THE DYNAMICAL NOETHER SYMMETRIES OF A BOSONIC q-OSCILLATOR

DOI10.1142/S0217751X99001640zbMath0938.81012OpenAlexW2103987903MaRDI QIDQ4949032

Tiago J. M. Simões

Publication date: 27 April 2000

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: http://www.wspc.com/journals/ijmpa/14/1422/0219.html

zbMATH Keywords

Biedenharn-Macfarlane \(q\)-oscillatordeformed quantum spectrum generating algebrainfinite Poisson bracket dynamical algebraphase space first integrals

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Hamilton's equations (70H05) Dynamics of a system of particles, including celestial mechanics (70F99) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• Quantum groups: A review
• Deformed field equations
• Experimental limit on the blue shift of the frequency of light implied by a \(q\)-nonlinearity
• q-OSCILLATORS, NON-KÄHLER MANIFOLDS AND CONSTRAINED DYNAMICS
• q-ANALOGUE OF BOSON COMMUTATOR AND THE QUANTUM GROUPS SU_q(2) AND SU_q(1, 1)
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• PHYSICAL NONLINEAR ASPECTS OF CLASSICAL AND QUANTUM q-OSCILLATORS
• OBTAINING DYNAMICAL GROUPS AND QUANTUM DEGREES OF FREEDOM BY USING NOETHER’S THEOREM: THE PLANAR LANDAU SYSTEM
• Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. I. Velocity-dependent mappings of second-order differential equations
• Generalizations of Noether’s Theorem in Classical Mechanics
• Notes on the symmetries of systems of differential equations
• Exactly solvable potentials and quantum algebras
• Realizations of Lie Algebras in Classical Mechanics
• On the inversion of Noether’s theorem in the Lagrangian formalism
• On the inversion of Noether's theorem in the Lagrangian formalism

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