An Elementary Construction on Nonlinear Coherent States Associated to Generalized Bargmann Spaces
Consider the space 𝐿2(ℂ,𝑑𝜇(𝑧)), where 𝑑𝜇(𝑧)=𝑒−|𝑧|2⋀𝑑𝑑𝑧𝑧 is the Gaussian measure, and its generalized Bargmann subspaces 𝐸𝑚 which are the null kernels of the operator Δ=−𝜕2/𝜕𝑧𝜕𝑧+𝑧(𝜕/𝜕𝑧)−𝑚𝐼; 𝑚=0,1,…. In this work, we present an other construction of 𝐸𝑚 following the Hermite functions which all...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/357050 |
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