dorsal/arxiv
View SchemaQuantum and classical stochastic dynamics: Exactly solvable models by supersymmetric methods
| Authors | Georg Junker |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9810070 |
| URL | https://arxiv.org/abs/quant-ph/9810070 |
| 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 |
Abstract
A 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.
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"abstract": "A supersymmetric method for the construction of so-called conditionally\nexactly solvable quantum systems is reviewed and extended to classical\nstochastic dynamical systems characterized by a Fokker-Planck equation with\ndrift. A class of drift-potentials on the real line as well as on the half line\nis constructed for which the associated Fokker-Planck equation can be solved\nexactly. Explicit drift potentials, which describe mono-, bi-, meta-or unstable\nsystems, are constructed and their decay rates and modes are given in closed\nform.",
"arxiv_id": "quant-ph/9810070",
"authors": [
"Georg Junker"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"math-ph",
"math.MP",
"nlin.SI",
"solv-int"
],
"journal_ref": "in \"III. International Workshop on Classical and Quantum\n Integrable Systems\", L.G. Mardoyan, G.S. Pogosyan and A.N. Sissakian eds.,\n (JINR Publishing, Dubna, 1998) 94-103",
"title": "Quantum and classical stochastic dynamics: Exactly solvable models by supersymmetric methods",
"url": "https://arxiv.org/abs/quant-ph/9810070"
},
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