1992/07/14 by Alexios P. Polychronakos, Rodanthy Tzani · 1 citation
Physics and Astronomy · #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1016/0370-2693(93)90393-v
published as Phys.Lett. B302 (1993) 255-260 · 11 pages
arxiv created 1992/07/14 · openalex publication_date 1993/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 ≤ α≤ 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.