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Classical viscid media are quite common in our everyday life. However, we arenot used to find such media in quantum mechanics, and much less to analyzetheir effects on the dynamics of quantum systems. In this regard, theCaldirola-Kanai time-dependent Hamiltonian constitutes an appealing model,accounting for friction without including environmental fluctuations (as ithappens, for example, with quantum Brownian motion). Here, a Bohmian analysisof the associated friction dynamics is provided in order to understand how ahypothetical, purely quantum viscid medium would act on a wave packet from a(quantum) hydrodynamic viewpoint. To this purpose, a series of paradigmaticcontexts have been chosen, such as the free particle, the motion under theaction of a linear potential, the harmonic oscillator, or the superposition oftwo coherent wave packets. Apart from their analyticity, these examplesillustrate interesting emerging behaviors, such as localization by "quantumfreezing" or a particular type of quantum-classical correspondence. Thereliability of the results analytically determined has been checked by means ofnumerical simulations, which has served to investigate other problems lackingof such analyticity (e.g., the coherent superpositions).

Dissipative Bohmian mechanics within the Caldirola-Kanai framework: A trajectory analysis of wave-packet dynamics in viscid media