Fractal position spectrum for a class of oscillators

DOI10.1088/1751-8113/48/40/405301zbMath1326.81077arXiv1504.06330OpenAlexW803662525MaRDI QIDQ3447678

E. Rivera-Mociños, Emerson Sadurní

Publication date: 27 October 2015

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

Full work available at URL: https://arxiv.org/abs/1504.06330

zbMATH Keywords

spectral theoryHofstadter butterfly\(f\)-deformed oscillator

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fractals (28A80)

Related Items (1)

Dynamical symmetry in a minimal dimeric complex

Cites Work

• Opening gaps in the spectrum of strictly ergodic Schrödinger operators
• On the measure of the spectrum for the almost Mathieu operator
• Difference analogs of the harmonic oscillator
• Experimental limit on the blue shift of the frequency of light implied by a \(q\)-nonlinearity
• PHYSICAL NONLINEAR ASPECTS OF CLASSICAL AND QUANTUM q-OSCILLATORS
• A reformulation of the Born-Infeld electrodynamics
• Foundations of the new field theory

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