Related papers: Three-line derivation of the Thomas precession

Instantaneous derivation of the Thomas precession with only basic vector calculus.

The Thomas precession is calculated using three different transformations to the rotating frame. It is shown that for sufficiently large values of $v/c$, important differences in the predicted angle of precession appear, depending on the…

Exact and simple calculation of Thomas rotation and Thomas precessions along a circular world line is presented in an absolute (coordinate-free) formulation of special relativity. Besides the simplicity of calculations the absolute…

We show that a simple and straightforward rational approximation to the Thomas--Fermi equation provides the slope at origin with unprecedented accuracy. We compare present approach with other available ones.

The new derivation of the equation of the spin precession is given for a particle possessing electric and magnetic dipole moments. Contributions from classical electrodynamics and from the Thomas effect are explicitly separated. A fully…

In this paper we prove a Thomae derivative formula for trigonal curves admitting a non-singular affine model. This formula relates the derivatives of theta functions with rational characteristics on the curve to explicit expressions in the…

The LU-decomposition of Lehmer's tridiagonal matrix is first guessed, then proved, which leads to an evaluation of the determinant.

The unique third-order invariant variational equation in three-dimensional (pseudo)Euclidean space is derived.

We determine the nonlinear transformations between coordinate systems which are mutually in a constant symmetrical accelerated motion. The maximal acceleration limit follows from the kinematical origin and it is an analogue of the maximal…

We prove Simon's conjecture for 3-manifolds.

The contents of this article are now presented in the appendix of arXiv:0805.2195v2.

A simple and transparent derivation of the formally exact probability distribution for classical non-equilibrium systems is given. The corresponding stochastic, dissipative equations of motion are also derived.

I present a simple derivation of the de Gennes narrowing phenomenon.

A variational equation of the third order in three-dimensional space is proposed which describes autoparallel curves of some connection.

Computations in the cohomology of finite groups.

A complete list of irreducible triangulations is identified on the M\"obius band.

We introduce the tame isotropy group of a derivation of a polynomial ring. We study this group for certain triangular derivations up to three variables, for simple derivations in two variables, and for simple Shamsuddin derivations in any…

This is an example on the cohomology of threefolds.

We extend the usual definition of the derivative in a way that Calculus I students can easily comprehend and which allows calculations at branch points.

Using the standard formalism of Lorentz transformation of the special theory of relativity, we derive the exact expression of the Thomas precession rate for an electron in a classical circular orbit around the nucleus of a hydrogen-like…