Efficient integration of the one‐dimensional time independent wave equation for bound states and for wave propagation

Autor:	Andrzej A. Skorupski
Rok vydání:	1988
Předmět:	Formalism (philosophy of mathematics) Wave propagation Bound state Mathematical analysis Statistical and Nonlinear Physics Wave equation Mathematical Physics Mathematics
Zdroj:	Journal of Mathematical Physics. 29:1824-1831
ISSN:	1089-7658 0022-2488
Popis:	The wave equation is solved with the phase‐integral approximation in the asymptotic regions, and integrated numerically elsewhere. In this application the phase‐integral approximation is relatively simple in higher orders, and its accuracy can be precisely controlled with the derived error estimates. For the bound states the analytical formulas defining the termination error in the wave function are derived. For the wave propagation an efficient formalism is given for calculating the reflection, transmission, and absorption coefficients.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fbfdec0a16be5a085fe887bbc8447a93 https://doi.org/10.1063/1.527884 Zobrazit plný text záznamu