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We develop the classical and quantum theory of a spinning particle moving in a Mobius strip. We first propose a Lagrangian for such a system and then we proceed to quantize the system via the constraint Hamiltonian system formalism. Our…

Quantum Physics · Physics 2011-03-01 J. A. Nieto , R. Perez-Enriquez

The concept of elementary particle rests on the idea that it is a physical system with no excited states, so that all possible states of the particle are just kinematical modifications of any one of them. In this way instead of describing…

General Physics · Physics 2008-11-26 Martin Rivas

A countable set of superintegrable quantum mechanical systems is presented which admit the dynamical symmetry with respect to algebra so(4). This algebra is generated by the Laplace-Runge-Lenz vector generalized to the case of arbitrary…

Mathematical Physics · Physics 2014-01-10 A. G. Nikitin

In a previous work we showed that spin can be envisioned as living in a phase space that is dual to the standard phase space of position and momentum. In this work we demonstrate that the second class constraints inherent in this "Dual…

High Energy Physics - Theory · Physics 2016-12-05 Trevor Rempel , Laurent Freidel

Using the conservation laws for charge, energy, momentum, and angular momentum, we derive hydrodynamic equations for the charge density, local temperature, and fluid velocity, as well as for the spin tensor, starting from local equilibrium…

Nuclear Theory · Physics 2018-04-18 Wojciech Florkowski , Bengt Friman , Amaresh Jaiswal , Enrico Speranza

On the basis of Hamilton a formalism the dynamic equations of movement scalar charged particles in a classical scalar field are formulated. Unlike earlier published works of the author the model with zero own weight of particles is…

General Relativity and Quantum Cosmology · Physics 2013-07-09 Yu. G. Ignat'ev

Using Grassmann variant of classical mechanics, we construct Lagrangian dynamics of classical spinning particle in (possibly non-abelian) gauge fields. Quantization of this model is briefly discussed.

Mathematical Physics · Physics 2012-03-05 S. A. Pol'shin

Exploiting the azimuthal angle dependence of the density matrices we construct observables that directly measure the spin of a heavy unstable particle. A novelty of the approach is that the analysis of the azimuthal angle dependence in a…

High Energy Physics - Phenomenology · Physics 2009-07-22 Fawzi Boudjema , Ritesh K. Singh

Taking into account the helicity of a massless particle, which obeys a Dirac equation and is exposed to an electromagnetic field, one soon arrives at a Lagrangian containing a chiral supersymmetric operator. We can even achieve an analogous…

High Energy Physics - Phenomenology · Physics 2011-06-15 Tobias Gleim

We consider the motion of point particles in a strongly coupled field theory with broken translation invariance. We obtain the energy and momentum loss rates and drag coefficients for a class of such particles by solving for the motion of…

High Energy Physics - Theory · Physics 2020-03-06 Matteo Baggioli , Daniel K. Brattan

We study the classical electrodynamics of extended bodies. Currently, there is no self-consistent dynamical theory of such bodies in the literature. Electromagnetic energy-momentum is not conserved in the presence of charge and some…

Classical Physics · Physics 2021-09-14 P. D. Flammer

The classical dynamics of antisymmetric second-rank tensor matter fields is analyzed. The conformally invariant action for the tensor field leads to a positive-definite hamiltonian on the class of the solutions that are bounded at the time…

High Energy Physics - Theory · Physics 2010-01-05 L. V. Avdeev , M. V. Chizhov

We show that for massless helicity $h$ particles, the angular momentum eigenstates are given in an appropriate coordinate system by the spin-weighted spherical harmonics ${_{-h}Y_{jm}}$ of spin-weight $-h$. In particular, these are…

Mathematical Physics · Physics 2025-07-10 Eric Palmerduca , Hong Qin

A short review of special relativistic dynamics describing a particle acted upon by an arbitrary conservative external force is presented. If the mass of the particle is zero and the force is central then the equations of motion turn out to…

High Energy Physics - Theory · Physics 2007-05-23 Andreas Bette

Phenomena of rotation and oscillations of particle spin are discussed for particles rotating in storage ring. The fact that these effects are described by spin-dependent part of zero-angle scattering amplitude allows to use them for the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vladimir G. Baryshevsky

Here we obtain all possible second-order theories for a rank-2 tensor which describe a massive spin-2 particle. We start with a general second-order Lagrangian with ten real parameters. The absence of lower spin modes and the existence of…

High Energy Physics - Theory · Physics 2013-06-26 D. Dalmazi

We derive a collisionless kinetic theory for an ensemble of molecules undergoing nonholonomic rolling dynamics. We demonstrate that the existence of nonholonomic constraints leads to problems in generalizing the standard methods of…

Chaotic Dynamics · Physics 2013-02-26 Darryl D. Holm , Vakhtang Putkaradze , Cesare Tronci

We recently studied spin precession in various stationary and axisymmetric spacetimes and applied it to the case of neutrinos propagating in those spacetimes. In this paper, the study of spin precession is extended to the case of a spinning…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Reza Saadati , Fayçal Hammad

We study the dynamics of classical and quantum particles with spin and dipole moments in external fields within the framework of the general approach by making use of the projection technique. Applications include the neutrino physics in…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Yuri N. Obukhov

We present a phenomenological Lagrangian and Poisson brackets for obtaining nondissipative hydrodynamic theory of supersolids. A Lagrangian is constructed on the basis of unification of the principles of non-equilibrium thermodynamics and…

Statistical Mechanics · Physics 2009-02-17 A. S. Peletminskii
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