On a Chaotic Weighted Shift 𠑧 ð ‘ ð ‘‘ ð ‘ + ð Ÿ / ð ‘‘ 𠑧 ð ‘ + ð Ÿ of Order ð ‘ in Bargmann Space

Abdelkader Intissar

Advances in Mathematical Physics, 2011, vol. 2011, 1-11

Abstract:

This paper is devoted to the study of the chaotic properties of some specific backward shift unbounded operators ð » ð ‘ = ð ´ âˆ— ð ‘ ð ´ ð ‘ƒ + 1 ; ð ‘ = 0 , 1 , … realized as differential operators in Bargmann space, where ð ´ and ð ´ âˆ— are the standard Bose annihilation and creation operators such that [ ð ´ , ð ´ âˆ— ] = ð ¼ .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:471314

DOI: 10.1155/2011/471314

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