We analyze the nonquadratic in time Zeno effect which arises when a few-atom state initially trapped between two high laser-induced barriers is briefly released to free evolution. We identify the Zeno time, analyze the energy distributions of those atoms which have escaped and those that remained inside the trap, and obtain a simple relation between the survival and nonescape probabilities. The relevant time scales are such that the effect would be observable for the atomic species used in current laser experiments.
A Newtonian mechanics model is essentially the model of a point body in an inertial reference frame. How to describe extended bodies in non-inertial (vibration) reference frames with the random initial conditions? One of the most generalized ways of descriptions (known as the higher derivatives formalism) consists in taking into account the infinite number of the higher temporal derivatives of the coordinates in the Lagrange function. Such formalism describing physical objects in the infinite dimensions space does not contradict to the quantum mechanics and infinite dimensions Hilbert space
The issues of developing a methodology for calculating the specific rates of electrical energy consumption during frequency regulation of electric drives of pumping stations are considered. When calculating specific consumption rates, experimental studies were carried out at the Chirchik pumping station. When developing the methodology, technological, design parameters, water consumption, as well as the total capacity of pumping units based on frequency-controlled electric drives are taken into account. At the same time, the characteristics of the main parameters that must be taken into account when choosing variable frequency drives for pumping units are determined.
Physics of non-inertial reference frames is a generalizing of Newton's laws
to any reference frames. The first, Law of Kinematic in non-inertial reference
frames reads: the kinematic state of a body free of forces conserves and
determinates a constant n-th order derivative with respect to time being equal
in absolute value to an invariant of the observer's reference frame. The
second, Law of Dynamic extended Newton's second law to non-inertial reference
frames and also contains additional variables there are higher derivatives of
coordinates. Dynamics Law in non-inertial reference frames reads: a force
induces a change in the kinematic state of the body and is proportional to the
rate of its change. It is mean that if the kinematic invariant of the reference
frame is n-th derivative with respect the time, then the dynamics of a body
being affected by the force F is described by the (n+1)-th differential
equation. The third, Law of Static in non-inertial reference frames reads: the
sum of all forces acting a body at rest is equal to zero.Comment: 7 pages, Late
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