Angular momentum radiated by classical point particles

1979 ◽  
Vol 20 (2) ◽  
pp. 580-581 ◽  
Author(s):  
E. G. Peter Rowe
Keyword(s):  
Angular Momentum ◽  
Point Particles ◽  
Classical Point Particles ◽  
Classical Point

Statistical Mechanics of Classical Particles with Gravitational Interactions: Exactly Solvable (for N≤∞) in d=1 and d>2

1997 ◽  
Vol 11 (01n02) ◽  
pp. 127-131 ◽  
Author(s):  
Michael K.-H. Kiessling
Keyword(s):  
Statistical Mechanics ◽  
Continuum Model ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Point Particles ◽  
Exactly Solvable ◽  
Classical Point Particles ◽  
Classical Particles ◽  
Classical Point ◽  
Liouville’S Equation

This paper is concerned with a curious gap in a string of exactly solvable models, a gap that is suggestively related to a completely integrable nonlinear PDE in d=2 known as Liouville's equation. This PDE emerges in a limit N→∞ from the equilibrium statistical mechanics of classical point particles with gravitational interactions (SMGI) in dimension d=2 which, accordingly, is an exactly solvable continuum model in this limit. Interestingly, in d=1 and all d>2, the SMGI can be, and partly has been, exactly evaluated for all N≤∞. This entitles one to suspect that the SMGI for d=2 is likewise exactly solvable for N>∞, but currently this is an unproven hypothesis. If this conjecture can be answered in the affirmative, spin-offs in various areas associated with Liouville's equation, such as vortex gases, superfluidity, random matrices, and string theory can be expected.

Electromagnetic (self-) interactions in relativistic Schrödinger theory

2001 ◽  
Vol 79 (6) ◽  
pp. 879-906
Author(s):  
M Mattes ◽  
S Rupp ◽  
M Sorg
Keyword(s):  
Gauge Field ◽  
Mathematical Structure ◽  
Point Particle ◽  
Pathological Features ◽  
Fibre Bundles ◽  
Point Particles ◽  
Self Energy ◽  
Electromagnetic Interactions ◽  
Classical Point Particles ◽  
Classical Point

The Relativistic Schrödinger Theory (RST) is applied to a system of N particles with electromagnetic interactions. The gauge group is U(1) × U(1)... × U(1). By exploiting the mathematical structure of fibre bundles, the energy-momentum content of the gauge field can be defined in such a way that no infinite self-energy of point charges can arise. However, the picture of classical point particles becomes insufficient in any case in view of the exchange and overlap effects occurring in RST. The presence of overlap currents seems to be necessary to remedy certain pathological features of the classical point-particle theories. PACS Nos.: 03.65Pm, 03.65Ge, 03.65Ta

scholarly journals OPERATIONAL GEOMETRY ON DE SITTER SPACETIME

2012 ◽  
Vol 27 (23) ◽  
pp. 1250130 ◽  
Author(s):  
P. AGUILAR ◽  
Y. BONDER ◽  
C. CHRYSSOMALAKOS ◽  
D. SUDARSKY
Keyword(s):  
Quantum Theory ◽  
Operational Definition ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Spacetime Geometry ◽  
Point Particles ◽  
Sitter Spacetime ◽  
Classical Point Particles ◽  
Definition Of ◽  
Classical Point

Traditional geometry employs idealized concepts like that of a point or a curve, the operational definition of which relies on the availability of classical point particles as probes. Real, physical objects are quantum in nature though, leading us to consider the implications of using realistic probes in defining an effective spacetime geometry. As an example, we consider de Sitter spacetime and employ the centroid of various composite probes to obtain its effective sectional curvature, which is found to depend on the probe's internal energy, spatial extension, and spin. Possible refinements of our approach are pointed out and remarks are made on the relevance of our results to the quest for a quantum theory of gravity.

scholarly journals Finite Self-Energy of Classical Point Particles

1960 ◽  
Vol 4 (7) ◽  
pp. 375-377 ◽  
Author(s):  
R. Arnowitt ◽  
S. Deser ◽  
C. W. Misner
Keyword(s):  
Point Particles ◽  
Self Energy ◽  
Classical Point Particles ◽  
Classical Point

DISTRIBUTIONAL TORSION OF COSMIC STRINGS WITH POLARIZED SPINNING MATTER

1998 ◽  
Vol 13 (27) ◽  
pp. 2227-2230 ◽  
Author(s):  
L. C. GARCIA DE ANDRADE
Keyword(s):  
Angular Momentum ◽  
Cosmic String ◽  
Cosmic Strings ◽  
Finite Size ◽  
The Other ◽  
Spinning Particles ◽  
Point Particles ◽  
Cartan Torsion ◽  
Spin Polarized ◽  
Dirac Distribution

A cosmic string of finite size in Weitzenböck space–time is built where spin polarized particles can be found along the string and orthogonal to it. Only spinning particles polarized along the string contribute to the angular momentum of the string while the other is only a torsion source like in Einstein–Cartan (EC) theory. Cartan torsion is given by a δ-Dirac distribution and the metric is the lift of (2+1)-gravity point particles to (3+1)-cosmic strings.

Rotating systems

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Angular Momentum ◽  
Reference Point ◽  
Inertial Frame ◽  
Equations Of Motion ◽  
Momentum Conservation ◽  
Total Momentum ◽  
Relativistic Dynamics ◽  
Point Particles ◽  
Rotating Systems ◽  
Free Particles

This chapter continues the discussion of the laws of relativistic dynamics for systems of point particles, beginning with the law of angular momentum conservation in collisions. It considers an ensemble of free particles each characterized by its (constant) momentum pa. The total momentum p = Σ‎apa does not depend on the inertial frame used, but the angular momentum will depend on the frame, because its definition involves radius vectors between an event reference point and points qa on the particle world lines. Furthermore, these are chosen to be simultaneous in a given frame. The chapter also formulates the equations of motion for particles possessing an internal rotation or ‘spin’.

scholarly journals On the theory of point-particles

1944 ◽  
Vol 183 (993) ◽  
pp. 134-141 ◽  
Keyword(s):  
Angular Momentum ◽  
Energy Momentum Tensor ◽  
Proper Time ◽  
World Line ◽  
Equations Of Motion ◽  
Momentum Tensor ◽  
Singular Terms ◽  
Point Particles ◽  
The World ◽  
Energy And Momentum

It is deduced from the conservation of the energy -momentum tensor that if the flow of energy and momentum into a tube surrounding a time-like world-line, on which the field is singular, become singular as the size of the tube is contracted to zero, then the singular terms are necessarily perfect differentials of quantities on the world-line with respect to the proper time along the world-line. The same can be proved of any other tensor, as, for example, the angular-momentum tensor, which is conserved. It is proved from this that for any point -particle whatever having charge, spin or other properties, which need not be specified, it is always possible to deduce exact equations of motion which are finite. It is proved further that if the energy-momentum tensor is altered by the addition of ∂ K μvσ /∂x σ , where K μvσ is any tensor antisymmetric in v and σ , then the equations of motion are unaltered, but it is possible to choose K μvσ in such a way as to make the flow of energy and momentum into a given tube non-singular.

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