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Supersymmetric Wigner–Dunkl quantum mechanics

open access: yesResults in Physics, 2022
Wigner–Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where the commutator between canonical momentum and position operators contains in addition a reflection operator.
Shi-Hai Dong   +3 more
doaj   +4 more sources

Supersymmetric Quantum Mechanics and Topology [PDF]

open access: yesAdvances in High Energy Physics, 2016
Supersymmetric quantum mechanical models are computed by the path integral approach. In the β→0 limit, the integrals localize to the zero modes. This allows us to perform the index computations exactly because of supersymmetric localization, and we will ...
Muhammad Abdul Wasay
doaj   +5 more sources

Thermomagnetic properties and its effects on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and supersymmetric quantum mechanics (SUSYQM) methods. [PDF]

open access: yesSci Rep, 2023
Thermomagnetic properties, and its effects on Fisher information entropy with Schioberg plus Manning-Rosen potential are studied using NUFA and SUSYQM methods in the presence of the Greene-Aldrich approximation scheme to the centrifugal term.
Okon IB   +14 more
europepmc   +2 more sources

Complex Langevin dynamics and supersymmetric quantum mechanics [PDF]

open access: yesJournal of High Energy Physics, 2021
Using complex Langevin method we probe the possibility of dynamical supersymmetry breaking in supersymmetric quantum mechanics models with complex actions.
Anosh Joseph, Arpith Kumar
doaj   +2 more sources

Trends in Supersymmetric Quantum Mechanics [PDF]

open access: yesIntegrability, Supersymmetry and Coherent States, 2018
Along the years, supersymmetric quantum mechanics (SUSY QM) has been used for studying solvable quantum potentials. It is the simplest method to build Hamiltonians with prescribed spectra in the spectral design.
David J Fernández C
semanticscholar   +5 more sources

Deformed supersymmetric quantum mechanics with spin variables [PDF]

open access: yesJournal of High Energy Physics, 2018
We quantize the one-particle model of the SU(2|1) supersymmetric multiparticle mechanics with the additional semi-dynamical spin degrees of freedom.
Sergey Fedoruk   +2 more
doaj   +2 more sources

Double-graded supersymmetric quantum mechanics [PDF]

open access: yesJournal of Mathematical Physics, 2019
A quantum mechanical model that realizes the $ \mathbb{Z}_2 \times \mathbb{Z}_2$-graded generalization of the one-dimensional supertranslation algebra is proposed.
A. Bruce, S. Duplij
semanticscholar   +6 more sources

Spherical branes and the BMN matrix quantum mechanics [PDF]

open access: yesJournal of High Energy Physics
We study the maximally supersymmetric Yang-Mills theory on S d using supersymmetric localisation and holography. We argue that the analytic continuation in dimension to d = 1 yields a Euclidean version of the BMN matrix quantum mechanics. This system can
Nikolay Bobev   +2 more
doaj   +2 more sources

Shape Invariant Potentials in Supersymmetric Quantum Cosmology [PDF]

open access: yesUniverse, 2022
In this brief review, we comment on the concept of shape invariant potentials, which is an essential feature in many settings of N=2 supersymmetric quantum mechanics.
Shahram Jalalzadeh   +2 more
doaj   +2 more sources

Direct computational approach to lattice supersymmetric quantum mechanics [PDF]

open access: yesNuclear Physics B, 2018
We study the lattice supersymmetric models numerically using the transfer matrix approach. This method consists only of deterministic processes and has no statistical uncertainties.
Daisuke Kadoh, Katsumasa Nakayama
doaj   +2 more sources

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