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On a quantum-mechanical description of motion with friction

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Abstract

A method for the quantum treatment of motion in a dissipative system is considered. The one-dimensional problem is described by a nonlinear integro-differential generalization of the Schrodinger equation. An exact solution is found for the case of free motion with friction. The problem of the infinite-wall potential is considered and an approximate solution is obtained. The solution provides an example of a system with friction, having parameters that depend on the amount of time that has passed from the moment the system was created. This effect can be tentatively applied to the interpretation of experimental indications of the effective time dependence of hadron cross-sections.

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Authors and Affiliations

  1. Institute of High Energy Physics, Protvino

    B. A. Arbuzov

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  1. B. A. Arbuzov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 106, No. 2, pp. 300–305, February, 1996.

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Arbuzov, B.A. On a quantum-mechanical description of motion with friction. Theor Math Phys 106, 249–253 (1996). https://doi.org/10.1007/BF02071079

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  • DOI: https://doi.org/10.1007/BF02071079

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