Legendre transform

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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]

  1. Mary L. Boas "Mathematical methods in the Physical Sciences" John Wiley & Sons, Second Edition ISBN 0471044091
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