Journal ArticleDOI
Nicolai map in supersymmetric quantum mechanics
D. T. Gegeliya,L. A. Slepchenko +1 more
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This article is published in Theoretical and Mathematical Physics.The article was published on 1991-01-01. It has received 3 citations till now. The article focuses on the topics: Supersymmetric quantum mechanics & Open quantum system.read more
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Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics
TL;DR: In this article, it was shown that the localized fermionic degrees of freedom, which are up and down quarks as long as charged leptons, are connected to three independent N=2, $d=1$ supersymmetric quantum mechanics algebras.
Journal ArticleDOI
Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics
TL;DR: In this paper, the authors studied fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework and showed that these fields can be combined to form higher order representations of N = 2, d = 1 supersymmetric quantum mechanics algebras.
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Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices
Kostas Kleidis,V. K. Oikonomou +1 more
TL;DR: In this article, it was shown that fermionic zero modes around non-abelian vortices constitute two N = 2, d = 1 supersymmetric quantum mechanics algebras.
References
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Book
Handbook of Stochastic Methods: For Physics, Chemistry and the Natural Sciences
TL;DR: The Handbook of Stochastic Methods as mentioned in this paper covers the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations, approximation methods, chemical master equations, and quatum-mechanical Markov processes.
Journal Article
Handbook of stochastic methods for physics, chemistry and the natural sciences, second edition
TL;DR: The Handbook of Stochastic Methods covers systematically and in simple language the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations, approximation methods, chemical master equations, and quatum-mechanical Markov processes.
Book
Functional Integration and Semiclassical Expansions
TL;DR: In this paper, the authors define functional integrals defined as limits of discretized expressions and functional integral representations of expectation values, and define correspondence rules, functional integral methods in Fokker-Planck dynamics and product integrals.
Journal ArticleDOI
Supersymmetric field theories and stochastic differential equations
Giorgio Parisi,N. Sourlas +1 more
TL;DR: In this paper, it was shown that some supersymmetric models can be written as classical stochastic equations, such as the free field theory, and spontaneous breaking of supersymmetry is related to the number of solutions.