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On the Time Dependent Oscillator and the Nonlinear Realizations of the Virasoro Group
| Content Provider | Semantic Scholar |
|---|---|
| Author | Akulov, V. P. Catto, Sultan Cebecioǧlu, Oktay Pashnev, A. |
| Copyright Year | 2003 |
| Abstract | Using the nonlinear realizations of the Virasoro group we construct the action of the Conformal Quantum Mechanics (CQM) with additional harmonic potential. We show that SL(2, R) invariance group of this action is nontrivially embedded in the reparametrization group of the time which is isomorphic to the centerless Virasoro group. We generalize the consideration to the Ermakov systems and construct the action for the time dependent oscillator. Its symmetry group is also the SL(2, R) ∼ SU(1, 1) group embedded in the Virasoro group in a more complicated way. E-mail: akulov@gursey.baruch.cuny.edu E-mail: scatto@gc.cuny.edu E-mail: ocebecioǧlu@yahoo.com E-mail: pashnev@thsun1.jinr.ru |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-th/0303134v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-th/0303134v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Email Embedded system Embedding Fuchsian group Hamiltonian (quantum mechanics) Nonlinear system Oscillator Device Component Population Parameter Quantum harmonic oscillator Quantum mechanics Theory cell transformation |
| Content Type | Text |
| Resource Type | Article |
