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

Details A note on the one-dimensional hydrogen atom with minimal length uncertainty A note on the one-dimensional hydrogen atom with minimal length uncertainty

2012-03-25

arxiv.org/abs/1203.5478v2

Physics

Quantum Physics

12 pages

Scientific paper

We present exact energy spectrum and eigenfunctions of the one-dimensional hydrogen atom in the presence of the minimal length uncertainty. By requiring the self-adjointness property of the Hamiltonian, we completely determine the quantization condition. We indicate that the single-valuedness criteria of the eigenfunctions in non-deformed case is an emergent condition and the semiclassical solutions exactly coincide with the quantum mechanical results. The behavior of the wave functions at the origin in coordinate space and in quasiposition space is discussed finally.

Affiliated with

Also associated with

No associations

Rating

A note on the one-dimensional hydrogen atom with minimal length uncertainty does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A note on the one-dimensional hydrogen atom with minimal length uncertainty, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on the one-dimensional hydrogen atom with minimal length uncertainty will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-74940