On the Role of the Subsidiary Condition in Quantum Electrodynamics

F. Coester; J. M. Jauch

doi:10.1103/PhysRev.78.149

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On the Role of the Subsidiary Condition in Quantum Electrodynamics

F. Coester and J. M. Jauch

Department of Physics, State University of Iowa, Iowa City, Iowa

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Phys. Rev. 78, 149 – Published 15 April, 1950Erratum Phys. Rev. 78, 827 (1950)

DOI: https://doi.org/10.1103/PhysRev.78.149

Abstract

The $S$ -matrix in quantum electrodynamics may be calculated alternatively from the Hamiltonian density $- j^{μ} (x) A_{μ} (x)$ and a Hamiltonian in which the Coulomb interaction of the charges and the interaction of the currents with the transverse field are separated. Both procedures are equivalent. Care must be taken, however, to define correctly the initial states, in particular the vacuum state. The definition of the vacuum state in both representations is discussed and the equivalence of the corresponding $S$ -matrices is proven.

Erratum

Erratum: On the Role of the Subsidiary Condition in Quantum Electrodynamics

F. Coester and J. M. Jauch

Phys. Rev. 78, 827 (1950)

References (17)

Koba, Tati, and Tomonaga, Prog. Theor. Phys. 1, 40 (1946) ibid.2, 101 (1947) ibid.2, 198 (1947)
J. Schwinger, Phys. Rev. 74, 1439 (1948) ibid.75, 651 (1949) ibid.76, 790 (1949)
H. A. Bethe, Phys. Rev. 72, 339 (1947) N. M. Kroll and W. E. Lamb, 75, 388 (1949) J. B. French and V. F. Weisskopf, 75, 1240 (1949)
S. Tomonaga, Prog. Theor. Phys. 1, 27 (1946)
Dirac, Fock, and Podolsky, Physik Zeits. Sowjetunion 2, 468 (1932)
F. J. Dyson, Phys. Rev. 75, 492 (1949)
W. Pauli, Rev. Mod. Phys. 13, 211 (1941)
Omitted endnote
Omitted endnote
F. J. Dyson, Phys. Rev. 75, 486 (1949) ibid.75, 1736 (1949) R. P. Feynmann, 76, 769 (1949) ibid.74, 1430 (1948) W. Pauli and F. Villars, Rev. Mod. Phys. 21, 434 (1949)
F. J. Belinfante, Phys. Rev. 76, 226 (1949) Physica 12, 17 (1946) V. A. Fock and B. Podolsky, Physik Zeits. Sowjetunion 1, 801 (1932) ibid.2, 275 (1932) S. T. Ma, Phys. Rev. 75, 535 (1949) Belinfante ( 76, 226 (1949))
F. J. Belinfante, Phys. Rev. 76, 228 (1949)
(Phys. Rev. 76, 391 (1949))
F. J. Dyson, Phys. Rev. 75, 492, 1737 (1949)
A. Houriet and A. Kind, Helv. Phys. Acta 22, 321 (1949)
W. Pauli, Rev. Mod. Phys. 13, 212 (1941)
F. J. Belinfante, Phys. Rev. 76, 228 (1949)

[c1] Koba, Tati, and Tomonaga, Prog. Theor. Phys. 1, 40 (1946) ibid.2, 101 (1947) ibid.2, 198 (1947)

[c2] J. Schwinger, Phys. Rev. 74, 1439 (1948) ibid.75, 651 (1949) ibid.76, 790 (1949)

[c3] H. A. Bethe, Phys. Rev. 72, 339 (1947) N. M. Kroll and W. E. Lamb, 75, 388 (1949) J. B. French and V. F. Weisskopf, 75, 1240 (1949)

[c4] S. Tomonaga, Prog. Theor. Phys. 1, 27 (1946)

[c5] Dirac, Fock, and Podolsky, Physik Zeits. Sowjetunion 2, 468 (1932)

[c6] F. J. Dyson, Phys. Rev. 75, 492 (1949)

[c7] W. Pauli, Rev. Mod. Phys. 13, 211 (1941)

[c8] Omitted endnote

[c9] Omitted endnote

[c10] F. J. Dyson, Phys. Rev. 75, 486 (1949) ibid.75, 1736 (1949) R. P. Feynmann, 76, 769 (1949) ibid.74, 1430 (1948) W. Pauli and F. Villars, Rev. Mod. Phys. 21, 434 (1949)

[c11] F. J. Belinfante, Phys. Rev. 76, 226 (1949) Physica 12, 17 (1946) V. A. Fock and B. Podolsky, Physik Zeits. Sowjetunion 1, 801 (1932) ibid.2, 275 (1932) S. T. Ma, Phys. Rev. 75, 535 (1949) Belinfante ( 76, 226 (1949))

[c12] F. J. Belinfante, Phys. Rev. 76, 228 (1949)

[c13] (Phys. Rev. 76, 391 (1949))

[c14] F. J. Dyson, Phys. Rev. 75, 492, 1737 (1949)

[c15] A. Houriet and A. Kind, Helv. Phys. Acta 22, 321 (1949)

[c16] W. Pauli, Rev. Mod. Phys. 13, 212 (1941)

[c17] F. J. Belinfante, Phys. Rev. 76, 228 (1949)

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On the Role of the Subsidiary Condition in Quantum Electrodynamics

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Erratum: On the Role of the Subsidiary Condition in Quantum Electrodynamics

References (17)

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