Nonlinear quantum mechanics in a \(q\)-deformed Hilbert space

DOI10.1016/j.physleta.2019.05.056zbMath1476.81034OpenAlexW2948035555WikidataQ127757174 ScholiaQ127757174MaRDI QIDQ2231970

Ernesto P. Borges, Bruno G. da Costa

Publication date: 30 September 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2019.05.056

zbMATH Keywords

nonlinear Schrödinger equationquantum decoherencenonextensive thermostatistics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Spinor and twistor methods applied to problems in quantum theory (81R25) Statistical thermodynamics (82B30) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (4)

Dynamical manifestation of chaotic behaviour in a q-Tsallis harmonic oscillator ⋮ Algebraic structures and position-dependent mass Schrödinger equation from group entropy theory ⋮ Lorentzian solitary wave in a generalised nonlinear Schrödinger equation ⋮ Generalized nonlinear Schrödinger equation: Conservation of energy and solitary-wave solutions

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