页码：1066 / 1071
页数：6
相关论文
共 50 条
  • [1] Exact solution of the Schr dinger equation for the time-dependent harmonic oscillator
    LI Yishen 1
    2. Nonlinear Science Center
    Chinese Science Bulletin, 1998, (13) : 1066 - 1071
  • [2] A Time-Dependent Harmonic Oscillator with Two Frequency Jumps: an Exact Algebraic Solution
    Tibaduiza, D. M.
    Pires, L.
    Szilard, D.
    Zarro, C. A. D.
    Farina, C.
    Rego, A. L. C.
    BRAZILIAN JOURNAL OF PHYSICS, 2020, 50 (05) : 634 - 646
  • [3] A Time-Dependent Harmonic Oscillator with Two Frequency Jumps: an Exact Algebraic Solution
    D. M. Tibaduiza
    L. Pires
    D. Szilard
    C. A. D. Zarro
    C. Farina
    A. L. C. Rego
    Brazilian Journal of Physics, 2020, 50 : 634 - 646
  • [4] Solution to the Schrodinger Equation for the Time-Dependent Potential
    Long, Chao-Yun
    Qin, Shui-Jie
    Yang, Zhu-Hua
    Guo, Guang-Jie
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2009, 48 (04) : 981 - 985
  • [5] AN EXACT SOLUTION OF THE TIME-DEPENDENT SCHRODINGER EQUATION WITH A RECTANGULAR POTENTIAL FOR REAL AND IMAGINARY TIMES
    Los, V. F.
    Los, M. V.
    UKRAINIAN JOURNAL OF PHYSICS, 2016, 61 (04): : 331 - 341
  • [6] Solution of the time-dependent Schrodinger equation using a basis in time
    Weatherford, CA
    Red, E
    Wynn, A
    JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 2002, 592 : 47 - 51
  • [7] Complete exact quantum states of the generalized time-dependent harmonic oscillator
    Pedrosa, IA
    MODERN PHYSICS LETTERS B, 2004, 18 (24): : 1267 - 1274
  • [8] Exact Time-Dependent Wave Functions of a Confined Time-Dependent Harmonic Oscillator with Two Moving Boundaries
    Lo, C. F.
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 52 (05) : 820 - 824
  • [9] Exact solutions to three-dimensional time-dependent Schrodinger equation
    Chand, Fakir
    Mishra, S. C.
    PRAMANA-JOURNAL OF PHYSICS, 2007, 68 (06): : 891 - 900
  • [10] Efficient algebraic solution for a time-dependent quantum harmonic oscillator
    Tibaduiza, Daniel M.
    Pires, Luis
    Rego, Andreson L. C.
    Szilard, Daniela
    Zarro, Carlos
    Farina, Carlos
    PHYSICA SCRIPTA, 2020, 95 (10)
12345