ON THE UNCERTAINTY CONSTANTS FOR LINEAR COMBINATION OF SOME SUBSYSTEMS OF COHERENT STATES



Cite item

Full Text

Abstract

Uncertainty constants for coherent states obtain irreduciable value. But problems of interpolation and orthogonalization requires the original system of functions to move to linear combinations. Localization of linear combinations of coherent states subsystems which have been set on a rectangular lattice are studied. Formulas for uncertainty constants of these combinations in general case and at additional assumptions on coefficients are received. Formulas for uncertainty constants of linear combinations of uniform shifts of Gauss function in general case and at additional assumptions on coefficients are received. Results of numerical calculations are given for the interpolating scaling functions constructed for uniform shifts of Gauss function

About the authors

M.V. Zhuravlev

Voronezh State University

Author for correspondence.
Email: morenov.sv@ssau.ru

I.Ya. Novikov

Voronezh State University

Email: morenov.sv@ssau.ru

S.N. Ushakov

Voronezh State University

Email: morenov.sv@ssau.ru

References

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2014 Zhuravlev M., Novikov I., Ushakov S.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies