PT-Invariance and Indefinite Metric

Details PT-Invariance and Indefinite Metric PT-Invariance and Indefinite Metric

2009-10-27

arxiv.org/abs/0910.5017v1

Physics

Mathematical Physics

Scientific paper

A new proof is given for why the non-Hermitian, PT-Invariant cubic oscillator with imaginary coupling has real eigenvalues. The proof consists of two steps. In the first step, it is shown that for many PT-Invariant Hamiltonians, one can define corresponding Hermitian Hamiltonians that have the same eigenvalues when quantized using indefinite metric. The second step is to show that the indefinite-metric eigenvalues of the Hermitian cubic oscillator are real since the norms of its eigenstates do not vanish. The correspondence between PT-Invariant Hamiltonians and indefinite-metric Hermitian Hamiltonians is further discussed as a way to determine vacuum stability for certain supersymmetric gauge theories.

Affiliated with

Also associated with

No associations

Rating

PT-Invariance and Indefinite Metric 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 PT-Invariance and Indefinite Metric, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and PT-Invariance and Indefinite Metric will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-481812