NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2014, Vol.17, No.4, pp.381-383

Coulomb Green’s Function in Lobachevsky Space
Yu. Kurochkin and V. Otchik

The Green’s function of the Schrödinger equation with the Coulomb potential in the space of constant negative curvature is constructed in the form of an eigenfunction expansion. The closed form expression for this function is also presented.


Key words: Green’s function, Lobachevsky space, Schrödinger equation, Kepler–Coulomb problem

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