Semicoherent states and the group ISp(2, R)

P. Kramer and M. Saraceno

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 448-453

Abstract: The properties of two structures arising from a particular subset of the general coherent states of ISp(2, R) are studied. At the quantum level, these states support a Hilbert space of analytic functions in two variables which generalizes the Bargmann-Segal space. At a classical level they generate a symplectic manifold on which a Hamiltonian flow is obtained through dequantization via the time-dependent variational principle. This flow provides an approximate description of the coupled motion of the centre of a wave packet and its covariance matrix in phase space.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:448-453

DOI: 10.1016/0378-4371(82)90330-2

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