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Solution of the Schrödinger Wave Equation in a Space‐Time Continuum by a Finite Element Formulation
Author(s) -
Gass N.
Publication year - 1977
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19770570603
Subject(s) - curvilinear coordinates , finite element method , extended finite element method , mixed finite element method , mathematical analysis , mathematics , schrödinger equation , element (criminal law) , space (punctuation) , physics , geometry , computer science , political science , law , thermodynamics , operating system
A finite element formulation for the solution of the complex three dimensional time dependent Schrödinger equation is developed. The governing finite element equations are valid in any orthogonal flat or curvilinear coordinate system. From the general element expressions two specific finite elements are developed and all element matrices are explicitely given.