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This article is cited in 113 scientific papers (total in 113 papers)
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“Jarring” of a quantum system and the corresponding stimulated transitions
A. M. Dykhne, G. L. Yudin I. V. Kurchatov Institute of Atomic Energy
Abstract:
A systematic theory of sudden perturbations is derived for quantum systems whose states are described both by wave functions (a pure ensemble) and by a quantum density operator (a mixed ensemble). A perturbation series is written in powers of the parameter $\omega\tau$, which is small when the perturbation is “sudden”; $\hbar\omega$ is the typical eigenvalue of the unperturbed system; and $\tau$ is the characteristic collision time. When the perturbation $V(t)$, taken at different times, commutes with itself, the theory yields a compact analytic expression for the probabilities for stimulated transitions for any value of $V(t)/\hbar$. The results of many cross-section calculations for atomic collision processes are discussed from a common standpoint: the processes are treated as “jarring” processes which stimulate transitions in the quantum system. If a momentum $\delta_p$ is rapidly transferred to the system in a collision, regardless of the physical nature of the “jarring”, the probabilities for the stimulated transitions are governed by the parameter $N\sim\delta_p\cdot\delta R/\hbar$ where $\delta R$ is a measure of the uncertainty in the coordinates which is due to the relatively slow motions in the unperturbed system.
Citation:
A. M. Dykhne, G. L. Yudin, ““Jarring” of a quantum system and the corresponding stimulated transitions”, UFN, 125:3 (1978), 377–407; Phys. Usp., 21:7 (1978), 549–565
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https://www.mathnet.ru/eng/ufn9523 https://www.mathnet.ru/eng/ufn/v125/i3/p377
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Abstract page: | 61 | Full-text PDF : | 17 |
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