Wiener measures for path integrals with affine kinematic variables

DOI10.1063/1.527812zbMath0615.58008OpenAlexW2012898479MaRDI QIDQ4722872

Thierry Paul, Ingrid Daubechies, John R. Klauder

Publication date: 1987

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

Full work available at URL: https://semanticscholar.org/paper/34e8804751f71a75e5fe4daefb6027e595f52990

zbMATH Keywords

path integralWiener integralunitary evolution operatoraffine coherent state matrix element

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Cites Work

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• Integration in Functional Spaces and its Applications in Quantum Physics
• On a Hilbert space of analytic functions and an associated integral transform part I
• Transforms associated to square integrable group representations. I. General results
• Bounds on the eigenvalues of the Laplace and Schroedinger operators
• Mathematical Aspects of the Weyl Correspondence
• Continuous Representation Theory Using the Affine Group