264 citations · 270 across the 13 of their papers we have counts for
5 papers · 1 filter
Orthogonal polynomials, Laguerre Fock space and quasi-classical asymptotics
S. Twareque Ali, Miroslav Englis
Continuing our earlier investigation of the Hermite case [J. Math. Phys. 55 (2014), 042102], we study an unorthodox variant of the Berezin-Toeplitz quantization scheme associated w…
Hermite Polynomials and Quasi-classical Asymptotics
S. Twareque Ali, Miroslav Englis
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…
Wigner transform and pseudodifferential operators on symmetric spaces of non-compact type
S. Twareque Ali, Miroslav Englis
We obtain a general expression for a Wigner transform (Wigner function) on symmetric spaces of non-compact type and study the Weyl calculus of pseudodifferential operators on them.
Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
Miroslav Englis, Harald Upmeier
For a real symmetric domain , with complexification , we introduce the concept of "star-restriction" (a real analogue of t…
Quantization Methods: A Guide for Physicists and Analysts
S. Twareque Ali, Miroslav Engliš
In this review we attempt to present an overview of some of the better known quantization techniques found in the current literature and used both by physicists and mathematicians.…