dorsal/arxiv
View SchemaCoherent states for exactly solvable potentials
| Authors | T. Shreecharan, Prasanta K. Panigrahi, J. Banerji |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309038 |
| URL | https://arxiv.org/abs/quant-ph/0309038 |
| DOI | 10.1103/PhysRevA.69.012102 |
| Journal | Phys. Rev. A 69, 012102 (2004) |
Abstract
A general algebraic procedure for constructing coherent states of a wide class of exactly solvable potentials e.g., Morse and P{\"o}schl-Teller, is given. The method, {\it a priori}, is potential independent and connects with earlier developed ones, including the oscillator based approaches for coherent states and their generalizations. This approach can be straightforwardly extended to construct more general coherent states for the quantum mechanical potential problems, like the nonlinear coherent states for the oscillators. The time evolution properties of some of these coherent states, show revival and fractional revival, as manifested in the autocorrelation functions, as well as, in the quantum carpet structures.
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"abstract": "A general algebraic procedure for constructing coherent states of a wide\nclass of exactly solvable potentials e.g., Morse and P{\\\"o}schl-Teller, is\ngiven. The method, {\\it a priori}, is potential independent and connects with\nearlier developed ones, including the oscillator based approaches for coherent\nstates and their generalizations. This approach can be straightforwardly\nextended to construct more general coherent states for the quantum mechanical\npotential problems, like the nonlinear coherent states for the oscillators. The\ntime evolution properties of some of these coherent states, show revival and\nfractional revival, as manifested in the autocorrelation functions, as well as,\nin the quantum carpet structures.",
"arxiv_id": "quant-ph/0309038",
"authors": [
"T. Shreecharan",
"Prasanta K. Panigrahi",
"J. Banerji"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.012102",
"journal_ref": "Phys. Rev. A 69, 012102 (2004)",
"title": "Coherent states for exactly solvable potentials",
"url": "https://arxiv.org/abs/quant-ph/0309038"
},
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