Continuous and discrete frames generated by the evolution flow of the Schrödinger equation-Reference-Cited by-同舟云学术

Continuous and discrete frames generated by the evolution flow of the Schrödinger equation

Published:2017-08-02 Issue:06 Volume:15 Page:915-937
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Alberti Giovanni S.¹,Dahlke Stephan²,De Mari Filippo¹,De Vito Ernesto¹,Vigogna Stefano³

Affiliation:

1. Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, Genova, Italy

2. FB12 Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein Straße, Lahnberge, 35032 Marburg, Germany

3. Department of Mathematics, Johns Hopkins University, 3400 N Charles St, 21218 Baltimore MD, USA

Abstract

We study a family of coherent states, called Schrödingerlets, both in the continuous and discrete setting. They are defined in terms of the Schrödinger equation of a free quantum particle and some of its invariant transformations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021953051750004X

Reference22 articles.

1. Reproducing Subgroups of $Sp(2,\mathbb{R})$ . Part I: Algebraic Classification

2. Reproducing subgroups of $$Sp(2,\mathbb R )$$ S p ( 2 , R ) . Part II: admissible vectors

3. Coherent States, Wavelets, and Their Generalizations

4. An Introduction to Frames and Riesz Bases

5. Sampling in reproducing kernel Banach spaces on Lie groups

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