Two-dimensional delta potential wells and condensed-matter physics

Details Two-dimensional delta potential wells and condensed-matter physics Two-dimensional delta potential wells and condensed-matter physics

2003-05-27

arxiv.org/abs/cond-mat/0305631v3

Rev. Mex. de Fis. 51, 626-632 (2005)

Physics

Condensed Matter

Superconductivity

19 pages including 5 figures

Scientific paper

It is well-known that a delta potential well in 1D has only one bound state but that in 3D it supports an {\it infinite} number of bound states with {\it infinite} binding energy for the lowest level. We show how this also holds for the less familiar 2D case, and then discuss why this makes 3D delta potential wells unphysical as models of interparticle interactions for condensed-matter many-body systems. However, both 2D and 3D delta wells can be ``regularized'' to support a single bound level which in turn renders them conveniently simple single-parameter interactions, e.g., for modeling the pair-forming dynamics of quasi-2D superconductors such as the cuprates, or in 3D of other superconductors and of neutral-fermion superfluids such as ultra-cold trapped Fermi gases.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional delta potential wells and condensed-matter physics 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 Two-dimensional delta potential wells and condensed-matter physics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional delta potential wells and condensed-matter physics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648555