“Global” and “Local” Approaches to the Theory of Open Quantum Optical Systems

Axiomatic quasi-classical quantization of particle motion in the dissipative media

“…Indeed, when deriving the differential equation (8) for functions Qn Qn(t) and obtaining explicit dependencies ( 14) and ( 17) from it, the classical Lagrange equations of motion, which follow from the principle of stationary action, were used. On the other hand, Hamiltonian (20) is a Hermitian operator. This suggests that the particle's motion has quantum properties.…”

“…There are various ways to model of dissipative media [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. When describing the translational motion of particles, the role of the dissipative medium is reduced to the action of classical drag forces, which depend on velocity.…”