Upper limit on the number of bound states of the spinless Salpeter equation

Details Upper limit on the number of bound states of the spinless Salpeter equation Upper limit on the number of bound states of the spinless Salpeter equation

2004-01-12

arxiv.org/abs/math-ph/0401022v1

Phys. Lett. A313, 363 (2003)

Physics

Mathematical Physics

18 pages

Scientific paper

We obtain, using the Birman-Schwinger method, upper limits on the total number of bound states and on the number of $\ell$-wave bound states of the semirelativistic spinless Salpeter equation. We also obtain a simple condition, in the ultrarelativistic case ($m=0$), for the existence of at least one $\ell$-wave bound states: $C(\ell,p/(p-1))$ $\int_0^{\infty}dr r^{p-1} |V^-(r)|^p\ge 1$, where $C(\ell,p/(p-1))$ is a known function of $\ell$ and $p>1$.

Affiliated with

Also associated with

No associations

Rating

Upper limit on the number of bound states of the spinless Salpeter equation 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 Upper limit on the number of bound states of the spinless Salpeter equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Upper limit on the number of bound states of the spinless Salpeter equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-373460