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Fractional supersymmetry and quantum mechanics
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 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 mechanics, is realized in terms of \pg\ variables satisfying $\t^F=0$.
Stéphane Durand
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Supersymmetry in quantum mechanics
Uspekhi Fizicheskikh Nauk, 1985This review is an elementary introduction to supersymmetry. The example of supersymmetric quantum mechanics is used to discuss the basic concepts of supersymmetry and its characteristic features: anticommuting variables, supercharges, the cancellation of divergences, the vanishing of the vacuum energy, the degeneracy of energy spectra, and the ...
S Ya Nikitin +2 more
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Supersymmetry and the quantum mechanics of spin
Nuclear Physics B, 1989 Abstract Bohr-Sommerfeld quantization is exact for a spin in a magnetic field. This well-known result is connected with the existence of a hidden supersymmetry. I discuss the supersymmetry and, in a broader context, the semiclassical quantum-mechanical interpretation of the Weyl character formula for compact, semisimple Lie groups.
Michael Stone
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-fold supersymmetry in quantum mechanics: general formalism [PDF]
Nuclear Physics B, 2001 25 ...
Masatoshi Sato
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SUPERSYMMETRY IN QUANTUM MECHANICS
International Journal of Modern Physics A, 1990A pedagogical review on supersymmetry in quantum mechanis is presented which provides a comprehensive coverage of the subject. First, the key ingredients on the quantization of the systems with anticommuting variables are discussed. The supersymmetric Hamiltotian in quantum mechanics is then constructed by emphasizing the role of partner potentials ...
ANURADHA LAHIRI +2 more
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Fermionic coordinates and supersymmetry in quantum mechanics [PDF]
Nuclear Physics B, 1982 Abstract We describe the quantum mechanics of particles with fermionic degrees of freedom, both in the Schrodinger wave function and Feynman path integral formalism. In particular we derive an exact expression for fermionic path integrals in (0 + 1) dimensions. Under suitable circumstances the theories we consider can exhibit supersymmetry.
P Salomonson, J W van Holten
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Supersymmetry in problems of quantum mechanics
Soviet Physics Journal, 1988A connection is discussed between the group SU(2) and supersymmetry for a series of quantum mechanical problems. It is pointed out that the impossibility of factorizing Hamiltonians obtained based on representations of the group SU(2) indicates that the supersymmetry of the system is broken.
V. G. Bagrov, A. S. Vshivtsev
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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.
Ranabir Dutt +5 more
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A scenario of supersymmetry in quantum mechanics
Il Nuovo Cimento A, 1988We construct a scenario of supersymmetry in quantum mechanics by imposing a structure on the raising and lowering operators. Possible consequences are worked out in one dimension which includes relating supersymmetry to the infinite deep well ...
A. Lahiri, P. Kumar Roy, B. Bagchi
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Supersymmetry shape invariance and solubility in quantum mechanics
Physical Review A, 1989Analyse du domaine d'application du concept d'invariance de forme de supersymetrie, en relation avec la solubilite d'hamiltoniens quantiques. On montre que la situation est rigoureusement la meme que dans le cas du domaine d'application de la methode de factorisation de Infeld et ...
, Montemayor, , Salem
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