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arXiv · hep-th/9207047

Schrodinger Equation for Particle with Friction

Alexios P. Polychronakos·Rodanthy Tzani
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Abstract

A new quantum mechanical wave equation describing a particle with frictional forces is derived. It depends on a parameter $α$ whose range is determined by the coefficient of friction $γ$, that is, $0 \leq α\leq γ$. For one extreme value of this parameter, $α= 0$, we recover Kostin's equation. For the other extreme value, $α= γ$, we obtain an equation in which friction manifests in "magnetic" type terms. It further exhibits breakdown of translational invariance, manifesting through a symmetry breaking parameter $β$, as well as localized stationary states in the absence of external potentials. Other physical properties of this new class of equations are also discussed.

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Alexios P. Polychronakos, Rodanthy Tzani. 1992-07-14. Schrodinger Equation for Particle with Friction. https://doi.org/10.1016/0370-2693(93)90393-v

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