Stochastic Equations of Motion for the Linear Response.I.General Theory
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Time-convolution and time-convolutionless expressions for the quantal equa-tion of motion for the linear response of a system under random perturbationsto an external, time-varying ch'iving field are derived from the stochastic quantalLiouville equation for the total system. They have forms convenient for the per-turbational expansions in powers of the random perturbations. One is comparedwith another for two initial cornditions. It is shown that the time-convolutionlessform of equation prevails over the time-convolution form, especially when theeffects of the random perturbations are discussed except in the narrowing limitor when the effects of interference of the external driving field and the randomperturbations are discussed. The higher order expansions of these equations arementioned.
- 社団法人日本物理学会の論文
- 1983-12-15
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