Quantum harmonic oscillator revisited: A Fourier transform approach

被引:20
|
作者
Ponomarenko, SA [1 ]
机构
[1] Univ Rochester, Dept Phys & Astron, Rochester, NY 14627 USA
关键词
D O I
10.1119/1.1677395
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
I present a Fourier transform approach to the problem of finding the stationary states of a quantum harmonic oscillator. The simplicity of the method may make it a desirable substitute for the rather cumbersome polynomial approach to the problem which is commonly used in the standard graduate quantum mechanics textbooks. (C) 2004 American Association of Physics Teachers.
引用
收藏
页码:1259 / 1260
页数:2
相关论文
共 50 条
  • [21] Fractional Fourier transform in information processing, tomography of optical signal, and Green function of harmonic oscillator
    M. A. Man'ko
    [J]. Journal of Russian Laser Research, 1999, 20 : 226 - 238
  • [22] The quantum damped oscillator revisited
    De Brito, AL
    Carvalho, FC
    Baseia, B
    Dias, H
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1998, 113 (04): : 415 - 419
  • [23] Comment on 'The two-capacitor problem revisited: a mechanical harmonic oscillator approach'
    Mungan, Carl E.
    [J]. EUROPEAN JOURNAL OF PHYSICS, 2009, 30 (05) : L59 - L63
  • [24] The two-capacitor problem revisited: a mechanical harmonic oscillator model approach
    Lee, Keeyung
    [J]. EUROPEAN JOURNAL OF PHYSICS, 2009, 30 (01) : 69 - 84
  • [25] Adaptive harmonic fractional Fourier transform
    Zhang, F
    Chen, YQ
    Bi, G
    [J]. IEEE SIGNAL PROCESSING LETTERS, 1999, 6 (11) : 281 - 283
  • [26] The Fractional Fourier Transform and Harmonic Oscillation
    M. Alper Kutay
    Haldun M. Ozaktas
    [J]. Nonlinear Dynamics, 2002, 29 : 157 - 172
  • [27] Adaptive harmonic fractional Fourier transform
    Zhang, F
    Chen, YQ
    Bi, GA
    [J]. ISCAS 2000: IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - PROCEEDINGS, VOL V: EMERGING TECHNOLOGIES FOR THE 21ST CENTURY, 2000, : 45 - 48
  • [28] The fractional Fourier transform and harmonic oscillation
    Kutay, MA
    Ozaktas, HM
    [J]. NONLINEAR DYNAMICS, 2002, 29 (1-4) : 157 - 172
  • [29] Quaternionic quantum harmonic oscillator
    Sergio Giardino
    [J]. The European Physical Journal Plus, 136
  • [30] Hemispheroidal quantum harmonic oscillator
    Poenaru, D. N.
    Gherghescu, R. A.
    Solov'yov, A. V.
    Greiner, W.
    [J]. PHYSICS LETTERS A, 2008, 372 (33) : 5448 - 5451