AN EXACT WAVEFUNCTION OF DAMPED HARMONIC OSCILLATOR

LING RUI-LIANG; FENG JIN-FU

doi:10.7498/aps.47.1952

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.
Authors and contacts
LING RUI-LIANG,

FENG JIN-FU

1.
江苏省常熟高等师范专科学校物理系，常熟 215500
References

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[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
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[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
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[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
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[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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AN EXACT WAVEFUNCTION OF DAMPED HARMONIC OSCILLATOR

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