The Functional Derivation of Master Equations

Details The Functional Derivation of Master Equations The Functional Derivation of Master Equations

1998-04-22

arxiv.org/abs/quant-ph/9804054v3

Mod. Phys. Lett. A, Vol. 14, No. 32 (1999) pp. 2259-2267

Physics

Quantum Physics

10 pages; LaTex. - Contribution to the workshop Hadron Physics VI, March 1998, Florianopolis (Brazil); proceedings, E. Ferreir

Scientific paper

10.1142/S0217732399002340

Master equations describe the quantum dynamics of open systems interacting with an environment. They play an increasingly important role in understanding the emergence of semiclassical behavior and the generation of entropy, both being related to quantum decoherence. Presently we derive the exact master equation for a homogeneous scalar Higgs or inflaton like field coupled to an environment field represented by an infinite set of harmonic oscillators. Our aim is to demonstrate a derivation directly from the path integral representation of the density matrix propagator. Applications and generalizations of this result are discussed.

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