The Legendre transform is used to perform a change of variables (see, for example, Ref. [1] Chapter 4 section 11 Eq. 11.20 - 11.25).
If one has the function
one can write

Let
, and
, thus

If one subtracts
from
, one has

or

Defining the function
then

The partial derivatives of
are
.
See also[edit]
References[edit]
- ↑ Mary L. Boas "Mathematical methods in the Physical Sciences" John Wiley & Sons, Second Edition ISBN 0471044091
- Related reading