Non-Hermitian quantum mechanics in non-commutative space

Details Non-Hermitian quantum mechanics in non-commutative space Non-Hermitian quantum mechanics in non-commutative space

2008-06-16

arxiv.org/abs/0806.2564v2

Eur.Phys.J.C60:157-161,2009

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, revised version

Scientific paper

10.1140/epjc/s10052-009-0866-9

We study non Hermitian quantum systems in noncommutative space as well as a \cal{PT}-symmetric deformation of this space. Specifically, a \mathcal{PT}-symmetric harmonic oscillator together with iC(x_1+x_2) interaction is discussed in this space and solutions are obtained. It is shown that in the \cal{PT} deformed noncommutative space the Hamiltonian may or may not possess real eigenvalues depending on the choice of the noncommutative parameters. However, it is shown that in standard noncommutative space, the iC(x_1+x_2) interaction generates only real eigenvalues despite the fact that the Hamiltonian is not \mathcal{PT}-symmetric. A complex interacting anisotropic oscillator system has also been discussed.

Affiliated with

Also associated with

No associations

Rating

Non-Hermitian quantum mechanics in non-commutative space 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 Non-Hermitian quantum mechanics in non-commutative space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Hermitian quantum mechanics in non-commutative space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-91937