RELATIVISTIC (AN)HARMONIC OSCILLATOR

被引：28
|
作者：
MOREAU, W
EASTHER, R
NEUTZE, R
机构：
来源：
AMERICAN JOURNAL OF PHYSICS | 1994年 / 62卷 / 06期
关键词：
D O I：
10.1119/1.17513
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
The relativistic extension of one-dimensional simple harmonic motion is developed in the Lagrangian formalism. The relativistic equations of motion are derived and solved analytically. The motion with respect to proper time is analyzed in terms of an effective potential energy. While the motion remains bounded and periodic, the effect of time dilation along the world line is to cause it to become anharmonic with the period increasing with amplitude and the curvature concentrated at the turning points.
引用
收藏
页码：531 / 535
页数：5
相关论文
共 50 条
  • [11] RELATIVISTIC HARMONIC OSCILLATOR AND SUPERCONVERGENT AMPLITUDES
    COCHO, G
    FRONSDAL, C
    GRODSKY, IT
    WHITE, R
    PHYSICAL REVIEW, 1967, 162 (05): : 1662 - &
  • [12] Geometric models of the relativistic harmonic oscillator
    Cotaescu, II
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (20): : 3545 - 3550
  • [13] Geometric Models of the Relativistic Harmonic Oscillator
    Cotaescu, I. I.
    International Journal of Modern Physics A, 12 (20):
  • [14] Relativistic Generalizations of the Quantum Harmonic Oscillator
    Poszwa, A.
    ACTA PHYSICA POLONICA A, 2014, 126 (06) : 1226 - 1234
  • [15] Relativistic chaos in the anisotropic harmonic oscillator
    Vieira, Ronaldo S. S.
    Michtchenko, Tatiana A.
    CHAOS SOLITONS & FRACTALS, 2018, 117 : 276 - 282
  • [16] Experimental realization of a relativistic harmonic oscillator
    Fujiwara, Kurt M.
    Geiger, Zachary A.
    Singh, Kevin
    Senaratne, Ruwan
    Rajagopal, Shankari V.
    Lipatov, Mikhail
    Shimasaki, Toshihiko
    Weld, David M.
    NEW JOURNAL OF PHYSICS, 2018, 20
  • [17] Pseudospin symmetry and the relativistic harmonic oscillator
    Lisboa, R
    Malheiro, M
    de Castro, AS
    Alberto, P
    Fiolhais, M
    PHYSICAL REVIEW C, 2004, 69 (02): : 15
  • [18] Harmonic balance approach to the periodic solutions of the (an)harmonic relativistic oscillator
    Belendez, Augusto
    Pascual, Carolina
    PHYSICS LETTERS A, 2007, 371 (04) : 291 - 299
  • [19] Solution of the relativistic (an)harmonic oscillator using the harmonic balance method
    Belendez, A.
    Pascual, C.
    Mendez, D. I.
    Neipp, C.
    JOURNAL OF SOUND AND VIBRATION, 2008, 311 (3-5) : 1447 - 1456
  • [20] ON RELATIVISTIC SINGULAR HARMONIC-OSCILLATOR POTENTIALS
    DOMINGUEZADAME, F
    MACIA, E
    EUROPHYSICS LETTERS, 1989, 8 (08): : 711 - 715
12345