Physics – Quantum Physics
Scientific paper
2006-09-28
Physics
Quantum Physics
no figures, 9 pages
Scientific paper
The spectrum of complex PT-symmetric potential, $V(x)=igx$, is known to be null. We enclose this potential in a hard-box: $V(|x| \ge 1) =\infty $ and in a soft-box: $V(|x|\ge 1)=0$. In the former case, we find real discrete spectrum and the exceptional points of the potential. The asymptotic eigenvalues behave as $E_n \sim n^2.$ The solvable purely imaginary PT-symmetric potentials vanishing asymptotically known so far do not have real discrete spectrum. Our solvable soft-box potential possesses two real negative discrete eigenvalues if $|g|<(1.22330447)$. The soft-box potential turns out to be a scattering potential not possessing reflectionless states.
No associations
LandOfFree
Eigenvalue problems for the complex PT-symmetric potential V(x)= igx 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 Eigenvalue problems for the complex PT-symmetric potential V(x)= igx, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Eigenvalue problems for the complex PT-symmetric potential V(x)= igx will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-532175