Application of eigenkets of bosonic creation operator in deriving some new formulas of associated Laguerre polynomials

作者：Fan Hong Yi^*; Wang Tong Tong

来源：Communications in Theoretical Physics, 2008, 50(2): 315-320.

• bosonic creation operator
• Laguerre polynomials
• contour integration

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-m(rho)(vertical bar z vertical bar(2)) and its generalized generating function formula. A series of recursive relations regarding to L-m(rho)(vertical bar z vertical bar(2)) are also deduced in the context of the Fock representation by algebraic method.

• 出版日期2008-8-15
• 单位上海交通大学