Legendre transformation - PowerPoint PPT Presentation

Thermodynamic relations for dielectrics in an electric field

Thermodynamic relations for dielectrics in an electric field. Section 10. Basic thermodynamics. We always need at least 3 thermodynamic variables One extrinsic, e.g. volume One intrinsic, e.g. pressure Temperature Because of the equation of state, only 2 of these are independent.

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Action-Angle

Action-Angle. Define a 1-D generator S’. Time-independent H . Require new conjugate variables to be constants of motion. Conjugate momentum is a constant J . Hamiltonian is constant Conjugate position is cyclic Linear in time. 1-Dimensional CT. units of action. a frequency.

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455 views • 9 slides

Dynamics

Dynamics. The generalized momentum was defined from the Lagrangian. Euler-Lagrange equations can be written in terms of p . No dissipative forces The Hamiltonian can also be expressed with generalized momentum. EL with Momentum. Change of Variable.

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355 views • 7 slides

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