Unitary relation for the time-dependent SU(1,1) systems
| dc.creator | Song, Dae-Yup | |
| dc.date | 2003-03-24 | |
| dc.date.accessioned | 2026-07-07T06:06:25Z | |
| dc.date.available | 2026-07-07T06:06:25Z | |
| dc.description | The system whose Hamiltonian is a linear combination of the generators of SU(1,1) group with time-dependent coefficients is studied. It is shown that there is a unitary relation between the system and a system whose Hamiltonian is simply proportional to the generator of the compact subgroup of the SU(1,1). The unitary relation is described by the classical solutions of a time-dependent (harmonic) oscillator. Making use of the relation, the wave functions satisfying the Schrödinger equation are given for a general unitary representation in terms of the matrix elements of a finite group transformation (Bargmann function). The wave functions of the harmonic oscillator with an inverse-square potential is studied in detail, and it is shown that, through an integral, the model provides a way of deriving the Bargmann function for the representation of positive discrete series of the SU(1,1). | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0303143 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0303143 | |
| dc.identifier | Phys. Rev. A 68, 012108 (2003) | |
| dc.identifier | doi:10.1103/PhysRevA.68.012108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90966 | |
| dc.subject | Quantum Physics | |
| dc.title | Unitary relation for the time-dependent SU(1,1) systems | |
| dc.type | text |