Uncertainty and Analyticity

DOI10.1007/978-3-319-12577-0_64zbMath1327.81016arXiv1312.4583OpenAlexW2027273001MaRDI QIDQ2949316

G.V.P.Khmelevskaya

Publication date: 8 October 2015

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4583

zbMATH Keywords

Heisenberg groupobservablesquantum mechanicsclassical mechanicsHeisenberg commutation relations\(\mathrm{SU}(1,1)\)Fock-Segal-Bargmann spaceHrdy space

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Related Items (4)

Solving the Schrödinger equation by reduction to a first-order differential operator through a coherent states transform ⋮ Metamorphism as a covariant transform for the SSR group ⋮ Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group ⋮ Geometric dynamics of a harmonic oscillator, arbitrary minimal uncertainty states and the smallest step 3 nilpotent Lie group

Cites Work

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• Hypercomplex representations of the Heisenberg group and mechanics
• On the structure of Bergman and poly-Bergman spaces
• Coherent states, wavelets and their generalizations
• Erlangen Program at Large: An Overview
• Operator covariant transform and local principle
• Harmonic Analysis in Phase Space. (AM-122)
• p-mechanics as a physical theory: an introduction

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