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Abstract
A damped harmonic oscillator was studied using canonical tramsformation and starting from the method of path integrals.An exact wavefunction for the damped harmonic oscillator has been obtained from a Gaussiantype propagator.The fluctuations of displacement and momentum at zero-point are also given.
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LING RUI-LIANG,

FENG JIN-FU

1.
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Cited By

[1]	Tian Yan, He Gui-Tian, Luo Mao-Kang.Stochastic resonance of a linear harmonic oscillator with non-linear damping fluctuation. Acta Physica Sinica, 2016, 65(6): 060501.doi:10.7498/aps.65.060501
[2]	Zhong Su-Chuan, Yu Tao, Zhang Lu, Ma Hong.Stochastic resonance of an underdamped linear harmonic oscillator with fluctuating mass and fluctuating frequency. Acta Physica Sinica, 2015, 64(2): 020202.doi:10.7498/aps.64.020202
[3]	Zhang Liang-Ying, Cao Li, Wu Da-Jin.Work done by a periodical external force on an overdamped harmonic oscillator with frequency fluctuation and energetic stochastic resonance. Acta Physica Sinica, 2013, 62(19): 190502.doi:10.7498/aps.62.190502
[4]	Lu Zhi-Xin, Cao Li.Stochastic resonance of square wave signal in an overdamped harmonic oscillator. Acta Physica Sinica, 2011, 60(11): 110501.doi:10.7498/aps.60.110501
[5]	Ling Rui-Liang, Feng Jin, Feng Jin-Fu.Quantized energy spectrum and exact wave function of three-dimensional anisotropic coupled harmonic oscillator. Acta Physica Sinica, 2010, 59(12): 8348-8358.doi:10.7498/aps.59.8348
[6]	Zhang Li, Liu Li, Cao Li.Stochastic resonance in an overdamped harmonic oscillator. Acta Physica Sinica, 2010, 59(3): 1494-1498.doi:10.7498/aps.59.1494
[7]	Ling Rui-Liang, Feng Jin-Fu, Hu Yun.Exact wave function of dual-coupled two-dimensional harmonic oscillators with time-dependent and anisotropic mass and frequency. Acta Physica Sinica, 2010, 59(2): 759-764.doi:10.7498/aps.59.759
[8]	Ling Rui-Liang, Feng Jin-Fu.Exact wave function of the coupled harmonic oscillator with time-dependent mass and frequency. Acta Physica Sinica, 2009, 58(4): 2164-2167.doi:10.7498/aps.58.2164
[9]	Wang Xiao-Qin, Zhou Li-You, Lu Huai-Xin.Dynamical evolution for time-dependent qscillators. Acta Physica Sinica, 2008, 57(11): 6736-6740.doi:10.7498/aps.57.6736
[10]	Xu Xiu-Wei, Ren Ting-Qi, Liu Shu-Yan, Dong Yong-Mian, Zhao Ji-De.General solution for multi-dimensional coupled and forced quantum oscillator. Acta Physica Sinica, 2006, 55(2): 535-538.doi:10.7498/aps.55.535
[11]	Lou Zhi-Mei.Lagrangian function and conserved quantity of onedimensional relativistic harmonic oscillator containing a quadratic velocity drag force term. Acta Physica Sinica, 2005, 54(4): 1457-1459.doi:10.7498/aps.54.1457
[12]	Long Shu-Ming, Ran Qi-Wu, Xiong Xiao-Jun.The space dent of sphere-symmetry harmonic oscillator in ground state. Acta Physica Sinica, 2005, 54(3): 1044-1047.doi:10.7498/aps.54.1044
[13]	Li Wen-Bo.. Acta Physica Sinica, 2002, 51(3): 547-553.doi:10.7498/aps.51.547
[14]	LING RUI-LIANG.PROPAGATOR AND EXACT WAVE FUNCTION OF THE TIME DEPENDENTLY DAMPED HARMONIC OSCILLATOR. Acta Physica Sinica, 2001, 50(8): 1421-1424.doi:10.7498/aps.50.1421
[15]	XU XIU-WEI, LIU SHENG-DIAN, REN TING-QI, ZHANG YONG-DE.EVOLUTION OPERATOR AND WAVE FUNCTION OF A TIME-DEPENDENT OSCILLATOR. Acta Physica Sinica, 1999, 48(9): 1601-1604.doi:10.7498/aps.48.1601
[16]	CHEN CHANG-YUAN, LIU YOU-WEN.THE EXACT SOLUTION OF ANHARMONIC OSCILLATOR POTENTIAL AND THE DESCRIPTION OF DOUBLE-WAVE FUNCTION. Acta Physica Sinica, 1998, 47(4): 536-541.doi:10.7498/aps.47.536
[17]	Zuo Wei, Wang Shun-Jin.. Acta Physica Sinica, 1995, 44(9): 1353-1352.doi:10.7498/aps.44.1353
[18]	PENG HUAN-WU.QUANTUM MECHANICAL TREATMENT OF A DAMPED HARMONIC OSCILLATOR. Acta Physica Sinica, 1980, 29(8): 1084-1089.doi:10.7498/aps.29.1084
[19]	Wu Yong-shi;He Zuo-xiu.B-S WAVE FUNCTION FOR A GENERALIZED FOUR-DIMENSIONAL HARMONIC OSCILLATOR. Acta Physica Sinica, 1977, 26(3): 274-276.doi:10.7498/aps.26.274
[20]	ELEMENTARY PARTICLE THEORY GROUP.SOME DISCUSSIONS OF THE STRUCTURE WAVE FUNCTIONS OF MESONS IN THE APPROXIMATION OF INSTANTANEOUS INTERACTION (Ⅱ)——THE HARMONIC OSCILLATOR MODEL OF PSEUDO-SCALAR AND VECTOR MESONS. Acta Physica Sinica, 1976, 25(5): 415-422.doi:10.7498/aps.25.415

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Vol. 47, Issue 12 - 1998-06-20

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