Coherent states for the Manin plane via Toeplitz quantization
DOI10.1063/1.5133069zbMath1455.81033arXiv1906.07707OpenAlexW3102890038MaRDI QIDQ5110752
Micho Đurđevich, Stephen Bruce Sontz
Publication date: 22 May 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.07707
quantum theoryHilbert spacepower seriescomplex functionscoherent statesfunctional analysisannihilation operatoroperator theory
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Canonical quantization (81S08)
Cites Work
- Unnamed Item
- Coherent states, wavelets, and their generalizations
- General concept of quantization
- Coherent states and their applications. A contemporary panorama
- The classical limit of quantum spin systems
- Toeplitz Quantization for Non-commutating Symbol Spaces such as SUq(2)
- Finite-dimensional Hilbert space and frame quantization
- Coherent state quantization of paragrassmann algebras
- On a Hilbert space of analytic functions and an associated integral transform part I
- Finite tight frames and some applications
- QUANTIZATION
- On completeness of coherent states in noncommutative spaces with the generalised uncertainty principle
- The Moment Problem
- Paragrassmann algebras as quantum spaces, Part II: Toeplitz Operators
- QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS
- Coherent and Incoherent States of the Radiation Field
- A Reproducing Kernel and Toeplitz Operators in the Quantum Plane
- Paragrassmann Algebras as Quantum Spaces Part I: Reproducing Kernels
This page was built for publication: Coherent states for the Manin plane via Toeplitz quantization