The Thomas precession and velocity‐space curvature

1986 ◽  
Vol 27 (5) ◽  
pp. 1284-1286 ◽  
Author(s):  
Shahar Ben‐Menahem
Keyword(s):  
Velocity Space ◽  
Thomas Precession ◽  
Space Curvature

scholarly journals A relativistic basis of the quantum theory.—II

1934 ◽  
Vol 145 (855) ◽  
pp. 645-656 ◽  
Keyword(s):  
Quantum Mechanics ◽  
Wave Equation ◽  
Quantum Theory ◽  
General Expression ◽  
Matrix Equation ◽  
Covariant Derivative ◽  
Riemannian Geometry ◽  
Order Equation ◽  
Second Order ◽  
Space Curvature

The paper is a continuation of the last paper communicated to these 'Proceedings.' In that paper, which we shall refer to as the first paper, a more general expression for space curvature was obtained than that which occurs in Riemannian geometry, by a modification of the Riemannian covariant derivative and by the use of a fifth co-ordinate. By means of a particular substitution (∆ μσ σ = 1/ψ ∂ψ/∂x μ ) it was shown that this curvature takes the form of the second order equation of quantum mechanics. It is not a matrix equation, however but one which has the character of the wave equation as it occurred in the earlier form of the quantum theory. But it contains additional terms, all of which can be readily accounted for in physics, expect on which suggested an identification with energy of the spin.

Kinematical evolution of Globular Clusters

2019 ◽  
Vol 14 (S351) ◽  
pp. 524-527
Author(s):  
Maria A. Tiongco ◽  
Enrico Vesperini ◽  
Anna Lisa Varri
Keyword(s):  
Angular Momentum ◽  
Structural Properties ◽  
Globular Clusters ◽  
Velocity Dispersion ◽  
Three Dimensional ◽  
Stellar Populations ◽  
Velocity Space ◽  
Fundamental Understanding

AbstractWe present several results of the study of the evolution of globular clusters’ internal kinematics, as driven by two-body relaxation and the interplay between internal angular momentum and the external Galactic tidal field. Via a large suite of N-body simulations, we explored the three-dimensional velocity space of tidally perturbed clusters, by characterizing their degree of velocity dispersion anisotropy and their rotational properties. These studies have shown that a cluster’s kinematical properties contain distinct imprints of the cluster’s initial structural properties, dynamical history, and tidal environment. Building on this fundamental understanding, we then studied the dynamics of multiple stellar populations in globular clusters, with attention to the largely unexplored role of angular momentum.

scholarly journals Inversion methods for fast-ion velocity-space tomography in fusion plasmas

2016 ◽  
Vol 58 (4) ◽  
pp. 045016 ◽  
Author(s):  
A S Jacobsen ◽  
L Stagner ◽  
M Salewski ◽  
B Geiger ◽  
W W Heidbrink ◽  
...  
Keyword(s):  
Velocity Space ◽  
Fusion Plasmas ◽  
Inversion Methods ◽  
Ion Velocity ◽  
Fast Ion

Discretization of the Boltzmann equation in velocity space using a Galerkin approach

2000 ◽  
Vol 129 (1-3) ◽  
pp. 91-99 ◽  
Author(s):  
Jonas Tölke ◽  
Manfred Krafczyk ◽  
Manuel Schulz ◽  
Ernst Rank
Keyword(s):  
Boltzmann Equation ◽  
Velocity Space ◽  
Galerkin Approach ◽  
The Boltzmann Equation
Sign in / Sign up

Export Citation Format

Share Document