On the Representation of Intermediate States in the Velocity Basis

Details On the Representation of Intermediate States in the Velocity Basis On the Representation of Intermediate States in the Velocity Basis

2002-11-12

arxiv.org/abs/hep-th/0211099v2

Physics

High Energy Physics

High Energy Physics - Theory

Major revision

Scientific paper

Unstable state furnishes a semigroup irreducible representation of the Poincar\'e group. The state vector is represented by a superposition of energy eigenkets. As a consequence of this superposition, the state vector can be transformed into the rest frame through {\it a} Lorentz transformation only when the eigenkets are labeled by velocity variable, but not momentum variable. We also clarify the meaning of the velocity variable in the state vector with respect to the velocity derived from kinematical consideration of the scattering process.

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