Hermite polynomials and quasi-classical asymptotics

Hermite polynomials and quasi-classical asymptotics

We study an unorthodox variant of the Berezin-Toeplitz type of quantization scheme, on a reproducing kernel Hilbert space generated by the real Hermite polynomials and work out the associated quasi-classical asymptotics.

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Veröffentlicht in:Journal of mathematical physics 2014-04, Vol.55 (4), p.1
Hauptverfasser: Ali, S. Twareque, Engliš, Miroslav
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Asymptotic properties
ASYMPTOTIC SOLUTIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
HERMITE POLYNOMIALS
HILBERT SPACE
KERNELS
Monte Carlo simulation
Physics
Polynomials
QUANTIZATION
Quantum physics
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Beschreibung
Zusammenfassung:We study an unorthodox variant of the Berezin-Toeplitz type of quantization scheme, on a reproducing kernel Hilbert space generated by the real Hermite polynomials and work out the associated quasi-classical asymptotics.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4869325