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Publications Influence

Classical Mechanics: Hamiltonian and Lagrangian Formalism

- A. Deriglazov
- Mathematics
- 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… Expand

58 4

Noncommutative relativistic particle on the electromagnetic background

- A. Deriglazov
- Physics
- 27 August 2002

Abstract A noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable θμν(τ) instead of the numerical… Expand

38 4- PDF

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… Expand

16 2- PDF

Noncommutative version of an arbitrary nondegenerated mechanics

- A. Deriglazov
- Physics
- 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… Expand

15 2- PDF

Ultrarelativistic Spinning Particle and a Rotating Body in External Fields

- A. Deriglazov, W. G. Ram'irez
- Physics, Mathematics
- 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… Expand

34 1- PDF

Frenkel electron on an arbitrary electromagnetic background and magnetic Zitterbewegung

- A. Deriglazov, A. Pupasov-Maksimov
- Physics
- 29 January 2014

Abstract We present Lagrangian which implies both necessary constraints and dynamical equations for position and spin of relativistic spin one-half particle. The model is consistent for any value of… Expand

18 1- PDF

Mathisson–Papapetrou–Tulczyjew–Dixon equations in ultra-relativistic regime and gravimagnetic moment

- A. Deriglazov, W. G. Ram'irez
- Physics, Mathematics
- 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… Expand

31 1- PDF

Rigid particle revisited: Extrinsic curvature yields the Dirac equation

- A. Deriglazov, A. Nersessian
- Physics, Mathematics
- 3 March 2013

Abstract We reexamine the model of relativistic particle with higher-derivative linear term on the first extrinsic curvature (rigidity). The passage from classical to quantum theory requires a number… Expand

15 1- PDF

On singular Lagrangian underlying the Schrödinger equation

- A. Deriglazov
- Physics, Mathematics
- 8 March 2009

Abstract We analyze the properties that manifest Hamiltonian nature of the Schrodinger equation and show that it can be considered as originating from singular Lagrangian action (with two second… Expand

15 1- PDF

Three-loop β-function for the two-dimensional non-linear σ-model with a Wess-Zumino-Witten term

- S. Ketov, A. Deriglazov, Y. S. Prager
- Physics
- 5 March 1990

Abstract The three-loop β-function for the two-dimensional non-linear σ-model with a Wess- Zumino-Witten term is computed by using the covariant background field method. The β-function is proved to… Expand

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