The transition of energy and bound states in the continuum of fractional Schrödinger equation in gravitational field and the effect of the minimal length

DOI10.1016/j.cnsns.2018.05.002zbMath1450.81038OpenAlexW2803923155WikidataQ57551966 ScholiaQ57551966MaRDI QIDQ2206104

Bo Yang, Chaozhen Wei, Xiao Zhang, Mao-Kang Luo

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2018.05.002

zbMATH Keywords

minimal lengthfractional Schrödinger equationbound states in continuumEarth's gravitational field

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Gravitational interaction in quantum theory (81V17) Quantum stochastic calculus (81S25) Noncommutative geometry in quantum theory (81R60) Fractional partial differential equations (35R11)

Related Items

Bounded solution structure of Schrödinger equation in the presence of the minimal length and its effect: bound states in the continuum are universal, The geometrization of quantum mechanics, the nonlinear Klein-Gordon equation, Finsler gravity and phase spaces, Quantization method and Schrödinger equation of fractional time and their weak effects on Hamiltonian: phase transitions of energy and wave functions, Zero-energy bound state decay for non-local Schrödinger operators

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