Results 211 to 220 of about 5,216 (259)
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1986
Dynamics is the branch of analytical mechanics devoted to the study of the motion of bodies and thc forces and torques that may produce it. However, sincc geometric considerations play a principal role in dynamics, we shall consider initially only the purely geometrical aspecls of motion.
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Dynamics is the branch of analytical mechanics devoted to the study of the motion of bodies and thc forces and torques that may produce it. However, sincc geometric considerations play a principal role in dynamics, we shall consider initially only the purely geometrical aspecls of motion.
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Kinematics of High-Energy Particles
Reviews of Modern Physics, 1962A condensed account of previously published formulas describing the energy, momentum, and angle transformations is given. Jacobians of the Lorentz transformations are discussed. A classificati on system is developed for reactions based both on the properties of the Jacobians and on the law giving the transformation of angles between the center-of-mass ...
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The kinematics of a point particle
2018Abstract This chapter discusses the kinematics of point particles undergoing any type of motion. It introduces the concept of proper time—the geometric representation of the time measured by an accelerated clock. It also describes a world line, which represents the motion of a material point or point particle P, that is, an object whose ...
Nathalie Deruelle, Jean-Philippe Uzan
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On the kinematics of particle interactions
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1969Abstract For a 2-particle interaction, a new canonical frame of reference is defined, namely, one making diagonal the matrix of quadratic moments of the four 4-momenta of the incoming and outgoing particles. When we use constraint coordinates based on the above canonical frame, on the mass-shell, and on the conservation of momentum ...
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Kinematics of the Relativistic Two-Particle System
Journal of Mathematical Physics, 1963Knowing the (canonical) forms that the generators of the infinitesimal transformations of P (the restricted Poincaré Group) take when operating within the Hilbert space of states of an arbitrary irreducible representation of P, such as that which affords a kinematic description of a single relativistic particle, we develop the forms in which they ...
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Kinematics of a Point Particle
2012Kinematics analyzes the trajectories, velocities, and accelerations of the points of a moving body, the deformations of its volume elements, and the dependence of all these quantities on the frame of reference. In many cases, when such an accurate description of motion is too complex, it is convenient to substitute the real body with an ideal body for ...
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Kinematic variables and feature engineering for particle phenomenology
Reviews of Modern Physics, 2023Prasanth Shyamsundar +2 more
exaly
Particle Kinematics and an Introduction to the Kinematics of Rigid Bodies
2012First of all, the word kinematics comes from the Greek word for motion. As was already mentioned, kinematics is the branch of mechanics that deals with the analysis of motion of particles and rigid bodies in space, but from a geometric point of view, that is, neglecting the forces and torques that produce the motion.
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