Transition from three to four dimensions in the differential-form formulation of electrodynamics
Tóm tắt
Từ khóa
Tài liệu tham khảo
H. Grauert and I. Lieb:Differential und Integralrechnung. Vol.3, Springer Verlag, Berlin, 1968.
Charles Misner, Kip Thorne and John Archibald Wheeler:Gravitation. Freeman and Co., San Francisco, 1973, Sec. 2.5.
Cornelius von Westenholz:Differential Forms in Mathematical Physics. North Holland, Amsterdam, 1978.
Walther Thirring:Course in Mathematical Physics. Vol.2:Classical Field Theory, Springer Verlag, New York, 1979.
Jan Arnoldus Schouten:Tensor Analysis for Physicists. Dover Publ., New York 1989 (First edition: Clarendon Press, Oxford, 1951).
Theodore Frankel:Gravitational Curvature. An Introduction to Einstein's Theory. Freeman and Co., San Francisco, 1979.
Roman Ingarden and Andrzej Jamioŀkowski:Classical Electrodynamics. Elsievier, Amsterdam, 1985.
William L. Burke:Spacetime, Geometry, Cosmology. University Science Books, Mill Valley, 1980.
Bernard Jancewicz: A variable metric electrodynamics. The Coulomb and Biot-Savart laws in anisotropic media.Ann. Phys 245 (1996), 227.
Bernard Jancewicz: The extended Grassmann algebra ofR 3. InClifford (Geometric) algebras, W.E. Baylis, editor, Birkhäuser, Boston, 1996.
Pertti Lounesto, Risto Mikkola and Vesa Vierros:J. Comp. Math. Sci. Teach. 9 (1989), 93.
Jan Weyssenhoff:Principles of classical electromagnetism and optics (in Polish). PWN, Warsaw 1956.
Arnold Sommerfeld:Vorlesungen über Theoretische Physik. Band III:Elektrodynamik, Akademie Verlag, Leipzig, 1949.
Ismo V. LindellMethods for Electromagnetic Field Analysis. Clarendon Press, Oxford, 1992.