Application of Eigenkets of Bosonic Creation Operator in Deriving Some New Formulas of Associated Laguerre Polynomials  

作　　者：FAN Hong-Yi WANG Tong-Tong 

机构地区：[1]Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China [2]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

出　　处：《Communications in Theoretical Physics》2008年第8期315-320,共6页理论物理通讯（英文版）

基　　金：supported by the Specialized Research Fund for the Doctorial Progress of Higher Education of China under Grant No.20070358009

摘　　要：Using the resolution of unity composed of bosonic creation operator＇s eigenkets and annihilation operator＇s un-normalized eigenket, which is a new quantum mechanical representation in contour integration form, we derive new contour integration expression of associated Laguerre polynomials L^ρm （｜z｜^2） and its generalized generating function formula. A series of recursive relations regarding to L^ρm （｜z｜^2） are also deduced in the context of the Fock representation by algebraic method.

关 键 词：bosonic creation operator Laguerre polynomials contour integration 

分 类 号：O14[理学—数学]