False constraints. A toy model for studying dynamical systems with degenerate Hessian form

Details False constraints. A toy model for studying dynamical systems with degenerate Hessian form False constraints. A toy model for studying dynamical systems with degenerate Hessian form

2010-04-16

arxiv.org/abs/1004.2745v3

J. Phys. A: Math. Theor. 43 (2010) 465206 (17pp)

Physics

Mathematical Physics

v2: 16 pages (in v2 language corrections + minor changes)

Scientific paper

10.1088/1751-8113/43/46/465206

This paper studies various aspects of the motion of relativistic rotators, both in the presence and absence of external fields, using a toy model which, in a sense, can be regarded as a non-relativistic limit of the rotators. In a simpler setup, this enables one to gain an insight into the principal difference between mechanical systems with singular and non-singular Hessian, whilst avoiding the complications resulting from the more intricate form of the equations of motion in the fully relativistic regime. In particular, one can comprehend the apparent contradiction between Hessian singularity and simultaneous occurrence of unique solutions for the motion of the fundamental relativistic rotator minimally coupled to the electromagnetic field. With the aid of the toy model the author supports and illustrates his thesis put forward elsewhere that the Hessian singularity is a defect that makes physically unviable some geometric models of spinning particles considered in the literature.

Affiliated with

Also associated with

No associations

Rating

False constraints. A toy model for studying dynamical systems with degenerate Hessian form does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with False constraints. A toy model for studying dynamical systems with degenerate Hessian form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and False constraints. A toy model for studying dynamical systems with degenerate Hessian form will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-622936