Hamiltonian Formulation of Heat Conduction: Integral Transform Method Approach

The mathematical description of physical systems makes often use of the Hamiltonian formalism, which from its original application to derive the so-called Hamilton’s equations of motion in classical mechanics quickly spread on many other physical phenomena, ranging from statistical physics to quantum mechanics [1]. Although the Hamiltonian formulation of a problem of mathematical physics in general does not simplify the search for a solution, very often it provides a better insight of physical phenomena and reveals analogies which may remain hidden when using other formulations.