On the calculation of electron atom collision processes using exterior complex dilatedS-matrix expansions

Autor:	Nils Elander, P Krylstedt, Robert D. Cowan, Christina Carlsund
Rok vydání:	1990
Předmět:	Physics Shape resonance Electron Condensed Matter Physics Collision Atomic and Molecular Physics and Optics Schrödinger equation symbols.namesake Classical mechanics symbols Partition (number theory) Scattering theory Mathematical Physics Eigenvalues and eigenvectors S-matrix
Zdroj:	Physica Scripta. 42:293-298
ISSN:	1402-4896 0031-8949
DOI:	10.1088/0031-8949/42/3/007
Popis:	Our work on analytically continued scattering theory based on the Schrodinger equation is reviewed. We give a brief description of how resonances, here defined as partial wave S-matrix poles, can be calculated as complex eigenvalues to the complex scaled Schrodinger equation. A Mittag-Leffler type expansion is then introduced and it is shown how one can partition a scattering cross section into contributions from isolated S-matrix poles and a background. Computationally this method has proven to be considerably faster than conventional methods. A new, faster and more accurate integration method is used. Examples of detailed previous work as well as current research are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6f6a53e8f11324c712d8f302c0d88b99 https://doi.org/10.1088/0031-8949/42/3/007 Zobrazit plný text záznamu