Deformed Conformal and Supersymmetric Quantum Mechanics

Details Deformed Conformal and Supersymmetric Quantum Mechanics Deformed Conformal and Supersymmetric Quantum Mechanics

1992-02-05

arxiv.org/abs/hep-th/9202013v1

Mod.Phys.Lett. A7 (1992) 1241-1252

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

Within the standard quantum mechanics a q-deformation of the simplest N=2 supersymmetry algebra is suggested. Resulting physical systems do not have conserved charges and degeneracies in the spectra. Instead, superpartner Hamiltonians are q-isospectral, i.e. the spectrum of one can be obtained from another by the q^2-factor scaling. A special class of the self-similar potentials is shown to obey the dynamical conformal symmetry algebra su_q(1,1). These potentials exhibit exponential spectra and corresponding raising and lowering operators satisfy the q-deformed harmonic oscillator algebra of Biedenharn and Macfarlane.

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