4 papers
Free semigroup non-relativistic phase space states quantisation
Georgii Koniukov
Quantisation is considered as an action of classical point operators on field states at the Planck scale of the phase space. Emphasis is placed on the sequence of physical variable…
The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force
Georgii Koniukov, Dmitry Nerukh
It has been known for a long time that the equation of motion for dissipative linear dynamical systems with constant coefficients cannot be derived from the classical principle of…
Deriving friction force using fractional calculus
Georgii Koniukov
The friction force is derived using fractional calculus by considering the non-uniform flow of time in dissipative processes. The approach incorporates inhomogeneous velocity witho…
Protein atom traps as seeing by neutron scattering
Georgii Koniukov
The expression for the higher temperature dependence of the mean squared displacement in proteins is obtained. The quantum multi-well model explains the dynamic transitions of the…