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Use symbolic vectors for physics?

Dear all

It is possible to use Symbolic Vector to perform the typical vector operations we use in Physics (for example, electromagnetism)? I mean, for example, applying vector identities to vector fields, like

rot ( rot (A)) = grad( div(A)) - laplacian(A)

o, more interesting for me, to obtain dispersion relations from differential equations. I have seen the documentation for symbolic vectors and tensors, but I assume that there should be more detailed information somewhere. There is already a thread on a closely related subject

http://community.wolfram.com/groups/-/m/t/1127218

but I am not able to obtain a practical conclusion.

Is there an example or tutorial of these type of calculations with Mathematica?

Thank you. Best wishes.

Carlos Soria-Hoyo Sevilla SPAIN

4 Replies
POSTED BY: Neil Singer

Carlos,

I have used the built-in vector operations found in the documentation:

Vector Tutorial

Vector Guide

Operations on Vectors

Is this what you want? These operations all work on symbolic vectors and should do what you want unless I am not understanding your request.

Regards,

Neil

POSTED BY: Neil Singer

The following Mathematica application may be of interest to you.

Grassmann Calculus, Geometric Algebra, Differential Forms

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