In the physics and mathematics literature there exist two undetermined multiplier treatments of the Lagrange problem of the calculus of variations. These two treatments yield different results, in general; although they are in agreement in several commonly treated special cases. It is shown herein that the method favored by most physics texts is incorrect in the case of nonintegrable differential constraints, while the method appearing in most books on the methods of mathematical physics and the calculus of variations is correct, in general.
This content is only available via PDF.
© 1966 American Association of Physics Teachers.
1966
American Association of Physics Teachers
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.
