Abstract
We discuss various methods of introducing dissipation to the Schrodinger picture, in the light of the de Broglie-Bohm quantum potential viewpoint. This favours non-linear equations, and Kostin’s Schrödinger-Langevin equation in particular. Generally the non-linearity forces the abandonment of the superposition principle. We give a simple example, the decay of small coherent oscillations, however, where an approximate analytical damped superposition solution may be found.
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References
R.P. Feynman, F.L. Vernon Jr., Ann. Phys. 24, 118 (1963).
G.W. Ford, M. Kac, P. Mazur, J. Math. Phys. 6, 504 (1965).
For a review, see D. Bohm, B.J. Hiley, P.N. Kaloyerou, Phys. Rep. 144, 321 (1987).
T.P. Spiller, P.S. Spencer, T.D. Clark, J.F. Ralph, H. Prance, R.J. Prance, A.J. Clippingdale, ‘Adding dissipation to the Schrddinger equation from the quantum potential viewpoint’, submitted to Foundations of physics letters.
M.D. Kostin, J. Chem. Phys. 57, 3589 (1972).
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© 1992 Springer-Verlag Berlin Heidelberg
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Spiller, T.P. et al. (1992). Introducing Dissipation in the Schrödinger Picture. In: Koch, H., Lübbig, H. (eds) Single-Electron Tunneling and Mesoscopic Devices. Springer Series in Electronics and Photonics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77274-0_32
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DOI: https://doi.org/10.1007/978-3-642-77274-0_32
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