The two-dimensional hydrogen atom in The momentum representation

Mehdi Hage-Hassan (1)

1 UL - Faculté des Sciences Section (1)

The analytic expression of the momentum representation in terms of the associated Legendre function is determined by a direct integration of Fourier transform of the wave function of coordinates using the Levi-Civita transformation and the generating function method. A new generating function for the associated Legendre functions are obtained.

Mots clés: two-dimensional hydrogen atom; momentum representation; momentum space; Kepler problem

Domaines: Physique mathématique [math-ph]; Physique Quantique [quant-ph]

Mehdi Hage-Hassan. The two-dimensional hydrogen atom in The momentum representation. 2008. ⟨hal-00333701⟩