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More on Homological Supersymmetric Quantum Mechanics [PDF]
Physical Review D, 2017 In this work, we first solve complex Morse flow equations for the simplest case of a bosonic harmonic oscillator to discuss localization in the context of Picard-Lefschetz theory.
A. Behtash
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Flow equation for supersymmetric quantum mechanics [PDF]
Journal of High Energy Physics, 2009 We study supersymmetric quantum mechanics with the functional RG formulated in terms of an exact and manifestly off-shell supersymmetric flow equation for the effective action. We solve the flow equation nonperturbatively in a systematic super-covariant derivative expansion and concentrate on systems with unbroken supersymmetry.
Georg Bergner +3 more
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Supersymmetry in the time domain and its applications in optics [PDF]
Nature Communications, 2020 Supersymmetric quantum mechanics enables the description of phenomena exhibiting a supersymmetry only in the space domain. Here, the authors show an underlying time-domain supersymmetry exists in optics, acoustics, and elasticity, and study its ...
Carlos García-Meca +2 more
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Supersymmetric quantum mechanics and Painlevé equations [PDF]
AIP Conference Proceedings, 2014 In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), specially when applied to the harmonic and radial oscillators. In addition, we will define the polynomial Heisenberg algebras (PHA), and we will study the general systems ruled by them: for zero and first order we obtain the harmonic and radial oscillators ...
J C David Fernández, David Bermudez
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DEFORMED CONFORMAL AND SUPERSYMMETRIC QUANTUM MECHANICS [PDF]
Modern Physics Letters A, 1992 Within the standard quantum mechanics a q-deformation of the simplest N=2 supersymmetry algebra is suggested. Resulting physical systems do not have conserved charges and degeneracies in the spectra. Instead, superpartner Hamiltonians are q-isospectral, i.e., the spectrum of one can be obtained from another (with possible exception of the lowest level)
Spiridonov, V.
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Supersymmetric Yang-Mills quantum mechanics [PDF]
, 2002 The new approach to quantum mechanical problems is proposed. Quantum states are represented in an algebraic program, by lists of variable length, while operators are well defined functions on these lists. Complete numerical solution of a given system can then be automatically obtained.
J. Wosiek
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Supersymmetric quantum mechanics of the flux tube [PDF]
Nuclear Physics B, 2016 43 pages, 8 ...
A. Belitsky
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Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 This is a brief survey of applications of the harmonic superspace methods to the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on a recent progress in constructing SQM models with couplings to the background non-Abelian gauge ...
Evgeny A. Ivanov
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Counting Trees in Supersymmetric Quantum Mechanics [PDF]
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2015 We study the supersymmetric ground states of the Kronecker model of quiver quantum mechanics. This is the simplest quiver with two gauge groups and bifundamental matter fields, and appears universally in four-dimensional N=2 systems.
Clay Córdova, Shu-Heng Shao
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Supersymmetric monopole quantum mechanics on a sphere [PDF]
Physical Review D, 2005 We study N=2 supersymmetric quantum mechanics of a charged particle on sphere in the background of Dirac magnetic monopole. We adopt CP(1) model approach in which the monopole interaction is free of singularity. In order to exploit manifest U(1) covariance in the superspace formalism, we introduce a gauge covariant chiral superfield which is ...
Soon-Tae Hong +3 more
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