For the internal dynamics of molecules it is of crucial importance that nuclei are much heavier than electrons. This leads to the adiabatic picture of the nuclei motion with respect to the motion of electrons. In the adiabatic picture, the coordinates of nuclei play the role of external parameters with respect to the state of the electronic sub-system, that is they play the same role as the adi...

Recent advances in levitated optomechanics provide new perspectives for the use of rotational degrees freedom development quantum technologies as well testing fundamental physics. As translational case, their use, especially regime, is limited by environmental noises, characterization which order to assess, control, and minimize effect, particular decoherence. Here, we present a general perturb...

The concept of quasiresonance was introduced in connection with inelastic collisions between one atom and a vibro-rotationally excited diatomic molecule. In its original form, the collisions induce quasiresonant transfer of energy between the internal degrees of freedom of the diatom: there is a surprisingly accurate low order rational value for the ratio of the changes in the vibrational and r...

We study the vibrational modes of three-dimensional jammed packings of soft ellipsoids of revolution as a function of particle aspect ratio ε and packing fraction. At the jamming transition for ellipsoids, as distinct from the idealized case using spheres where ε= 1, there are many unconstrained and nontrivial rotational degrees of freedom. These constitute a set of zerofrequency modes that are...

For long time the nature of spacetime had been subject debate, here another version will be discussed in form space and fields where a new concept energy constraining can explain interactions between those fields.
 This model comes three parts: constraining, evolution quanton their different transitions are discussed, second part, fields, degrees freedom third part: electromagnetic waves a...

This paper presents the concepts for a new family of holonomic wheeled platforms that feature full omnidirectionality with simultaneous and independently controlled rotational and translational motion capabilities. We first present the “orthogonal-wheels” concept and the two major wheel assemblies on which these platforms are based. We then describe how a combination of these assemblies with ap...