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

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2008,（8）
• 页码范围: 315-320
• 页数: 6页
• 语种: 英文

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 Lρm(|z|2) and its generalized generating function formula. A series of recursive relations regarding to Lρm(|z|2) are also deduced in the context of the Fock representation by algebraic method.