Results 1 to 10 of about 20,755 (243)
Fractional supersymmetry and quantum mechanics [PDF]
Physics Letters B, 1993 We present a set of quantum-mechanical Hamiltonians which can be written as the $F^{\,\rm th}$ power of a conserved charge: $H=Q^F$ with $[H,Q]=0$ and $F=2,3,...\, .$ This new construction, which we call {\it fractional}\/ supersymmetric quantum ...
Stéphane Durand
core +8 more sources
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 of powerful new approximation methods for handling potentials which are not exactly solvable. In this
Fred Cooper, Avinash Khare, U. Sukhatme
semanticscholar +6 more sources
Lattice study of supersymmetry breaking in N=2 supersymmetric quantum mechanics [PDF]
Nuclear Physics B, 2019 We study supersymmetry breaking from a lattice model of N=2 supersymmetric quantum mechanics using a direct computational method proposed in arXiv:1803.07960. The vanishing Witten index is realized as a numerical result in high precision. The expectation
Daisuke Kadoh, Katsumasa Nakayama
doaj +3 more sources
BRIEFLY REVISITING THE QUANTUM MECHANICS SUPERSYMMETRY ALGEBRA AND GROUP [PDF]
International Journal of Pure and Apllied Mathematics, 2014 We review supersymmetry (SUSY) in nonrelativistic quantum mechanics emphasizing algebraic aspects. We discuss the Hamiltonian subgroup implementing supersymmetry as well as the corresponding algebra of the SUSY generators.
Ronaldo Thibes +2 more
semanticscholar +3 more sources
Journal of Physics: Conference SeriesThe Xth International Workshop on New Challenges in Quantum Mechanics: Graphene, Supersymmetry and Mathematical Physics (X IWNCQM) was held at the Department of Physics of the Center for Research and Advanced Studies (Cinvestav) in Mexico City from May ...
David Bermúdez +2 more
semanticscholar +3 more sources
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
doaj +2 more sources
A class of exactly solvable models to illustrate supersymmetry and test approximation methods in quantum mechanics [PDF]
American Journal of Physics, 2011 We obtain analytical expressions for the eigenvalues and eigenstates of a family of exponential-type potential wells. The supersymmetry formalism applied to quantum mechanics is summarized and illustrated by producing from this family of potentials ...
C. Fabre, David Guéry-Odelin
semanticscholar +7 more sources
Observation of supersymmetry and its spontaneous breaking in a trapped ion quantum simulator. [PDF]
Nat Commun, 2022 Supersymmetry (SUSY) helps solve the hierarchy problem in high-energy physics and provides a natural groundwork for unifying gravity with other fundamental interactions.
Cai ML +8 more
europepmc +3 more sources
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
doaj +2 more sources
Supersymmetry in quantum mechanics with point interactions [PDF]
, 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
openalex +6 more sources