Quantization of motion in a velocity-dependent field: Thecase
- 1 April 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 23 (4) , 1591-1593
- https://doi.org/10.1103/physreva.23.1591
Abstract
The case of the quantum unidimensional motion of a point particle subject to a viscous force proportional to the square of the speed of the particle is treated. Once a suitable Lagrangian has been chosen, the canonical quantization procedure is applied leading to a Schrödinger equation for quadratic friction and an arbitrary potential. The cases of an exponentially decreasing potential plus a linearly increasing term is explicitly solved.Keywords
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