# Group Theoretical Discussion of Relativistic Wave Equations.

@article{Bargmann1948GroupTD, title={Group Theoretical Discussion of Relativistic Wave Equations.}, author={Valentine Bargmann and Eugene Paul Wigner}, journal={Proceedings of the National Academy of Sciences of the United States of America}, year={1948}, volume={34 5}, pages={ 211-23 } }

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 inner product (φ, ψ) is defined for any two wave functions φ and ψ (i.e., they form a Hilbert space). The inner product usually involves an integration over the whole configuration or momentum space and, for particles of higher spin, a summation over the spin indices.

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