Relativistic Partial Wave Analysis Using the Velocity Basis of the Poincare Group
A. Bohm, H. Kaldass
TL;DR
This paper introduces a method for relativistic partial wave analysis utilizing the velocity basis of the Poincare group, enabling the definition of relativistic Gamow vectors in a consistent framework.
Contribution
It develops a novel approach using the velocity basis of the Poincare group for relativistic partial wave analysis and the construction of Gamow vectors.
Findings
Provides a new framework for relativistic partial wave analysis.
Defines relativistic Gamow vectors using the velocity basis.
Enhances the mathematical tools for relativistic quantum mechanics.
Abstract
The velocity basis of the Poincare group is used in the direct product space of two irreducible unitary representations of the Poincare group. The velocity basis with total angular momentum j will be used for the definition of relativistic Gamow vectors.
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