Miroslav Pardy. From classical to the quantum strings

Natural Sciences / Physics / Mathematical Physics

Submitted on: Dec 03, 2021, 08:59:11

Description: We consider some problems concerning the classical string and the quantum strings which can have the deep physical meaning. We show that there is the asymmetry of the action and reaction in the string motion for the string with the left end fixed and the right end being in periodic motion. We, show that the law of the action-reaction symmetry is violated during the string motion. We derive also the quantum internal motion of this system. The quantization of the string with the interstitial massive defect is performed. It is not excluded that the solution is related to the Moessbauer effect, being recoilless nuclear resonance uorescence, which is the resonant and recoilfree emission and absorption of gamma radiation by atomic nuclei bound in a solid. The classical motion of uniformly accelerated string and its relation the Bell paradox is considered. In this case the string with the length l, is accelerated in such way the left end and the right end of which is non-relativistically and then relativistically accelerated by the constant acceleration a. We discuss the relation of this accelerated string to the Bell spaceship paradox involving the Lorentz contraction. It is evident that the acceleration of the string can be caused by gravity and we show that such acceleration causes the dierent internal motion of the string. Gravity can be described by metrics in the Einstein theory of gravity and by string medium in the Newton model of gravity. We show, that in case of the string model of gravity the motion of planets and Moon are oscillating along the classical trajectories In the string model of hadrons the quarks are treated to be tied together by a gluon tube which can be approximated by the tube of vanishing width, or by string. We apply the delta-function form of force to the left side of the rod and calculate the propagation of the pulse in the system.