The geometry of coherent states

DOI10.1063/1.532716zbMath0986.81038OpenAlexW2147307986MaRDI QIDQ4701876

Lane P. Hughston, Timothy R. Field

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532716

zbMATH Keywords

coherent statesKähler geometrystate spaceFubini-Study metricboson fieldscomplex algebraic geometrycomplex projective linestransversal intersection propertyrelativistic quantum fieldinfinite-dimensional complex projective spaceintrinsic geodesic distanceprojective Fock spacesingle-particle Hilbert space

Mathematics Subject Classification ID

Coherent states (81R30) Applications of analytic spaces to physics and other areas of science (32C81)

Related Items (12)

Coherent states and duality ⋮ DETECTION OF THE SPATIAL CURVATURE EFFECTS THROUGH PHYSICAL PHENOMENA: THE NONLINEAR COHERENT STATES APPROACH ⋮ Quantum diffusion on manifolds ⋮ Duality, Quantum Mechanics and (Almost) Complex Manifolds ⋮ Geometric quantum mechanics ⋮ TRICOMI COHERENT STATES ⋮ Geometric phases and coherent states ⋮ Quantum mechanics of Klein-Gordon fields. II: Relativistic coherent states ⋮ Statistical aspects of coherent states of the Higgs algebra ⋮ Coherent states in noncommutative quantum mechanics ⋮ Aspects of coherent states of nonlinear algebras ⋮ Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties

Cites Work

• A geometrical approach to external potential problems in quantum field theory
• Typical states and density matrices
• Coherent states for arbitrary Lie group
• Geometry of stochastic state vector reduction
• Quantum mechanics as an infinite-dimensional Hamiltonian system with uncertainty structure: Part I
• The Kähler structure of asymptotic twistor space
• COHERENT STATES AND KAHLER MANIFOLDS
• Primary state diffusion
• Geometry of quantum evolution
• Geometry of Quantum Statistical Inference
• Coherent and Incoherent States of the Radiation Field
• Geometrization of quantum mechanics

This page was built for publication: The geometry of coherent states