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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle g=f-qy}
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