Comment on ``On an identity for the volume integral of the square of a vector field,'' by A. M. Stewart [Am. J. Phys. 75 (6), 561-564 (2007)]
Abstract
Stewart has provided a position-space derivation of an identity for the volume integral of the square of a vector field that was quoted by Gubarev, Stodolsky and Zakharov. In this comment, I provide a momentum-space derivation of this result, generalized to the scalar product of two complex vector fields. This approach demonstrates the effective use of the Fourier transform technique in the context of vector analysis at a level suitable for undergraduate instruction.
- Publication:
-
American Journal of Physics
- Pub Date:
- January 2008
- DOI:
- 10.1119/1.2794347
- arXiv:
- arXiv:0707.4132
- Bibcode:
- 2008AmJPh..76...93I
- Keywords:
-
- 02.00.00;
- 41.00.00;
- Mathematical methods in physics;
- Electromagnetism;
- electron and ion optics;
- Physics - Classical Physics;
- Physics - Physics Education
- E-Print:
- 5 pages