Summary
The quantum friction problem described, by the Caldirola-Kanai time-dependent Hamiltonian is treated via the quantum fluid dynamics. The nonlinear complete set of equations forming the basis of the hydrodynamical model are derived. Exact solutions are exhibited in closed form for the case of the potential force-free motion.
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Nassar, A.B. On the quantum fluid dynamics of dissipative systems. Lett. Nuovo Cimento 41, 476–480 (1984). https://doi.org/10.1007/BF02748387
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DOI: https://doi.org/10.1007/BF02748387