Results 21 to 30 of about 104,941 (239)
Twist deformations of the supersymmetric quantum mechanics [PDF]
Open Physics, 2011 Abstract The $$ \mathcal{N} $$-extended Supersymmetric Quantum Mechanics is deformed via an abelian twist which preserves the super-Hopf algebra structure of its Universal Enveloping Superalgebra. Two constructions are possible. For even $$ \mathcal{N} $$ one can identify the 1D $$ \mathcal{N} $$-extended ...
Castro Paulo +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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An Index Formula for Supersymmetric Quantum Mechanics [PDF]
Journal of Singularities, 2014 We derive a localization formula for the refined index of gauged quantum mechanics with four supercharges. Our answer takes the form of a residue integral on the complexified Cartan subalgebra of the gauge group.
Clay Córdova, Shu-Heng Shao
semanticscholar +4 more sources
IS SUPERSYMMETRIC QUANTUM MECHANICS COMPATIBLE WITH DUALITY? [PDF]
Modern Physics Letters A, 1999 Supersymmetry applied to quantum mechanics has given new insights in various topics of theoretical physics like analytically solvable potentials, WKB approximation or KdV solitons. Duality plays a central role in many supersymmetric theories such as Yang–Mills theories or strings models.
Capdequi-Peyranere, M.
core +5 more sources
Non-commutative supersymmetric quantum mechanics [PDF]
Physics Letters B, 2009 General non-commutative supersymmetric quantum mechanics models in two and three dimensions are constructed and some two and three dimensional examples are explicitly studied. The structure of the theory studied suggest other possible applications in physical systems with potentials involving spin and non-local interactions.
Das, Ashok +3 more
openaire +8 more sources
Revisiting boundary-driven non-equilibrium Markov dynamics in arbitrary potentials via supersymmetric quantum mechanics and via explicit large deviations at various levels [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2023 For boundary-driven non-equilibrium Markov models of non-interacting particles in one dimension, either in continuous space with the Fokker–Planck dynamics involving an arbitrary force F(x) and an arbitrary diffusion coefficient D(x), or in discrete ...
C. Monthus
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Supersymmetric quantum mechanics and the Riemann hypothesis [PDF]
International Journal of Modern Physics A, 2022 We construct a supersymmetric quantum mechanical model in which the energy eigenvalues of the Hamiltonians are the products of Riemann zeta functions. We show that the trivial and nontrivial zeros of the Riemann zeta function naturally correspond to the ...
Pushpa Kalauni, K. Milton
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Quantum chaos in supersymmetric quantum mechanics: An exact diagonalization study [PDF]
Physical Review D, 2022 We use exact diagonalization to study energy level statistics and out-of-time-order correlators (OTOCs) for the simplest supersymmetric extension ˆ H S = ˆ H B ⊗ I + ˆ x 1 ⊗ σ 1 + ˆ x 2 ⊗ σ 3 of the bosonic Hamiltonian ˆ H B = ˆ p 21 + ˆ p 22 + ˆ x 21 ˆ ...
P. Buividovich
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Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass [PDF]
Journal of Mathematics and Physics, 2021 X iv :2 10 6. 08 46 7v 1 [ qu an tph ] 1 5 Ju n 20 21 Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass Bruno G. da Costa, a) Genilson A. C. da Silva, b) and Ignacio S.
Bruno G. da Costa +2 more
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Orbital frontiers: harnessing higher modes in photonic simulators. [PDF]
NanophotonicsAbstract Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crystalline) electronic systems. While most realizations to date have used only the fundamental mode at each site, recent advances in structured light – particularly the
Noh J, Schulz J, Benalcazar W, Jörg C.
europepmc +2 more sources