Dispersion equation and eigenvalues for quantum wells using spectral parameter power series

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3579991· OSTI ID:21501319

Castillo-Perez, Raul; Oviedo-Galdeano, Hector; Rabinovich, Vladimir S ^[1]; Kravchenko, Vladislav V ^[2]

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1. SEPI, ESIME, National Polytechnic Institute, Av. IPN S/N, C.P. 07738, Mexico City (Mexico)
2. Department of Mathematics, CINVESTAV del IPN, Campus Queretaro, Apartado Postal 1-798, Arteaga 5, Col. Centro, Santiago de Queretaro, Qro., 76001 (Mexico)

We derive a dispersion equation for determining eigenvalues of inhomogeneous quantum wells in terms of spectral parameter power series and apply it for the numerical treatment of eigenvalue problems. The method is algorithmically simple and can be easily implemented using available routines of such environments for scientific computing as MATLAB.

• OSTI ID: 21501319
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 4; Other Information: DOI: 10.1063/1.3579991; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
EIGENFUNCTIONS
EIGENVALUES
POWER SERIES
QUANTUM WELLS
SCHROEDINGER EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
NANOSTRUCTURES
PARTIAL DIFFERENTIAL EQUATIONS
SERIES EXPANSION
WAVE EQUATIONS