1203.5478 (Pouria Pedram)

A note on the one-dimensional hydrogen atom with minimal length
uncertainty    [PDF]

Pouria Pedram

We present exact energy spectrum and eigenfunctions of the one-dimensional hydrogen atom in the presence of the minimal length uncertainty. We show that using the recently proposed formally self-adjoint representation, the boundary conditions can be properly imposed which give the correct quantization condition. We indicate that single-valuedness criteria of the eigenfunctions is an emergent condition in low energy regime.

View original: http://arxiv.org/abs/1203.5478