Green's function for a Schroedinger operator and some related summation formulas

Details Green's function for a Schroedinger operator and some related summation formulas Green's function for a Schroedinger operator and some related summation formulas

2005-05-26

arxiv.org/abs/math-ph/0505070v1

J. Math. Phys. 46, 073512 (2005)

Physics

Mathematical Physics

14 pages

Scientific paper

10.1063/1.1952581

Summation formulas are obtained for products of associated Lagurre polynomials by means of the Green's function K for the Hamiltonian H = -{d^2\over dx^2} + x^2 + Ax^{-2}, A > 0. K is constructed by an application of a Mercer type theorem that arises in connection with integral equations. The new approach introduced in this paper may be useful for the construction of wider classes of generating function.

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