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Digitale Medien

On generalized coherent states with maximal symmetry for the harmonic oscillator (1989)

Beckers, J. ; Debergh, N.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 30 (1989), S. 1732-1738

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Details

ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: Generalized coherent states for the one-dimensional harmonic oscillator with maximal symmetry, i.e., admitting the semidirect sum so(2,1) (D'Alembertian) h(2) as the largest invariance Lie algebra pointed out by Niederer are constructed. The normalization of such states as well as their completeness property are determined and discussed. They are also analyzed in the subcontexts of the so(2,1) algebra and of the Heisenberg h(2) algebra. General considerations on Heisenberg relations, on minimal dispersions, and on quantum mechanical entropies are presented in connection with the uncertainty principle.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.528261

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