Abstract
The inherent linearity of quantum mechanics is one of the difficulties in developing a fully quantum theory of dissipative processes. Several microscopic and more or less phenomenological descriptions of quantum dissipative dynamics have been proposed in the past. Following the successful development of classical metriplectic dynamics — a systematic description of dissipative systems using a natural extension of symplectic dynamics — we discuss the possibility of a similar formulation for quantum dissipative systems. Particular attention is paid to the Madelung representation of quantum mechanics.
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© 1996 Springer-Verlag
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Turski, Ł.A. (1996). Dissipative quantum mechanics. Metriplectic dynamics in action. In: Petru, Z., Przystawa, J., Rapcewicz, K. (eds) From Quantum Mechanics to Technology. Lecture Notes in Physics, vol 477. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106032
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DOI: https://doi.org/10.1007/BFb0106032
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