Isospectral Hamiltonians from Moyal products

Details Isospectral Hamiltonians from Moyal products Isospectral Hamiltonians from Moyal products

2006-07-22

arxiv.org/abs/quant-ph/0607154v1

Czech. J. Phys. 56 (2006) 899

Physics

Quantum Physics

10 pages, to appear special issue Czech. J. Phys

Scientific paper

10.1007/s10582-006-0386-x

Recently Scholtz and Geyer proposed a very efficient method to compute metric operators for non-Hermitian Hamiltonians from Moyal products. We develop these ideas further and suggest to use a more symmetrical definition for the Moyal products, because they lead to simpler differential equations. In addition, we demonstrate how to use this approach to determine the Hermitian counterpart for a Pseudo-Hermitian Hamiltonian. We illustrate our suggestions with the explicitly solvable example of the -x^4-potential and the ubiquitous harmonic oscillator in a complex cubic potential.

Affiliated with

Also associated with

No associations

Rating

Isospectral Hamiltonians from Moyal products 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 Isospectral Hamiltonians from Moyal products, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isospectral Hamiltonians from Moyal products will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-301142