On a Chaotic Weighted Shift zpdp+1/dzp+1 of Order p in Bargmann Space

This paper is devoted to the study of the chaotic properties of some specific backward shift unbounded operators Hp=A*pAP+1; p=0,1,… realized as differential operators in Bargmann space, where A and A* are the standard Bose annihilation and creation operators such that [A,A*]=I.

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Bibliographic Details
Main Author: Abdelkader Intissar
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2011/471314
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author Abdelkader Intissar
author_facet Abdelkader Intissar
author_sort Abdelkader Intissar
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description This paper is devoted to the study of the chaotic properties of some specific backward shift unbounded operators Hp=A*pAP+1; p=0,1,… realized as differential operators in Bargmann space, where A and A* are the standard Bose annihilation and creation operators such that [A,A*]=I.
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spelling doaj-art-58abd846068040bab89e53e81d6e12712025-02-03T05:48:00ZengWileyAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/471314471314On a Chaotic Weighted Shift zpdp+1/dzp+1 of Order p in Bargmann SpaceAbdelkader Intissar0Equipe d'Analyse Spectrale, Université de Corse, UMR-CNRS No. 6134, Quartier Grossetti, 20 250 Corté, FranceThis paper is devoted to the study of the chaotic properties of some specific backward shift unbounded operators Hp=A*pAP+1; p=0,1,… realized as differential operators in Bargmann space, where A and A* are the standard Bose annihilation and creation operators such that [A,A*]=I.http://dx.doi.org/10.1155/2011/471314
spellingShingle Abdelkader Intissar
On a Chaotic Weighted Shift zpdp+1/dzp+1 of Order p in Bargmann Space
Advances in Mathematical Physics
title On a Chaotic Weighted Shift zpdp+1/dzp+1 of Order p in Bargmann Space
title_full On a Chaotic Weighted Shift zpdp+1/dzp+1 of Order p in Bargmann Space
title_fullStr On a Chaotic Weighted Shift zpdp+1/dzp+1 of Order p in Bargmann Space
title_full_unstemmed On a Chaotic Weighted Shift zpdp+1/dzp+1 of Order p in Bargmann Space
title_short On a Chaotic Weighted Shift zpdp+1/dzp+1 of Order p in Bargmann Space
title_sort on a chaotic weighted shift zpdp 1 dzp 1 of order p in bargmann space
url http://dx.doi.org/10.1155/2011/471314
work_keys_str_mv AT abdelkaderintissar onachaoticweightedshiftzpdp1dzp1oforderpinbargmannspace