On the quantum mechanical treatment of dissipative systems
- 1 October 1975
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (10) , 2005-2011
- https://doi.org/10.1063/1.522431
Abstract
Two types of Hamiltonians are investigated which describe quantum mechanically a particle moving subject to a linear viscous force under the influence of a conservative force: the conventional explicitly time‐dependent one and an alternative class of nonlinear Hamiltonians. In the latter group we propose a new form. By Ehrenfest’s theorem the expectation values of the operators of physical observables correspond to the classical quantities. For all Schrödinger equations we derive and discuss wavepacket, wave, stationary, and pseudostationary solutions of force free motion, free fall, and harmonic oscillator.Keywords
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