Classical Mechanics: Hamiltonian and Lagrangian Formalism
- A. Deriglazov
- Physics
- 7 September 2010
Sketch of Lagrangian Formalism.- Hamiltonian Formalism.- Canonical Transformations of Two-Dimensional Phase Space.- Properties of Canonical Transformations.- Integral Invariants.- Potential Motion in…
Noncommutative relativistic particle on the electromagnetic background
- A. Deriglazov
- Physics
- 27 August 2002
World-line geometry probed by fast spinning particle
- A. Deriglazov, W. G. Ram'irez
- Physics
- 16 September 2014
Interaction of spin with electromagnetic field yields an effective metric along the world line of spinning particle. If we insist to preserve the usual special-relativity definitions of time and…
On singular Lagrangian underlying the Schrödinger equation
- A. Deriglazov
- Physics
- 8 March 2009
Rigid particle revisited: Extrinsic curvature yields the Dirac equation
- A. Deriglazov, A. Nersessian
- Physics
- 3 March 2013
Noncommutative version of an arbitrary nondegenerated mechanics
- A. Deriglazov
- Mathematics
- 10 August 2002
A procedure to obtain noncommutative version for any nondegenerated dynamical system is proposed and discussed. The procedure is as follow. Let $S=\int dt L(q^A, ~ \dot q^A)$ is action of some…
Mathisson–Papapetrou–Tulczyjew–Dixon equations in ultra-relativistic regime and gravimagnetic moment
- A. Deriglazov, W. G. Ram'irez
- Physics
- 17 September 2015
Mathisson–Papapetrou–Tulczyjew–Dixon (MPTD) equations in the Lagrangian formulation correspond to the minimal interaction of spin with gravity. Due to the interaction, in the Lagrangian equations…
Ultrarelativistic Spinning Particle and a Rotating Body in External Fields
- A. Deriglazov, W. G. Ram'irez
- Physics
- 27 October 2015
We use the vector model of spinning particle to analyze the influence of spin-field coupling on the particle’s trajectory in ultrarelativistic regime. The Lagrangian with minimal spin-gravity…
Reparametrization-invariant formulation of classical mechanics and the Schrödinger equation
- A. Deriglazov, B. Rizzuti
- Physics, Mathematics
- 26 July 2011
Any classical-mechanics system can be formulated in reparametrization-invariant form. That is, we use the parametric representation for the trajectories, x=x(τ) and t=t(τ) instead of x=x(t). We…
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