The fractional Schrödinger operator and Toeplitz matrices

DOI10.1063/1.3237146zbMath1283.81060arXiv0910.5829OpenAlexW2122295598MaRDI QIDQ3583663

Agapitos N. Hatzinikitas

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0910.5829

zbMATH Keywords

quantum theorySchrödinger equationboundary-value problemsToeplitz matriceseigenvalues and eigenfunctions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional derivatives and integrals (26A33) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Additive difference equations (39A10)

Related Items (1)

Solving 3D fractional Schrödinger systems on the basis of Phragmén-Lindelöf methods

Cites Work

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• Solution of band matrix equations by projection-recurrence
• Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
• One-dimensional stable probability density functions for rational index \(0<\alpha \leqslant 2\)
• Fractals and quantum mechanics
• Some physical applications of fractional Schrödinger equation
• Stochastic Problems in Physics and Astronomy

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