A Symbolic-Numeric Approach for Solving the Eigenvalue Problem for the One-Dimensional Schrödinger Equation

Autor:	Sergey I. Vinitsky, I. N. Belyaeva, V. A. Rostovtsev, N. A. Chekanov, Alexander Gusev
Rok vydání:	2006
Předmět:	symbols.namesake Mathematics::Algebraic Geometry Scheme (mathematics) Quartic function Mathematical analysis Anharmonicity symbols Pseudocode Symbolic computation Eigenvalues and eigenvectors Schrödinger's cat Mathematics Schrödinger equation
Zdroj:	Computer Algebra in Scientific Computing ISBN: 9783540451822 CASC
DOI:	10.1007/11870814_2
Popis:	A general scheme of a symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional Shrodinger equation is presented. The corresponding algorithm of the developed program EWA using a conventional pseudocode is described too. With the help of this program the energy spectra and the wave functions for some Schrodinger operators such as quartic, sextic, octic anharmonic oscillators including the quartic oscillator with double well are calculated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c1e9de1a7d4befe1892b170fa5c903f0 https://doi.org/10.1007/11870814_2 Zobrazit plný text záznamu