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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Format: | Article |
Language: | English |
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Wiley
2011-01-01
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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 |
collection | DOAJ |
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. |
format | Article |
id | doaj-art-58abd846068040bab89e53e81d6e1271 |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2011-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
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 |