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Supersymmetry in the time domain and its applications in optics [PDF]

open access: yesNature 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
doaj   +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

Membrane quantum mechanics [PDF]

open access: yesNuclear Physics B, 2015
We consider the multiple M2-branes wrapped on a compact Riemann surface and study the arising quantum mechanics by taking the limit where the size of the Riemann surface goes to zero.
Tadashi Okazaki
doaj   +3 more sources

Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry

open access: yesBeni-Suef University Journal of Basic and Applied Sciences, 2022
Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
doaj   +1 more source

Numerical bootstrap in quantum mechanics

open access: yesPhysics Letters B, 2021
We study the effectiveness of the numerical bootstrap techniques recently developed in [1] for quantum mechanical systems. We find that for a double well potential the bootstrap method correctly captures non-perturbative aspects.
Jyotirmoy Bhattacharya   +4 more
doaj   +1 more source

Super algebra and Harmonic Oscillator in Anti de Sitter space [PDF]

open access: yesIranian Journal of Astronomy and Astrophysics, 2019
The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space.
Omid Jalili, Shahin Toni
doaj   +1 more source

New AdS2/CFT1 pairs from AdS3 and monopole bubbling

open access: yesJournal of High Energy Physics, 2023
We present general results on generating AdS2 solutions to Type II supergravity from AdS3 solutions via U(1) and SL(2) T-dualities. We focus on a class of Type IIB solutions with small 𝒩 = 4 supersymmetry, that we show can be embedded into a more general
Andrea Conti   +2 more
doaj   +1 more source

Fractional Supersymmetric Hermite Polynomials

open access: yesMathematics, 2020
We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator.
Fethi Bouzeffour, Wissem Jedidi
doaj   +1 more source

On stochastic quantisation of supersymmetric theories

open access: yesPhysics Letters B, 2019
We explain how stochastic TQFT supersymmetry can be made compatible with space supersymmetry. Taking the case of N=2 supersymmetric quantum mechanics, (the proof would be the same for the Wess–Zumino model), we determine the kernels that ensure the ...
Laurent Baulieu
doaj   +1 more source

Quantum SU(2|1) supersymmetric ℂ N Smorodinsky-Winternitz system

open access: yesJournal of High Energy Physics, 2021
We study quantum properties of SU(2|1) supersymmetric (deformed N $$ \mathcal{N} $$ = 4, d = 1 supersymmetric) extension of the superintegrable Smorodinsky-Winternitz system on a complex Euclidian space ℂ N . The full set of wave functions is constructed
Evgeny Ivanov   +2 more
doaj   +1 more source

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