Annals of Physics

article

Relativistic Transport Equations for Electromagnetic, Scalar, and Pseudoscalar Potentials

G.R. Shin, J. Rafelski

Annals of Physics > 1995 > 243 > 1 > 65-75

We propose a particular form of relativistic transport equations arising from the classical limit of single-time Wigner function for Dirac particles evolving in the presence of scalar, pseudoscalar, and electromagnetic fields. These relativistic Vlasov-type equations for the particle and the antiparticle sector of the Fock space can be also obtained assuming the validity of the Liouville's equation...

article

Crossover from Orthogonal to Unitary Symmetry for Ballistic Electron Transport in Chaotic Microstructures

Z. Pluhar, H.A. Weidenmuller, J.A. Zuk, C.H. Lewenkopf, more

Annals of Physics > 1995 > 243 > 1 > 1-64

We study the ensemble-averaged conductance as a function of applied magnetic field for ballistic electron transport across few-channel microstructures constructed in the shape of classically chaotic billiards. We analyse the results of recent experiments, which show suppression of weak localization due to magnetic field, in the framework of random-matrix theory. By analysing a random-matrix Hamiltonian...

article

Classical and Quantum Mechanics of Free κ-Relativistic Systems

J. Lukierski, H. Ruegg, W.J. Zakrzewski

Annals of Physics > 1995 > 243 > 1 > 90-116

We consider the Hamiltonian and Lagrangian formalism describing free κ-relativistic particles with their four-momenta constrained to the κ-deformed mass shell. We study the formalism with commuting as well as noncommuting (i.e., with nonvanishing Poisson brackets) space-time coordinates; in particular a κ-deformed phase space formalism leading to the κ-deformed covariant Heisenberg algebra is presented...

article

A Renormalization Group Flow Approach to Decoupling and Irrelevant Operators

C. Kim

Annals of Physics > 1995 > 243 > 1 > 117-143

Using Wilson-Polchinski renormalization group equations, we give a simple new proof of decoupling in a φ ⁴ -type scalar field theory involving two real scalar fields (one in heavy with mass M and the other light). Then, to all orders in perturbation theory, it is shown that effects of virtual heavy particles up to the order 1/M ² ^N ⁰ can be systematically incorporated into...

article

Superintegrable Systems: Polynomial Algebras and Quasi-Exactly Solvable Hamiltonians

P. Letourneau, L. Vinet

Annals of Physics > 1995 > 243 > 1 > 144-168

We present a study of non-relativistic superintegrable systems whose invariants are quadratic in the momenta. In two dimensions, there exist only two inequivalent classes of such systems. The symmetries responsible for the accidental degeneracies of those problems are investigated and shown to be best described in terms of polynomial algebras. We also determine the quasi-exactly solvable (QES) systems...

article

Faddeev-Jackiw Approach to Hidden Symmetries

C. Wotzasek

Annals of Physics > 1995 > 243 > 1 > 76-89

The study of hidden symmetries within Dirac's formalism does not possess a systematic procedure due to the lack of first-class constraints to act as symmetry generators. On the other hand, in the Faddeev-Jackiw approach, gauge and reparametrization symmetries are generated by the null eigenvectors of the sympletic matrix and not by constraints, suggesting the possibility of dealing systematically...

article

Multifractal Scaling at the Kolmogorov Microscale in Fully Developed Compressible Turbulence

B.K. Shivamoggi

Annals of Physics > 1995 > 243 > 1 > 177-191

In this paper, some aspects of multifractal scaling at the Kolmogorov microscale in fully developed compressible turbulence are considered. These considerations, on the one hand, provide an insight into the mechanism of compressible turbulence, and on the other hand enable one to determine the robustness of some known results in incompressible turbulence.

article

Multifractal Aspects of the Scaling Laws in Fully Developed Compressible Turbulence

B.K. Shivamoggi

Annals of Physics > 1995 > 243 > 1 > 169-176

In this paper, multifractal aspects of the scalings laws in fully developed compressible turbulence are considered. Compressibility effects on known results of incompressible turbulence are pointed out.

INFONA - science communication portal

Annals of Physics

Relativistic Transport Equations for Electromagnetic, Scalar, and Pseudoscalar Potentials

Crossover from Orthogonal to Unitary Symmetry for Ballistic Electron Transport in Chaotic Microstructures

Classical and Quantum Mechanics of Free κ-Relativistic Systems

A Renormalization Group Flow Approach to Decoupling and Irrelevant Operators

Superintegrable Systems: Polynomial Algebras and Quasi-Exactly Solvable Hamiltonians

Faddeev-Jackiw Approach to Hidden Symmetries

Multifractal Scaling at the Kolmogorov Microscale in Fully Developed Compressible Turbulence

Multifractal Aspects of the Scaling Laws in Fully Developed Compressible Turbulence

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