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The Connection Between Spin and Statistics
Abstract
In the following paper we conclude for the relativistically invariant wave equation for free particles: From postulate (I), according to which the energy must be positive, the necessity of Fermi-Dirac statistics for particles with arbitrary half-integral spin; from postulate (II), according to which observables on different space-time points with a space-like distance are commutable, the necessity of Einstein-Bose statistics for particles with arbitrary integral spin. It has been found useful to divide the quantities which are irreducible against Lorentz transformations into four symmetry classes which have a commutable multiplication like $+1,\ensuremath{-}1,+\ensuremath{\epsilon},\ensuremath{-}\ensuremath{\epsilon}$ with ${\ensuremath{\epsilon}}^{2}=1$.
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Citations
Cited by
Weinberg, S. (1964) · Physical Review · doi:10.1103/physrev.133.b1318 · Cited by 754
Stability, causality, and Lorentz and CPT violation
Kostelecký, V. A., & Lehnert, R. (2001) · Physical Review D · doi:10.1103/physrevd.63.065008 · Cited by 527
Lüders, G. (1957) · Annals of Physics · doi:10.1016/0003-4916(57)90032-5 · Cited by 384
Kavokin, A. V., Baumberg, J. J., Malpuech, G., & Laussy, F. P. (2017) · doi:10.1093/oso/9780198782995.001.0001 · Cited by 326
Emulation of a Quantum Spin with a Superconducting Phase Qudit
Neeley, M., Ansmann, M., Bialczak, R. C., Hofheinz, M., Lucero, E., O'Connell, A. D., Sank, D., Wang, H., Wenner, J., Cleland, A. N., et al. (2009) · Science · doi:10.1126/science.1173440 · Cited by 304
Metadata
- Authors
- Pauli, W.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1940-10-15
- Volume
- 58
- Issue
- 8
- Pages
- 716-722
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2095412490
- Cited by
- 804
- References
- 0
- FWCI
- 4.69
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pauli, W. (1940). The Connection Between Spin and Statistics. Physical Review. https://doi.org/10.1103/physrev.58.716
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