Golden quantum oscillator and Binet–Fibonacci calculus

DOI10.1088/1751-8113/45/1/015303zbMath1235.81091arXiv1107.4389OpenAlexW2044904766MaRDI QIDQ3118751

Sengul Nalci, Oktay K. Pashaev

Publication date: 5 March 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4389

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

Q-shock soliton evolution ⋮ Quantum calculus of Fibonacci divisors and infinite hierarchy of Bosonic–Fermionic Golden quantum oscillators ⋮ Quantum coin flipping, qubit measurement, and generalized Fibonacci numbers

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