Semigroup Representations of the Poincare Group and Relativistic Gamow Vectors

Details Semigroup Representations of the Poincare Group and Relativistic Gamow Vectors Semigroup Representations of the Poincare Group and Relativistic Gamow Vectors

1999-11-09

arxiv.org/abs/hep-th/9911059v1

Phys.Lett.A264:425-433,2000

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, revtex

Scientific paper

10.1016/S0375-9601(99)00829-4

Gamow vectors are generalized eigenvectors (kets) of self-adjoint Hamiltonians with complex eigenvalues $(E_{R}\mp i\Gamma/2)$ describing quasistable states. In the relativistic domain this leads to Poincar\'e semigroup representations which are characterized by spin $j$ and by complex invariant mass square ${\mathsf{s}}={\mathsf{s}}_{R}=(M_{R}-\frac{i}{2}\Gamma_{R})^{2}$. Relativistic Gamow kets have all the properties required to describe relativistic resonances and quasistable particles with resonance mass $M_{R}$ and lifetime $\hbar/\Gamma_{R}$.

Affiliated with

Also associated with

No associations

Rating

Semigroup Representations of the Poincare Group and Relativistic Gamow Vectors 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 Semigroup Representations of the Poincare Group and Relativistic Gamow Vectors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semigroup Representations of the Poincare Group and Relativistic Gamow Vectors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-496031