Re: Laplacian and curlcurl with maxwells eqn's
- To: mathgroup at smc.vnet.net
- Subject: [mg41836] Re: Laplacian and curlcurl with maxwells eqn's
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Fri, 6 Jun 2003 09:51:13 -0400 (EDT)
- Organization: The University of Western Australia
- References: <bbna5i$2ak$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
In article <bbna5i$2ak$1 at smc.vnet.net>, "Chris Williams" <bone_thugz_69 at hotmail.com> wrote: > Suppose i was to define two functions electricE and magneticH as some values > that satisfied div electricE = 0, div magneticH = 0, curl electricE = > -1/c(dH/dt) curl magneticH = -1/c(dE/dt) > how would i then use these equations to say find the laplacian value of E H > which should equal -1/c^2(d^2E/dt^2) and -1/c^2(d^2H/dt^2) respectively > i am also having trouble proving that curlcurlE and curlcurlH equal > -1/c^2(d^2E/dt^2) and -1/c^2(d^2H/dt^2) respectively > i know how to do it by hand, but am relatively new to mathematica ... any > help is greatfully appreciated! thank you At http://w3.pppl.gov/~hongqin/computerAlgebra.htm you will find reference to a Mathematica Symbolic Vector Analysis package developed by Hong Qin. I have made a few minor changes to his Package (correcting some formatting bugs) and put his Package, Notebooks, and PDF files at http://www.physics.uwa.edu.au/pub/Mathematica/Calculus/ I suggest putting GeneralVectorAnalysis.m into a folder called Calculus in the directory returned by evaluating $UserAddOnsDirectory. Cheers, Paul -- Paul Abbott Phone: +61 8 9380 2734 School of Physics, M013 Fax: +61 8 9380 1014 The University of Western Australia (CRICOS Provider No 00126G) 35 Stirling Highway Crawley WA 6009 mailto:paul at physics.uwa.edu.au AUSTRALIA http://physics.uwa.edu.au/~paul