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Author Burdet, G. ♦ Perrin, M.
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword Physics (Theoretical)-General ♦ Physics (High Energy)-Particle Invariance Principles & Symmetry-General ♦ LIE GROUPS- ALGEBRA ♦ SCHROEDINGER PICTURE- QUANTUM OPERATORS ♦ CANONICAL TRANSFORMATIONS ♦ HAMILTONIANS ♦ HARMONIC OSCILLATORS ♦ SP GROUPS ♦ TIME DEPENDENCE ♦ TWO-DIMENSIONAL CALCULATIONS
Abstract The one-element central extension of the Lie algebra of the group of real inhomogeneous linear canonical transformations of phase space is interpreted as a time-dependent invariance algebra in the Schroedinger picture. By limiting to a two-dimensional space quantum system one can exhibit all the nonconjugate Hamiltonians contained in the symplectic algebra which, in the Heisenberg picture, plays the role of dynamical algebra and contains several known degeneracy and spectrum-generating algebras. (3 figures, 2 tables) (auth)
Educational Use Research
Learning Resource Type Article
Publisher Date 1975-08-01
Publisher Department Centre National de la Recherche Scientifique, Marseille
Publisher Place United States
Journal J. Math. Phys.
Organization Centre National de la Recherche Scientifique, Marseille


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