Small-$ε$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H=p^2+x^2(ix)^ε$

Details Small-$ε$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H=p^2+x^2(ix)^ε$ Small-$ε$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H=p^2+x^2(ix)^ε$

2009-06-06

arxiv.org/abs/0906.1291v1

J.Phys.A42:355301,2009

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure

Scientific paper

10.1088/1751-8113/42/35/355301

The energy eigenvalues of the class of non-Hermitian PT-symmetric Hamiltonians $H=p^2+x^2(ix)^\epsilon$ ($\epsilon\geq0$) are real, positive, and discrete. The behavior of these eigenvalues has been studied perturbatively for small $\epsilon$. However, until now no other features of $H$ have been examined perturbatively. In this paper the small-$\epsilon$ expansion of the C operator and the equivalent isospectral Dirac-Hermitian Hamiltonian $h$ are derived.

Affiliated with

Also associated with

No associations

Rating

Small-$ε$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H=p^2+x^2(ix)^ε$ 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 Small-$ε$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H=p^2+x^2(ix)^ε$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Small-$ε$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H=p^2+x^2(ix)^ε$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-62210