Existence of Bound States in Continuous 0<D<\infty Dimensions

Details Existence of Bound States in Continuous 0<D<\infty Dimensions Existence of Bound States in Continuous 0<D<\infty Dimensions

2001-06-25

arxiv.org/abs/hep-th/0106233v2

Phys.Lett. A293 (2002) 10-16

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 5 figures. Section added on square-well volcanos in arbitrary dimensions

Scientific paper

10.1016/S0375-9601(01)00827-1

In modern fundamental theories there is consideration of higher dimensions, often in the context of what can be written as a Schr\"odinger equation. Thus, the energetics of bound states in different dimensions is of interest. By considering the quantum square well in continuous $D$ dimensions, it is shown that there is always a bound state for $02, a finite-sized well is always needed for there to be a bound state. This size grows like D^2 as D gets large. By adding the proper angular momentum tail a volcano, zero-energy, bound state can be obtained.

Affiliated with

Also associated with

No associations

Rating

Existence of Bound States in Continuous 0<D<\infty Dimensions 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 Existence of Bound States in Continuous 0<D<\infty Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence of Bound States in Continuous 0<D<\infty Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194210