Open AccessQUANTUM MECHANICAL TREATMENT OF A DAMPED HARMONIC OSCILLATOR
Author(s) -
PENG HUAN-WU
Publication year - 1980
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.29.1084
Subject(s) - harmonic oscillator , physics , action (physics) , quantum , momentum (technical analysis) , classical mechanics , displacement (psychology) , quantum harmonic oscillator , quantum mechanics , harmonic , psychology , finance , economics , psychotherapist
Assuming a damping force proportional to the velocity, it is shown that the usual quantum condition between the physical variables, namely the displacement and the momentum, has to be modified by the damping. However, it is possible to change to new variables which are canonical. Then we can apply the usual quantum mechanics and use the usual physical interpretation through the statistical average values. The case of a one-dimensional damped harmonic oscillator under the action of an arbitrary external force has been worked out as an example. No difficulty arises and the results are reasonable.