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The paper describes a unique phenomenon -- the possibility of establishing, in certain space regions, the one-to-one correspondence between equations related to absolutely different physical phenomena: (1) phenomena associated with the Weyl…

General Relativity and Quantum Cosmology · Physics 2009-07-28 Mikhail Gorbatenko

A description of scalar charged particles, based on the Feshbach-Villars formalism, is proposed. Particles are described by an object that is a Wigner function in usual coordinates and momenta and a density matrix in the charge variable. It…

Quantum Physics · Physics 2009-11-07 B. I. Lev , A. A. Semenov , C. V. Usenko

Exposing a molecule to intense light pulses may bring this molecule to a nonstationary quantum state, thus launching correlated dynamics of electronic and nuclear subsystems. Although much had been achieved in the understanding of…

Chemical Physics · Physics 2024-04-11 Nikolay V. Golubev , Jiří Vaníček

The pseudoclassical hamiltonian and action of the $D=2n$ dimensional Dirac particle with anomalous magnetic moment interacting with the external Yang-Mills field are found. The Bargmann-Michel-Telegdi equation of motion for the…

High Energy Physics - Theory · Physics 2007-05-23 G. V. Grigoryan , R. P. Grigoryan , G. A. Sarkissian

Weyl quantization and related semiclassical techniques can be used to study conduction properties of crystalline solids subjected to slowly-varying, external electromagnetic fields. The case where the external magnetic field is constant, is…

Mathematical Physics · Physics 2015-08-18 Max Lein

By studying scattering Lie groups and their associated Lie algebras, we introduce a new method for the characterisation of collision invariants for physical scattering families associated to smooth, convex hard particles in the particular…

Mathematical Physics · Physics 2021-10-22 Mark Wilkinson

The standard model of particle physics is marvelously successful. However, it is obviously not a complete or final theory. I shall argue here that the structure of the standard model gives some quite concrete, compelling hints regarding…

High Energy Physics - Phenomenology · Physics 2009-10-28 Frank Wilczek

The Standard Model may be included within a supersymmetric theory, postulating new sparticles that differ by half-a-unit of spin from their standard model partners, and by a new quantum number called R-parity. The lightest one, usually a…

High Energy Physics - Phenomenology · Physics 2016-10-12 Pierre Fayet

Based on experimental evidences supporting the hypothesis that neutrinos might be spacelike particles, a new Dirac-type equation is proposed and a spin-1/2 spacelike quantum theory is developed. The new Dirac-type equation provides a…

Quantum Physics · Physics 2007-05-23 Tsao Chang

In this work we review and further develop the controversial concept of "classical entanglement" in optical beams. We present a unified theory for different kinds of light beams exhibiting classical entanglement and we indicate several…

Quantum Physics · Physics 2017-11-08 Andrea Aiello , Falk Töppel , Christoph Marquardt , Elisabeth Giacobino , Gerd Leuchs

Weyl semimetals have attracted significant interest in condensed matter physics and materials science, due to their unique electronic and topological properties. These characteristics not only deepen our understanding of fundamental quantum…

We describe both quantum particles and classical particles in terms of a classical statistical ensemble, characterized by a probability distribution in phase space. By use of a wave function in phase space both can be treated in the same…

Quantum Physics · Physics 2015-05-14 C. Wetterich

Here, we clarify the physical aspects between the discrete Weyl-Wigner (W-W) formalism, well developed in condensed matter physics, and the so-called 'precise Weyl-Wigner calculus for lattice models' recently appearing in the literature. We…

Quantum Physics · Physics 2021-03-19 Felix A. Buot

The canonical quantization of $D=2n$ dimensional Dirac spinning particle in the external electromagnetic field is carried out in the gauge which allows to describe simultaneously particles and antiparticles (massive and massless) already at…

High Energy Physics - Theory · Physics 2007-05-23 G. V. Grigoryan , R. P. Grigoryan

The Cauchy problem is revisited for the so-called relativistic Vlasov-Poisson system in the attractive case. Global existence and uniqueness of spherical classical solutions is proved under weaker assumptions than previously used. A new…

Mathematical Physics · Physics 2009-02-06 Michael K. -H. Kiessling , A. Shadi Tahvildar-Zadeh

We point out that the scalar Wick-Cutkosky model (with $\chi^2 \phi$ interaction) used in this study has been known for a long time to be unstable. However, the numerical results presented in this paper do not show any sign of this…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Rosenfelder , A. W. Schreiber

We discuss models that attempt to provide an explanation for the violation of Bell inequalities at a distance in terms of hidden influences. These models reproduce the quantum correlations in most situations, but are restricted to produce…

Quantum Physics · Physics 2014-10-20 Valerio Scarani , Jean-Daniel Bancal , Antoine Suarez , Nicolas Gisin

We construct a nonrelativistic wave equation for spinning particles in the noncommutative space (in a sense, a $\theta$-modification of the Pauli equation). To this end, we consider the nonrelativistic limit of the $\theta$-modified Dirac…

High Energy Physics - Theory · Physics 2010-12-16 T. C. Adorno , M. C. Baldiotti , D. M. Gitman

We survey some recent ideas and progress in looking for particle physics beyond the Standard Model, connected by the theme of Supersymmetry (SUSY). We review the success of SUSY-GUT models, the expected experimental signatures and present…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. Barger , R. J. N. Phillips

We have introduced recently a particles model with blocking and pushing interactions which is related to a Pieri type formula for the orthogonal group. This model has a symplectic version presented here.

Probability · Mathematics 2012-01-31 Manon Defosseux