• Corpus ID: 11910756

Manifestly Covariant Approach to Bargmann-Wigner Fields (I): Generalized scalar products and Wigner states

@article{Czachor1996ManifestlyCA,
  title={Manifestly Covariant Approach to Bargmann-Wigner Fields (I): Generalized scalar products and Wigner states},
  author={Marek Czachor},
  journal={arXiv: Quantum Physics},
  year={1996}
}
  • M. Czachor
  • Published 16 January 1996
  • Physics
  • arXiv: Quantum Physics
Manifestly covariant formalism for Bargmann-Wigner fields is developed. It is shown that there exists some freedom in the choice of the form of the Bargmann-Wigner scalar product: The general product depends implicitly on a family of world-vectors. The standard choice of the product corresponds to timelike and equal vectors which define a ``time" direction. The generalized form shows that formulas are simpler if one chooses {\it null\/} directions. This freedom is used to derive simple… 
1 Citations
Manifestly Covariant Approach to Bargmann-Wigner Fields (II): From spin-frames to Bargmann-Wigner spinors
The Bargmann-Wigner (BW) scalar product is a particular case of a larger class of scalar products parametrized by a family of world-vectors. The choice of null and $p$-dependent world-vectors leads

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1 — The wave functions, ψ, describing the possible states of a quantum mechanical system form a linear vector space V which, in general,. is infinite dimensional and on which a positive definite
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