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Action–angle variables, ladder operators and coherent states

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Campoamor Stursberg, Otto Ruttwig and Gadella, M. and Kuru, S and Negro, J. (2012) Action–angle variables, ladder operators and coherent states. Physics Letters A, 376 (37). pp. 2515-2521. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/S0375960112007657


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Abstract

This Letter is devoted to the building of coherent states from arguments based on classical action–angle variables. First, we show how these classical variables are associated to an algebraic structure in terms of Poisson brackets. In the quantum context these considerations are implemented by ladder type operators and a structure known as spectrum generating algebra. All this allows to generate coherent states and thereby the correspondence of classical–quantum properties by means of the aforementioned underlying structure. This approach is illustrated with the example of the one-dimensional Pöschl–Teller potential system.


Item Type:Article
Uncontrolled Keywords:Coherent states ; Action–angle variables; Ladder operators; Pöschl–Teller potential
Subjects:Sciences > Physics > Quantum theory
ID Code:20717
Deposited On:09 Apr 2013 18:16
Last Modified:12 Dec 2018 15:12

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