Recovering Unitarity of Lee Model in Bi-Orthogonal Basis

Details Recovering Unitarity of Lee Model in Bi-Orthogonal Basis Recovering Unitarity of Lee Model in Bi-Orthogonal Basis

2009-05-12

arxiv.org/abs/0905.1771v3

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 5 figures

Scientific paper

We study how to recover the unitarity of Lee model with the help of bi-orthogonal basis approach, when the physical coupling constant in renormalization exceeds its critical value, so that the Lee's Hamiltonian is non-Hermitian with respect to the conventional inner product. In a very natural fashion, our systematic approach based on bi-orthogonal basis leads to an elegant definition of inner product with a non-trivial metric, which can overcome all the previous problems in Lee model, such as non-Hermiticity of the Hamiltonian, the negative norm, the negative probability and the non-unitarity of the scattering matrix.

Affiliated with

Also associated with

No associations

Rating

Recovering Unitarity of Lee Model in Bi-Orthogonal Basis 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 Recovering Unitarity of Lee Model in Bi-Orthogonal Basis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recovering Unitarity of Lee Model in Bi-Orthogonal Basis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-336808