Completeness and geometry of Schrödinger minimum uncertainty states

DOI10.1063/1.530391zbMath0768.22010OpenAlexW2081577868MaRDI QIDQ4697277

Dimitar A. Trifonov

Publication date: 29 June 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530391

zbMATH Keywords

invariant measureshomogeneous spacecoherent statessemidirect productuncertainty states

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30)

Related Items (6)

Generalized intelligent states and squeezing ⋮ Uncertainty relations in quantum optics. Is the photon intelligent? ⋮ On the spin and quasi-spin squeezed states ⋮ Coherence and squeezing in Z₃ -graded spin coherent states ⋮ SU(1, 1) and SU(2) Perelomov number coherent states: algebraic approach for general systems ⋮ Classicality and anticlassicality measures of pure and mixed quantum states

Cites Work

• Riemannian structure on manifolds of quantum states
• Vector coherent state theory of the semidirect sum Lie algebras wsp(2N,R)
• Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,R)
• On generalized coherent states with maximal symmetry for the harmonic oscillator
• A note on coherent state representations of Lie groups
• Coherent and Incoherent States of the Radiation Field

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