Minimal irreversible quantum mechanics. The decay of unstable states

Details Minimal irreversible quantum mechanics. The decay of unstable states Minimal irreversible quantum mechanics. The decay of unstable states

2000-05-11

arxiv.org/abs/quant-ph/0005041v1

Physica A, 277, (2000), 469-495

Physics

Quantum Physics

39 pages, 2 figures

Scientific paper

10.1016/S0378-4371(99)00480-X

Brownian motion is modelled by a harmonic oscillator (Brownian particle) interacting with a continuous set of uncoupled harmonic oscillators. The interaction is linear in the coordinates and the momenta. The model has an analytical solution that is used to study the time evolution of the reduced density operator. It is derived in a closed form, in the one-particle sector of the model. The irreversible behavior of the Brownian particle is described by a reduced density matrix.

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