Preprint
Representations of relativistic particles of arbitrary spin in Poincaré, Lorentz, and Euclidean covariant formulations of relativistic quantum mechanics
ArXiv.org
Cornell University
09/25/2018
DOI: 10.48550/arxiv.1809.09717
Abstract
Relativistic treatments of quantum mechanical systems are important for
understanding hadronic structure and dynamics at sub-nucleon distance scales.
Hadronic states in different inertial reference frames are needed to compute
current matrix elements that probe hadronic structure and dynamics.
Relativistic invariance is an important consideration as the resolution of the
probe is increased. Many different treatments of relativistic dynamics are used
in practice, including Poincar\'e covariant methods, Lorentz covariant methods,
Euclidean covariant methods and methods based on quantum fields. Wave functions
are typically matrix elements of interacting relativistic states in a basis of
non-interacting relativistic states. The purpose of this work is to develop the
relation between these different representations of relativistic states that
are used in different applications from a unified point of view, starting with
positive mass irreducible representations of the Poincar\'e group.
Details
- Title: Subtitle
- Representations of relativistic particles of arbitrary spin in Poincaré, Lorentz, and Euclidean covariant formulations of relativistic quantum mechanics
- Creators
- W. N Polyzou
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- Publisher
- Cornell University
- DOI
- 10.48550/arxiv.1809.09717
- ISSN
- 2331-8422
- Number of pages
- 44
- Language
- English
- Date posted
- 09/25/2018
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984442198702771
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