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Higher-order supersymmetric quantum mechanics
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fernández, D. Jaramillo |
| Copyright Year | 2004 |
| Abstract | We review the higher-order supersymmetric quantum mechanics (H-SUSY QM), which involves differential intertwining operators of order greater than one. The iterations of first-order SUSY transformations are used to derive in a simple way the higher-order case. The second order technique is addressed directly, and through this approach unexpected possibilities for designing spectra are uncovered. The formalism is applied to the harmonic oscillator: the corresponding HSUSY partner Hamiltonians are ruled by polynomial Heisenberg algebras which allow a straight construction of the coherent states. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://cds.cern.ch/record/823496/files/0502098.pdf |
| Alternate Webpage(s) | https://www.fis.cinvestav.mx/~david/papers/aipcp744-236.pdf |
| Alternate Webpage(s) | http://homepage.cem.itesm.mx/fdelgado/ciencia/cadi/ref16.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Coherent states Creation and annihilation operators First-order predicate Ground state Heisenberg picture Iteration Iterative method Mathematics Microsoft Outlook for Mac Nonlinear system Oscillator Device Component Polynomial Radial (radio) Radial basis function Semantics (computer science) Solutions Supersymmetric quantum mechanics cell transformation |
| Content Type | Text |
| Resource Type | Article |