Conservation of Momentum and Angular Momentum in Relativistic Classical Particle Mechanics

D. G. Currie; T. F. Jordan

doi:10.1103/PhysRev.167.1178

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Conservation of Momentum and Angular Momentum in Relativistic Classical Particle Mechanics

D. G. Currie^*,†

T. F. Jordan^‡

Department of Physics, Northeastern University, Boston, Massachusetts and Department of Physics and Astronomy, University of Maryland, College Park, Maryland

Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania

^*Supported in part by the U. S. Air Force Office of Scientific Research Contract No. AF-AFOSR-664-64.
^†Present address.
^‡Alfred P. Sloan Research Fellow. Supported in part by the U. S. Atomic Energy Commission under Contract No. AT(30-1)-3829.

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Phys. Rev. 167, 1178 – Published 25 March, 1968

DOI: https://doi.org/10.1103/PhysRev.167.1178

Abstract

For a classical-mechanical system of two particles, the conditions for Lorentz-invariant equations of motion are expressed in terms of relativistic momentum variables, and are shown to imply that neither the conventional total kinematic particle momentum nor the conventional total kinematic particle angular momentum is a constant of the motion unless the accelerations are zero. This is compared with a theorem of Van Dam and Wigner.

References (8)

D. G. Currie, Phys. Rev. 142, 817 (1966)
R. N. Hill, J. Math. Phys. 8, 201 (1967)
D. G. Currie (to be published)
D. G. Currie and T. F. Jordan, 1967 Summer Institute for Theoretical Physics, University of Colorado (to be published)
Omitted endnote
D. G. Currie and T. F. Jordan, Phys. Rev. Letters 16, 1210 (1966)
H. Van Dam and E. P. Wigner, Phys. Rev. 142, 838 (1966)
H. Van Dam and E. P. Wigner, Phys. Rev. 138, B1576 (1965)

[c1] D. G. Currie, Phys. Rev. 142, 817 (1966)

[c2] R. N. Hill, J. Math. Phys. 8, 201 (1967)

[c3] D. G. Currie (to be published)

[c4] D. G. Currie and T. F. Jordan, 1967 Summer Institute for Theoretical Physics, University of Colorado (to be published)

[c5] Omitted endnote

[c6] D. G. Currie and T. F. Jordan, Phys. Rev. Letters 16, 1210 (1966)

[c7] H. Van Dam and E. P. Wigner, Phys. Rev. 142, 838 (1966)

[c8] H. Van Dam and E. P. Wigner, Phys. Rev. 138, B1576 (1965)

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Conservation of Momentum and Angular Momentum in Relativistic Classical Particle Mechanics

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References (8)

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