A generalized model for the classical relativistic spinning particle

Abstract

Following the Poincare algebra, in the Hamiltonian approach, for a free spinning particle and using the Casimirs of the algebra, we construct systematically a set of Lagrangians for the relativistic spinning particle which includes the Lagrangian given in the literature. We analyze the dynamics of this generalized system in the Lagrangian formulation and show that the equations of motion support an oscillatory solution corresponding to the spinning nature of the system. Then we analyze the canonical structure of the system and present the correct gauge suitable for the spinning motion of the system.

Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity

“…where (7) There are models based on the light-like vector 휇 [93,94]. Consider the first-class constraints Common for the models (5-8) is the problem whether they admit an interaction with external fields.…”

“…with base S 2 , standard fiber F 2 , projection map f and structure group given by the transformations (110) and (111).…”

“…Let us discuss the relationship between the structure group and local symmetries of the Hamiltonian action (96). The structure transformation (110) can be identified with the scale transformation (100). Concerning the transformation (111), let us apply it to the action (96).…”

“…7. There are models based on the light-like vector ω µ [109,110]. Consider the first-class constraints…”

To square root the Lagrangian or not: an underlying geometrical analysis on classical and relativistic mechanical models

“…Let us now discuss another classical model that describes a relativistic rotator [10]. It is one of a series of papers concerning the description of spinning particles before and after canonical quantization, see [7,9,[20][21][22][23][24][25] and references therein.…”