MathGroup Archive 2003

[Date Index] [Thread Index] [Author Index]

Search the Archive

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


  • Prev by Date: Re: For[] command in Show[] function
  • Next by Date: RE: For[] command in Show[] function
  • Previous by thread: Laplacian and curlcurl with maxwells eqn's
  • Next by thread: Boolean type-checking