Abstract
The superselection rule which separates states with integer angular momentum from those with halfinteger angular momentum is proved using only rotational invariance.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Reference
G. C. Wick, A. S. Wightman, and E. P. Wigner, Phys. Rev. 88, 101 (1952).
This theorem is usually attributed to one of the present authors (E. P. W.), but it was probably known to others before. For a more recent proof, see V. Bargmann, J. Math. Phys. 5, 862 (1964).
See E. P. Wigner, J. Math. Phys. 1, 409, 414 (1960).
The demonstration given by Wigner [Ann. Math. 40, 149 (1939), p. 1771 still appears to be the most simple.
J. M. Jauch, Hety. Phys. Acta 33, 711 (1960); J. M. Jauch and B. Misra, ibid. 34, 699 (1961).
J. von Neumann, Mathematische Grundlagen der Quantenmechanik (Julius Springer-Verlag, Berlin, 1932 ) (English transi.: Princeton University Press, Princeton, 1955 ).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Hegerfeldt, G.C., Kraus, K., Wigner, E.P. (1997). Proof of the Fermion Superselection Rule Without the Assumption of Time—Reversal Invariance. In: Wightman, A.S. (eds) Part I: Particles and Fields. Part II: Foundations of Quantum Mechanics. The Scientific Papers, vol A / 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09203-3_24
Download citation
DOI: https://doi.org/10.1007/978-3-662-09203-3_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08179-8
Online ISBN: 978-3-662-09203-3
eBook Packages: Springer Book Archive