Deformed conformal and supersymmetric quantum mechanics
Jan, 199210 pages
Published in:
- Mod.Phys.Lett.A 7 (1992) 1241-1252
e-Print:
- hep-th/9202013 [hep-th]
Report number:
- UDEM-LPN-TH-76
Citations per year
Abstract:
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.Note:
- 11 pages
- quantum mechanics
- supersymmetry: algebra
- algebra: conformal
- algebra: deformation
- Hamiltonian formalism
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