Exact Finite Differences. The Derivative on Non Uniformly Spaced Partitions

We define a finite-differences derivative operation, on a non uniformly spaced partition, which has the exponential function as an exact eigenvector. We discuss some properties of this operator and we propose a definition for the components of a finite-differences momentum operator. This allows us t...

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Bibliographic Details
Main Authors: Armando Martínez-Pérez, Gabino Torres-Vega
Format: Article
Language:English
Published: MDPI AG 2017-10-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/9/10/217