| Abstract: | Spontaneous transitions between bound states of an atomic system, “Lamb Shift” of energy levels and many other phenomena in
real nonrelativistic quantum systems are connected within the influence of the quantum vacuum fluctuations (fundamental environment (FE)) which are impossible to consider in the limits of standard quantum-mechanical approaches. The joint system “quantum
system (QS) + FE” is described in the framework of the stochastic differential equation (SDE) of Langevin-Schr?dinger (L-Sch)
type, and is defined on the extended space R
3
⊗
R
{ξ}, where R
3 and R
{ξ} are the Euclidean and functional spaces, respectively. The density matrix for single QS in FE is defined. The entropy of
QS entangled with FE is defined and investigated in detail. It is proved that as a result of interaction of QS with environment
there arise structures of various topologies which are a new quantum property of the system. |
