THE RELATIVISTIC OSCILLATOR ALGEBRA REVISITED IN THE QUANTUM GROUPS FORMALISM

DOI10.1142/S0217751X07038219zbMath1142.81345OpenAlexW2051894616WikidataQ62596849 ScholiaQ62596849MaRDI QIDQ3504059

P. Narayana Swamy, Antonio Maria Scarfone

Publication date: 11 June 2008

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

Full work available at URL: https://doi.org/10.1142/s0217751x07038219

zbMATH Keywords

quantum groups\(q\)-oscillator algebrarelativistic oscillator algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) (S)-matrix theory, etc. in quantum theory (81U20) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (1)

APPROACH OF THE AZIMUTHAL AND MAGNETIC QUANTUM NUMBERS l AND m TO REPRESENTATION OF A CUBIC DEFORMATION OF su(2) ALGEBRA

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Differential calculus on \(ISO_ q(N)\), quantum Poincaré algebra and \(q\)-gravity
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• A simple derivation of the quantum Clebsch–Gordan coefficients for SU(2)q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• Comment on the q-deformed fermionic oscillator
• The many-body problem for q-oscillators
• Example of infinite statistics
• A q-analogue of the supersymmetric oscillator and its q-superalgebra
• Twisted Galilean symmetry and the Pauli principle at low energies
• SPIN AND STATISTICS ON THE GROENEWOLD–MOYAL PLANE: PAULI-FORBIDDEN LEVELS AND TRANSITIONS

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