Abstract
We show that a straightforward generalization of Wigner theorem, or of Dirac's superposition principle, allows to introduce deterministic frictional forces in quantum dynamics. These dissipative evolutions are fully compatible with the Hilbert space structure of quantum kinematics, and provide a description of damped quantum systems. In particular the damped harmonic oscillator and spin relaxation (possibly with a fluctuating field) are considered.
Partially supported by the Swiss National Foundation
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© 1984 Springer-Verlag
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Gisin, N. (1984). A model of irreversible deterministic quantum dynamics. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071717
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DOI: https://doi.org/10.1007/BFb0071717
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