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Phys. Rev. 94, 192–195 (1954)

Quantized Space-Time

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Emil J. Hellund and Katsumi Tanaka
Argonne National Laboratory, Lemont, Illinois

Received 21 August 1953; revised 6 January 1954; published in the issue dated April 1954

The operators and commutators of the space-time coordinates and momenta in quantized space-time are formulated. Then the eigenfunctions and eigenvalues of the space-time operators are found. Finally, the time spectrum of the plane-wave solution of the Dirac equation is determined and a convergent perturbation analysis is proposed.

© 1954 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRev.94.192
DOI:
10.1103/PhysRev.94.192
PACS: