An Elementary Construction on Nonlinear Coherent States Associated to Generalized Bargmann Spaces | Zendy

Abdelkader Intissar | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

An Elementary Construction on Nonlinear Coherent States Associated to Generalized Bargmann Spaces

Author(s) -

Abdelkader Intissar

Publication year - 2010

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2010/357050

Subject(s) - mathematics , linear subspace , hermite polynomials , pure mathematics , space (punctuation) , operator (biology) , generalized function , measure (data warehouse) , nonlinear system , mathematical analysis , philosophy , linguistics , biochemistry , chemistry , physics , repressor , quantum mechanics , database , computer science , transcription factor , gene

Consider the space 2(ℂ,()), where ()=−||2⋀ is theGaussian measure, and its generalized Bargmann subspaces which are the nullkernels of the operator Δ=−2/+(/)−; =0,1,…. In this work, we present an other construction of following the Hermite functionswhich allows us to define a family of generalized Bargmann transform which maps isometrically into 2(ℝ). The generalized coherent states ∣⟩ associated to are constructed and some properties of them are given

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research