Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass

DOI10.1063/1.1641151zbMath1070.81042OpenAlexW2005769030MaRDI QIDQ4833311

Shih-Feng Shieh, Wen-Wei Lin

Publication date: 15 December 2004

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

Full work available at URL: https://semanticscholar.org/paper/497769284f644ce155a95aa29335bfa9cf6848ff

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

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Cites Work

• Eigenvalue ratios for Sturm--Liouville operators
• Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials
• Eigenvalue Problems for One-Dimensional Discrete Schrödinger Operators with Symmetric Boundary Conditions
• Some Modified Matrix Eigenvalue Problems
• Electron energy level calculations for cylindrical narrow gap semiconductor quantum dot