Infinite wall in the fractional quantum mechanics

DOI10.1063/5.0026816zbMath1461.81030OpenAlexW3137629567MaRDI QIDQ5859111

Jianping Dong, Ying Lu

Publication date: 15 April 2021

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

Full work available at URL: https://doi.org/10.1063/5.0026816

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Path integrals in quantum mechanics (81S40) Transcendental field extensions (12F20) Fractional partial differential equations (35R11)

Related Items (1)

Existence of stable standing waves for the nonlinear Schrödinger equation with inverse-power potential and combined power-type and Choquard-type nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lévy flights over quantum paths
• Space-time fractional Schrödinger equation with time-independent potentials
• An operational method for solving fractional differential equations with the Caputo derivatives
• Fractional quantum mechanics and Lévy path integrals
• Time fractional quantum mechanics
• Fractals and quantum mechanics
• Green’s functions and energy eigenvalues for delta-perturbed space-fractional quantum systems
• On the consistency of the solutions of the space fractional Schrödinger equation
• Path integrals for potential problems with δ-function perturbation
• The G and H Functions as Symmetrical Fourier Kernels
• Some physical applications of fractional Schrödinger equation
• Generalized fractional Schrödinger equation with space-time fractional derivatives
• Some solutions to the space fractional Schrödinger equation using momentum representation method
• The fundamental solution of the space-time fractional diffusion equation
• Lévy path integrals of particle on circle and some applications
• Lévy Transport in Slab Geometry of Inhomogeneous Media
• Path integrals for boundaries and topological constraints: A white noise functional approach
• Time fractional Schrödinger equation
• The asymptotic behavior of the time fractional Schrödinger equation on Hilbert space
• The Nehari manifold for a class of Schrödinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity
• On the nonlocality of the fractional Schrödinger equation
• The fractional Schrödinger equation for delta potentials
• Ground state solution and nodal solution for fractional nonlinear Schrödinger equation with indefinite potential
• Comment on “On the consistency of solutions of the space fractional Schrödinger equation” [J. Math. Phys. 53, 042105 (2012)]
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Infinite wall in the fractional quantum mechanics