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Physics Letters B, ISSN 0370-2693, 09/2014, Volume 736, Issue C, pp. 278 - 282
Journal Article
Physics Letters A, ISSN 0375-9601, 12/2012, Volume 377, Issue 1-2, pp. 13 - 17
We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position... 
Semiclassical description of relativistic spin | Theories with constraints | Dirac equation | PARTICLE | SPIN | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | EQUATION
Journal Article
Annals of Physics, ISSN 0003-4916, 2012, Volume 327, Issue 2, pp. 398 - 406
We propose a relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Both -matrices and the... 
Local (gauge) symmetries | Theories with constraints | Relativistic spin | Zitterbewegung | Dirac equation | ELECTRON | PARTICLES | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | QUANTIZATION | Variables | Atoms & subatomic particles | Models | Quantum theory | Operators | Tensors | Dynamics | Mathematical analysis | Particle spin | Mathematical models | Relativistic particles
Journal Article
Physics Letters A, ISSN 0375-9601, 01/2012, Volume 376, Issue 4, pp. 309 - 313
We construct the relativistic particle model without Grassmann variables which meets the following requirements. A) Canonical quantization of the model implies... 
Theories with constraints | Semiclassical description of relativistic spin | Zitterbewegung | Dirac equation | ELECTRON | PHYSICS, MULTIDISCIPLINARY | DYNAMICS
Journal Article
Physics Letters B, ISSN 0370-2693, 04/2018, Volume 779, pp. 210 - 213
Nonminimal spin-gravity interaction through unit gravimagnetic moment leads to modified Mathisson–Papapetrou–Tulczyjew–Dixon equations with improved behavior... 
PHYSICS, NUCLEAR | MASSES | GENERAL-RELATIVITY | ASTRONOMY & ASTROPHYSICS | SPIN PRECESSION | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | High Energy Physics - Theory | Physics
Journal Article
The European Physical Journal C, ISSN 1434-6044, 10/2014, Volume 74, Issue 10, pp. 1 - 18
Journal Article
International Journal of Modern Physics D, ISSN 0218-2718, 05/2017, Volume 26, Issue 6, p. 1750047
Mathisson–Papapetrou–Tulczyjew–Dixon (MPTD) equations in the Lagrangian formulation correspond to the minimal interaction of spin with gravity. Due to the... 
Spinning particle | ultra-relativistic motion | gravimagnetic moment | FIELDS | GENERAL-RELATIVITY | SPIN | PARTICLES | FRENKEL ELECTRON | RADIATION | MOTION | ASTRONOMY & ASTROPHYSICS | BODIES | COMPACT BINARY-SYSTEMS
Journal Article
Physics Letters A, ISSN 0375-9601, 03/2014, Volume 378, Issue 18-19, pp. 1224 - 1227
We reexamine the model of relativistic particle with higher-derivative linear term on the first extrinsic curvature (rigidity). The passage from classical to... 
Rigid particles | Theories with constraints | Semiclassical description of relativistic spin | Dirac equation | PHYSICS, MULTIDISCIPLINARY | HAMILTONIAN-FORMALISM | LAGRANGIANS | MODEL | QUANTIZATION | GEOMETRY | Analysis | Quantum theory | Algebra | Mathematical analysis | Quantization | Solid state physics | Rigidity | Relativistic particles | Curvature
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 12/2015, Volume 92, Issue 12
We obtain Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations of a rotating body with given values of spin and momentum starting from Lagrangian action... 
GENERAL-RELATIVITY | SPACE-TIME | ASTRONOMY & ASTROPHYSICS | DYNAMICS | BODIES | FORMALISM | FRENKEL ELECTRON | SPINNING TEST PARTICLES | PHYSICS, PARTICLES & FIELDS | Formulations | Gravitation | Particle spin | Integrals | Mathematical analysis | Rotating bodies | Emergence | Cosmology
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 01/2013, Volume 28, Issue 1, p. 1250234
We propose Lagrangian formulation for the particle with value of spin fixed within the classical theory. The Lagrangian is invariant under non-Abelian group of... 
Bargmann-Michel-Telegdi equation | Theories with constraints | Frenkel equation | Semiclassical description of relativistic spin | ELECTRON | GENERAL-RELATIVITY | PHYSICS, NUCLEAR | ELECTROMAGNETIC-FIELD | SPINNING-PARTICLE | PHYSICS, MATHEMATICAL | theories with constraints | POLARIZATION | PHYSICS, PARTICLES & FIELDS
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 03/2014, Volume 29, Issue 10, p. 1450048
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 2013, Volume 411, Issue 1, pp. 12011 - 7
We describe geometric construction underlying the Lagrangian actions for non-Grassmann spinning particles proposed in our recent works. If we discard the... 
Bundling | Construction | Brackets | Frozen | Dynamical systems | Manifolds (mathematics) | Standards | Fibers
Conference Proceeding
EUROPEAN PHYSICAL JOURNAL C, ISSN 1434-6044, 10/2014, Volume 74, Issue 10, pp. 1 - 18
We construct a relativistic spinning-particle Lagrangian where spin is considered as a composite quantity constructed on the base of a non-Grassmann... 
ROTATION | SPACE | PARTICLES | ZITTERBEWEGUNG | FERMION | DYNAMICS | MODEL | QUANTIZATION | POLARIZATION | PHYSICS, PARTICLES & FIELDS | Usage | Quantum theory | Algebra | State vectors | Parametrization | Operators | Construction | Wavelengths | Dirac equation | Mathematical models | Formalism
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 08/2014, Volume 885, Issue 1, pp. 1 - 24
We present Lagrangian which implies both necessary constraints and dynamical equations for position and spin of relativistic spin one-half particle. The model... 
MOTION | MODELS | DYNAMICS | SPINNING PARTICLES | BODIES | FORMULATION | EQUATION | PHYSICS, PARTICLES & FIELDS | Magnetic fields | Analysis | Electromagnetism | Nuclear and High Energy Physics | High Energy Physics - Theory | Quantum Physics
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 07/2015, Volume 30, Issue 21, p. 1550101
Interaction of spin with electromagnetic field yields an effective metric along the world-line of spinning particle with anomalous magnetic moment. If we... 
Ultra-relativistic spinning particle | Frenkel-BMT equations | Papapetrou equations | DYNAMICS | PHYSICS, NUCLEAR | FRENKEL ELECTRON | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Physics - General Physics
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 10/2010, Volume 25, Issue 32, pp. 2769 - 2777
Reparametrization invariant dynamics on a sphere, being parametrized by angular momentum coordinates, represents an appropriate framework for semiclassical... 
nonrelativistic spin | Canonical quantization | non relativistic spin | PARTICLES | DYNAMICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS
Journal Article
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