A method of exactly solving the master equation is presented in this letter. The explicit form of the solution is determined by the time evolution of a composite system including an auxiliary system and the open system in question. The effective Hamiltonian governing the time evolution of the composed system are derived from the master equation. Two examples, the dissipative two-level system an...

We propose a method to obtain the equilibrium distribution for positions and velocities of a one-dimensional particle via time-averaging and Laplace transformations. We apply it to the case of a damped harmonic oscillator in contact with a thermal bath. The present method allows us to treat, among other cases, a Gaussian noise function exponentially correlated in time, e.g., Gaussian colored no...

Numerical calculations and analysis of the tension states in hard tissues of tooth are very interesting and important issues from the orthodontist’s point of view. Orthodontic methods of treatment can have a dramatic effect on children’s long-term dental health and facial appearance. Research done in this field shows that due to understanding mechanics of masticatory organ it is possible to att...