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Supersymmetry and quantum mechanics [PDF]
Physics Reports, 1995 In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a much deeper understanding of why certain potentials are analytically solvable and an array ...
Uday Sukhatme
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Supersymmetry in quantum mechanics
American Journal of Physics, 1986 We give some illustrations and interpretations of supersymmetry in quantum mechanics in simple models. We show that the value of 2 for the g factor of the electron expresses the presence of supersymmetry in the Hamiltonian for an electron in a uniform ...
Richard W Haymaker, A R P Rau, Rau A R P
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Supersymmetry in quantum mechanics with point interactions [PDF]
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2003 We investigate supersymmetry in one-dimensional quantum mechanics with point interactions. We clarify a class of point interactions compatible with supersymmetry and present N = 2 supersymmetric models on a circle with two point interactions as well as a
Tomoaki Nagasawa +2 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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Membrane quantum mechanics [PDF]
Nuclear 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
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Complex Langevin dynamics and supersymmetric quantum mechanics
Journal 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
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Chiral Loop Quantum Supergravity and Black Hole Entropy
Universe, 2023 Recent work has shown that local supersymmetry on a spacetime boundary in N-extended AdS supergravity in chiral variables implies coupling to a boundary OSp(N|2)C super Chern–Simons theory.
Konstantin Eder, Hanno Sahlmann
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Supersymmetry‐inspired WKB approximation in quantum mechanics
American Journal of Physics, 1991 The supersymmetry-inspired WKB approximation (SWKB) in quantum mechanics is discussed in detail. The SWKB method can be easily applied to any potential whose ground-state wave function is known.
Uday P Sukhatme, Khare Avinash
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Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry
Beni-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
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Numerical bootstrap in quantum mechanics
Physics 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
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