Salivary-Gland 发表于 2025-3-28 18:12:57
Integral Calculus on Manifoldsuld like to give an . feeling of the integral concept we are going to construct. In the familiar theory of Riemann integrals we consider a function of, say, two variables .,y) defined on a “nice” subset . ofℝ..Then we divide this region.into cells △.with area ∈.and in each cell, △.we choose a point.显而易见 发表于 2025-3-28 20:09:29
Dirac Monopolesxperiments, where electric fields are always generated by electrically charged particles, whereas magnetic fields are generated from electric currents. Nevertheless, there is a priori no reason to exclude magnetic charges, and as shown by Dirac (1931) their existence would have interesting theoretic诱导 发表于 2025-3-29 02:45:13
http://reply.papertrans.cn/39/3839/383852/383852_43.png半身雕像 发表于 2025-3-29 05:24:35
Symmetries and Conservation Lawsntinuity(see (7.88)).The vector field . is interpreted as a “current,” and if Ω is a domain in a space slice, then the flux of . through Ω,given by the integral.is interpreted as a “charge.” (The minus sign is conventional. Compare with (8.53).)