Affiliation:
1. Peoples’ Friendship University of Russia (RUDN University)
2. Joint Institute for Nuclear Research
Abstract
Calculations of optical devices in the geometrized Maxwell’s theory use well-known formalisms of general theory of relativity and differential geometry. In particular, for such calculations it is required to know the analytical form of the geodesic equations, which leads to the need to calculate a large number of monotonous mathematical expressions. One of the purposes of computer algebra is to facilitate the researcher’s work by automating cumbersome symbolic computations. Thus, the use of computer algebra systems seems to be quite an obvious way. Several free implementations of symbolic computations for the apparatus of general relativity are considered. A practical example of symbolic computations for the geometrized Maxwell’s theory is given.
Publisher
The Russian Academy of Sciences
Reference28 articles.
1. Тамм И.Е. Электродинамика анизотропной среды в специальной теории относительности // Журнал Русского физико-химического общества. Часть физическая. 1924. Т. 56. № 2–3. С. 248–262.
2. Тамм И.Е. Кристаллооптика теории относительности в связи с геометрией биквадратичной формы // Журнал Русского физикохимического общества. Часть физическая. 1925. Т. 57. № 3–4. С. 209–240.
3. Mandelstam L.I., Tamm I.Y. Elektrodynamik der anisotropen medien in der speziellen relativittstheorie // Mathematische Annalen. 1925. Bd. 95. H. 1. S. 154–160.
4. Gordon W. Zur Lichtfortpflanzung nach der Relativita‥tstheorie // Annalen der Physik. 1923. Bd. 72. S. 421–456.
5. Plebanski J. Electromagnetic waves in gravitational fields // Physical Review. 1960. V. 118. № 5. P. 1396–1408.