Dissipative Bohmian mechanics: A trajectory analysis of wave-packet dynamics in viscid media

Ángel S. Sanz, R. Mart, Germán A. Rojas-Lorenzo

Published Jun 27, 2013• 4 citations

Abstract

Classical viscid media are quite common in our everyday life. However, we are not used to find such media in quantum mechanics and much less to analyze their effects on the dynamics of quantum systems. Here we provide a Bohmian analysis of the friction dynamics led by hypothetical quantum viscid media, which will be simulated by means of the so-called Caldirola-Kanai Hamiltonian. As it is shown, this causal model enables a better understanding of phenomena, such as quantum localization (“quantum freezing”) or the quantum-to-classical transition. We have analyzed these phenomena in a series of paradigmatic situations of quantum mechanics, such as free wave-packet evolution, motion in a linear potential, damped harmonic oscillator and interference dynamics.

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