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arXiv · hep-th/9911059

Semigroup Representations of the Poincare Group and Relativistic Gamow Vectors

A. Bohm·H. Kaldass·S. Wickramasekara·P. Kielanowski
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Abstract

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

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A. Bohm, H. Kaldass, S. Wickramasekara, P. Kielanowski. 1999-11-09. Semigroup Representations of the Poincare Group and Relativistic Gamow Vectors. https://doi.org/10.1016/s0375-9601(99)00829-4

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