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29 March 2024
 
  » arxiv » quant-ph/9810070

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Quantum and classical stochastic dynamics: Exactly solvable models by supersymmetric methods
Georg Junker ;
Date 23 Oct 1998
Journal in "III. International Workshop on Classical and Quantum Integrable Systems", L.G. Mardoyan, G.S. Pogosyan and A.N. Sissakian eds., (JINR Publishing, Dubna, 1998) 94-103
Subject Quantum Physics; Mathematical Physics; Statistical Mechanics; Exactly Solvable and Integrable Systems | quant-ph cond-mat.stat-mech math-ph math.MP nlin.SI solv-int
AffiliationUniversität Erlangen-Nuürnberg
AbstractA supersymmetric method for the construction of so-called conditionally exactly solvable quantum systems is reviewed and extended to classical stochastic dynamical systems characterized by a Fokker-Planck equation with drift. A class of drift-potentials on the real line as well as on the half line is constructed for which the associated Fokker-Planck equation can be solved exactly. Explicit drift potentials, which describe mono-, bi-, meta-or unstable systems, are constructed and their decay rates and modes are given in closed form.
Source arXiv, quant-ph/9810070
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