Advances in Classical Field Theory

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Classical field theory is employed by physicists to describe a wide variety of physical phenomena. These include electromagnetism, fluid dynamics, gravitation and quantum mechanics. The central ...
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Continuity Equation for an Embedded System

Pp. 184-194 (11)

Robert Englman


By a special representation of the number density operator and working with a modulus-phase formalism we obtain the dissipative current, needed to ensure particle number (or charge) conservation in the conducting system coupled to an environment. This generalizes and simplifies previous derivations aimed at the Lindblad type of master equations. In addition to a part depending linearly on the Hamiltonian current, we obtain also a pseudo-curl contribution to the dissipative current.


Department of Physics and Applied Mathematics, Soreq NRC, Yavne 81800, Israel.