Connection between the energy-momentum vector and the canonical momentum in relativistic mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 3, pp. 333-337

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Relativistic mechanics is regarded as a limiting case of a mechanics with four independent canonical momenta $p_i$. It is shown that creation and annihilation of particles is possible in this limiting case. A connection is established between the energy-momentum vector of a particle and its canonical momentum. The usual relation $E=-p_0$ between the energy of a particle and the time component of the canonical momentum is a special case and is only valid when the world line of the particle does not double back in time.
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     author = {Yu. A. Rylov},
     title = {Connection between the energy-momentum vector and the canonical momentum in relativistic mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {333--337},
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     volume = {2},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_2_3_a6/}
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Yu. A. Rylov. Connection between the energy-momentum vector and the canonical momentum in relativistic mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 3, pp. 333-337. http://geodesic.mathdoc.fr/item/TMF_1970_2_3_a6/