DAN Yuya    Department   Matsuyama University  Department of Business Administration, Faculty of Business Administration    Position   Professor
Language	English
Publication Date	2011/10
Type
Peer Review	With peer review
Title	A Note on the Relation between Potential Terms and Metric Matrices
Contribution Type
Journal	General Mathematics Notes
Volume, Issue, Pages	6(2),pp.1-11
Details	The purpose of this paper is to introduce representation of kinetic fields in Schrödinger equations and to give the relation between potential terms and metric matrices via general structure of spaces rather than Euclidean spaces. We obtain two results from the point of view in Fourier analysis and pseudodifferential operators. One is the derivation of the potential terms in Schrödinger equations from the representation of kinetic fields by metric matrices in Schrödinger type equation, the other is the derivation the metric matrices in Schrödinger type equation from the potential terms in Schrödinger equation in the one-dimensional Euclidean space.