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Deformation of supersymmetric and conformal quantum mechanics through affine transformations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Spiridonov, Vyacheslav |
| Copyright Year | 1993 |
| Description | Affine transformations (dilatations and translations) are used to define a deformation of one-dimensional N = 2 supersymmetric quantum mechanics. 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 (with possible exception of the lowest level) by q(sup 2)-factor scaling. This construction allows easily to rederive a special self-similar potential found by Shabat and to show that for the latter a q-deformed harmonic oscillator algebra of Biedenharn and Macfarlane serves as the spectrum generating algebra. A general class of potentials related to the quantum conformal algebra su(sub q)(1,1) is described. Further possibilities for q-deformation of known solvable potentials are outlined. |
| File Size | 367377 |
| Page Count | 6 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19930018132 |
| Archival Resource Key | ark:/13960/t23c0zn24 |
| Language | English |
| Publisher Date | 1993-01-01 |
| Access Restriction | Open |
| Subject Keyword | Thermodynamics And Statistical Physics Supersymmetry Quantum Mechanics Lie Groups Schroedinger Equation Hamiltonian Functions Factorization Harmonic Oscillators Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
