The propagation and decay of neutral B-mesons can be described in terms of
quantum dynamical semigroups; they provide generalized time-evolutions that
take into account possible non-standard effects leading to loss of phase c
oherence and dissipation. These effects can be fully parametrized in terms
of six phenomenological constants. A derailed analysis of selected B-meson
decays shows that present and future dedicated experiments, both at collide
rs and B-factories, will be able to put stringent bounds on these non-stand
ard parameters. (C) 2001 Elsevier Science B.V. All rights reserved.