Quantized Friction and the Correspondence Principle: Single Particle with Friction

Kan, Kit-Keung; Griffin, James J.

doi:10.1016/0370-2693(74)90548-6

Quantized Friction and the Correspondence Principle: Single Particle with Friction

Kit-Keung Kan
(
- Maryland U.
)
,
James J. Griffin
(
- Maryland U.
)

Jan, 1974

3 pages

Published in:

Phys.Lett.B 50 (1974) 241-243

Published: 1974

DOI:

10.1016/0370-2693(74)90548-6

Report number:

MdDP-TR-74-054,
ORO-4317-34

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Abstract: (Elsevier)

A non-linear time-dependent Schrödinger equation is derived by means of physical arguments and the correspondence principle to describe a quantal system acted upon by a frictional force. It involves non-linear terms of the same type as those already derived by Kostin for the Schrödinger-Langevin problem. Exact solutions are exhibited in closed form for the case of an harmonic oscillator. They exhibit reasonable properties and support the belief that the equation proposed provides an appropriate physical description.

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- J.Chem.Phys. 57 3589

- Z.Phys. 40 332

- J.Math.Phys. 6 504