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Prog. Theor. Phys. Vol. 15 No. 6 (1956) pp. 513-522
Orbits of an Electron in Static Electromagnetic Fields, I
Giiti Iwata
Department of Physics, University of Tokyo, Tokyo
(Received April 4, 1956)
Abstract:
Static electromagnetic fields in which the Hamiltonian-Jacobi equation of an electron is integrable by separation of variables are determined. The field for a perfect imaging system is rediscovered.
URL :
http://ptp.ipap.jp/link?PTP/15/513/
DOI : 10.1143/PTP.15.513
References:
- P. Staeckel, Compt. Rend. Acad. Franc. 116 (1893), 485; Math. Ann. 42 (1893), 537.
- E. Goursat, Compt. Rend. Acad. Franc. 116 (1893), 1051.
- T. Levi-Civita, Math. Ann. 59 (1904), 383.
- F. A. Dall' Aqua, Math. Ann 66 (1908), 398.
- J. Weinacht, Math. Ann. 91 (1924), 279.
- H. P. Robertson, Math. Ann. 98 (1928), 749.
- L. P. Eisenhart, Ann. Math. 35 (1934), 284;
Phys. Rev. 174 (1948), 87[APS].
- G. Hamel, Theoretische Mechanik (Springer, Berlin 1949) 358.
- C. Caratheodory, Geometrische Optik (Springer, Berlin 1937) 72.
- G. Iwata, Prog. Theor. Phys. 8 (1952), 183[PTP].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 19 No. 4 (1958) pp. 369-374
:
-
Separable Dynamical Systems of Staeckel in Flat Space
-
Giiti Iwata
