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On the integrability of \(q\)-oscillators based on invariants of discrete Fourier transforms

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Publication:1372953
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DOI10.1023/A:1007378122623zbMath0884.33011MaRDI QIDQ1372953

Myriam Witt, Andreas Ruffing

Publication date: 22 March 1998

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


zbMATH Keywords

\(q\)-commuting Heisenberg relations


Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)


Related Items (4)

Difference ladder operators for a harmonic Schrödinger oscillator using unitary linear lattices ⋮ Oscillatory difference equations and moment problems ⋮ Nonautonomous oscillators and coefficient evaluation for orthogonal function systems ⋮ APPROACH OF THE AZIMUTHAL AND MAGNETIC QUANTUM NUMBERS l AND m TO REPRESENTATION OF A CUBIC DEFORMATION OF su(2) ALGEBRA






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