Canonical Transformations and Quantum Mechanics

DOI10.1137/0125024zbMath0266.22011OpenAlexW1975406347MaRDI QIDQ5683004

Marcos Moshinsky

Publication date: 1973

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0125024

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (14)

Classical dynamics from a unitary representation of the Galilei group ⋮ Uncertainty principle for free metaplectic transformation ⋮ Special Fourier integral operators of types I and II with function-variable symbols: definition, relation to metaplectic transform, and Heisenberg's uncertainty principles ⋮ Canonical transforms. II. Complex radial transforms ⋮ Collectivity and geometry. I. General approach ⋮ Fast Algorithms for Digital Computation of Linear Canonical Transforms ⋮ Canonical transformations to action and angle variables and their representations in quantum mechanics ⋮ Dynamical symmetries of rotationally invariant, three-dimensional, Schrödinger equations ⋮ Uncertainty principle of complex-valued functions in specific free metaplectic transformation domains ⋮ Canonical transforms. IV. Hyperbolic transforms: Continuous series of SL(2,R) representations ⋮ Quadratic Hamiltonians in phase space and their eigenstates ⋮ Canonical transformations relating the oscillator and Coulomb problems and their relevance for collective motions ⋮ Uncertainty principle for real functions in free metaplectic transformation domains ⋮ Does accidental degeneracy imply a symmetry group?

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