Dynamical Invariant and Exact Mechanical Analyses for the Caldirola-Kanai Model of Dissipative Three Coupled Oscillators.

We study the dynamical invariant for dissipative three coupled oscillators mainly from the quantum mechanical point of view. It is known that there are many advantages of the invariant quantity in elucidating mechanical properties of the system. We use such a property of the invariant operator in quantizing the system in this work.

Classical analysis of time behavior of radiation fields associated with biophoton signals.

Background: Propagation of photon signals in biological systems, such as neurons, accompanies the production of biophotons. The role of biophotons in a cell deserves special attention because it can be applied to diverse optical systems.

Objective: This work has been aimed to investigate the time behavior of biophoton signals emitted from living systems in detail, by introducing a Hamiltonian that describes the process.