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

DOI10.1063/1.3579991zbMath1316.81023OpenAlexW2073866667MaRDI QIDQ5263595

Raúl Castillo-Pérez, H. Oviedo-Galdeano, Vladislav V. Kravchenko, Vladimir S. Rabinovich

Publication date: 17 July 2015

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

Full work available at URL: https://doi.org/10.1063/1.3579991

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (18)

Complete systems of recursive integrals and Taylor series for solutions of Sturm-Liouville equations ⋮ Asymptotic and numerical analysis of slowly varying two-dimensional quantum waveguides ⋮ Eigenvalue problems, spectral parameter power series, and modern applications ⋮ Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean ⋮ Spectral parameter power series method for discontinuous coefficients ⋮ Analytic approximation of transmutation operators and related systems of functions ⋮ Spectral parameter power series for perturbed Bessel equations ⋮ Professor Vladislav V. Kravchenko: a mathematician and a friend ⋮ Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems ⋮ Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions ⋮ Transmutations and Spectral Parameter Power Series in Eigenvalue Problems ⋮ On the essential spectrum of quantum waveguides ⋮ Construction of transmutation operators and hyperbolic pseudoanalytic functions ⋮ Effective methods of estimates of acoustic fields in the ocean generated by moving sources ⋮ Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems ⋮ The heat transfer problem for inhomogeneous materials in photoacoustic applications and spectral parameter power series ⋮ Spectral parameter power series for fourth-order Sturm-Liouville problems ⋮ Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series

Uses Software

• Matlab

Cites Work

• Spectral parameter power series representation for Hill's discriminant
• A representation for solutions of the Sturm–Liouville equation
• Applied Pseudoanalytic Function Theory
• Square-well representations for potentials in quantum mechanics
• Spectral parameter power series for Sturm–Liouville problems
• Slot Coupling of Rectangular and Spherical Wave Guides
• Acoustic field generated by moving sources in stratified waveguides.
• Unnamed Item

This page was built for publication: Dispersion equation and eigenvalues for quantum wells using spectral parameter power series