Chapter XI

Some Physical Applications


Conservative mechanics; Lagrange equations; Hamiltonian function; Hamilton equations; Symplectic forms; Hamiltonian vector fields; Poisson brackets; Canonical transformations; Nonconservative mechanics; Generating function; Hamilton-Jacobi equation; Electromagnetism; Maxwell equations; Tensorial form of Maxwell equations; Maxwell equations as differential forms; General solution of Maxwell equations; Lorenz conditions; Scalar and vector potentials; Thermodynamics; First law of thermodynamics; Work form; Internal energy function; Maxwell reciprocity relations; Entropy; Helmholtz free energy function; Absolute temperature; Specific heat

11.1 Scope of the Chapter

This chapter deals with the exploration ...

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