World-line condition for a spinning particle in superspace

1984 ◽  
Vol 82 (1) ◽  
pp. 17-28 ◽  
Author(s):  
J. Gomis ◽  
P. Mato ◽  
M. Novell
Keyword(s):  
World Line ◽  
Spinning Particle ◽  
Line Condition

scholarly journals Yukawa couplings for the spinning particle and the world-line formalism

1995 ◽  
Vol 351 (1-3) ◽  
pp. 200-205 ◽  
Author(s):  
Myriam Mondragón ◽  
Lukas Nellen ◽  
Michael G. Schmidt ◽  
Christian Schubert
Keyword(s):  
World Line ◽  
Spinning Particle ◽  
Yukawa Couplings ◽  
The World

Forms of relativistic dynamics with World Line Condition and separability

1983 ◽  
Vol 13 (3) ◽  
pp. 385-393 ◽  
Author(s):  
E. C. G. Sudarshan ◽  
N. Mukunda
Keyword(s):  
World Line ◽  
Relativistic Dynamics ◽  
Line Condition

scholarly journals World-line condition and the noninteraction theorem

1985 ◽  
Vol 31 (2) ◽  
pp. 314-318 ◽  
Author(s):  
F. Marquès ◽  
V. Iranzo ◽  
A. Molina ◽  
A. Montoto ◽  
J. Llosa
Keyword(s):  
World Line ◽  
Line Condition

scholarly journals Descriptions of Relativistic Dynamics with World Line Condition

2019 ◽  
Vol 1 (2) ◽  
pp. 181-192 ◽  
Author(s):  
Florio Maria Ciaglia ◽  
Fabio Di Cosmo ◽  
Alberto Ibort ◽  
Giuseppe Marmo
Keyword(s):  
Tangent Bundle ◽  
Vector Fields ◽  
World Line ◽  
Poisson Brackets ◽  
Relativistic Dynamics ◽  
Geometrical Analysis ◽  
Poincaré Algebra ◽  
Algebra Versus ◽  
Line Condition

In this paper, a generalized form of relativistic dynamics is presented. A realization of the Poincaré algebra is provided in terms of vector fields on the tangent bundle of a simultaneity surface in R 4 . The construction of this realization is explicitly shown to clarify the role of the commutation relations of the Poincaré algebra versus their description in terms of Poisson brackets in the no-interaction theorem. Moreover, a geometrical analysis of the “eleventh generator” formalism introduced by Sudarshan and Mukunda is outlined, this formalism being at the basis of many proposals which evaded the no-interaction theorem.

World-line geometry probed by fast spinning particle

2015 ◽  
Vol 30 (21) ◽  
pp. 1550101 ◽  
Author(s):  
Alexei A. Deriglazov ◽  
Walberto Guzmán Ramírez
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
Critical Speed ◽  
World Line ◽  
Empty Space ◽  
Line Geometry ◽  
Speed Of Light ◽  
Spinning Particle ◽  
Effective Metric ◽  
The World

Interaction of spin with electromagnetic field yields an effective metric along the world-line of spinning particle with anomalous magnetic moment. If we insist to preserve the usual special relativity definitions of time and distance, critical speed which the particle cannot overcome during its evolution in electromagnetic field differs from the speed of light. Instead, we can follow the general relativity prescription to define time and distance. With these definitions, critical speed coincides with the speed of light. But intervals of time and distance probed by the particle in the presence of electromagnetic field slightly differ from those in empty space. Effective metric arises also when spin interacts with gravitational field.

The kinematics of a point particle

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Internal Structure ◽  
Proper Time ◽  
World Line ◽  
Point Particle ◽  
Material Point ◽  
Spatial Extent ◽  
Geometric Representation ◽  
Mathematical Result ◽  
Point Particles ◽  
The World

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 spatial extent and internal structure can be ignored. The chapter then considers the interpretation of the curvilinear abscissa, which by definition measures the length of the world line L representing the motion of the point particle P. Next, the chapter discusses a mathematical result popularized by Paul Langevin in the 1920s, the so-called ‘Langevin twins’ which revealed a paradoxical result. Finally, the transformation of velocities and accelerations is discussed.

Path integral for spinning particle in magnetic field via bosonic coherent states

1995 ◽  
Vol 36 (4) ◽  
pp. 1602-1615 ◽  
Author(s):  
T. Boudjedaa ◽  
A. Bounames ◽  
L. Chetouani ◽  
T. F. Hammann ◽  
Kh. Nouicer
Keyword(s):  
Magnetic Field ◽  
Path Integral ◽  
Coherent States ◽  
Spinning Particle

scholarly journals The Equation of Motion of a Spinning Particle in a Meson Field

1952 ◽  
Vol 8 (6) ◽  
pp. 670-672
Author(s):  
R. C. Majumdar ◽  
S. P. Pandya ◽  
S. Gupta
Keyword(s):  
Equation Of Motion ◽  
Meson Field ◽  
Spinning Particle
Sign in / Sign up

Export Citation Format

Share Document