scholarly journals THEORETICAL CORRELATION BETWEEN POSSIBLE EVIDENCES OF NEUTRINO CHIRAL OSCILLATIONS AND POLARIZATION MEASUREMENTS

2008 ◽  
Vol 23 (15) ◽  
pp. 1141-1150 ◽  
Author(s):  
A. E. BERNARDINI ◽  
M. M. GUZZO
Keyword(s):  
Magnetic Field ◽  
Neutrino Physics ◽  
External Magnetic Field ◽  
Dirac Equation ◽  
Wave Packet ◽  
Polarization Measurements ◽  
Quantum Numbers ◽  
Conversion Rates ◽  
Type Particle ◽  
Physical Quantities

Reporting about the formalism with the Dirac equation we describe the dynamics of chiral oscillations for a fermionic particle non-minimally coupling with an external magnetic field. For massive particles, the chirality and helicity quantum numbers represent different physical quantities of representative importance in the study of chiral interactions, in particular, in the context of neutrino physics. After solving the interacting Hamiltonian (Dirac) equation for the corresponding fermionic Dirac-type particle (neutrino) and quantifying chiral oscillations in the Dirac wave packet framework, we avail the possibility of determining realistic neutrino chirality conversion rates by means of (helicity) polarization measurements. We notice that it can become feasible for some particular magnetic field configurations with large values of B orthogonal to the direction of the propagating particle.

scholarly journals NONCOMMUTATIVE GRAPHENE

2013 ◽  
Vol 28 (16) ◽  
pp. 1350064 ◽  
Author(s):  
CATARINA BASTOS ◽  
ORFEU BERTOLAMI ◽  
NUNO COSTA DIAS ◽  
JOÃO NUNO PRATA
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dirac Equation ◽  
Energy Levels ◽  
Dirac Fermions ◽  
Two Dimensional ◽  
Dirac System ◽  
Noncommutative Parameter

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that, being a two-dimensional Dirac system, graphene is particularly interesting to test noncommutativity. We find that momentum noncommutativity affects the energy levels of graphene and we obtain a bound for the momentum noncommutative parameter.

scholarly journals Dynamic control of spin-wave propagation

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Jan-Niklas Toedt ◽  
Wolfgang Hansen
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
External Magnetic Field ◽  
Wave Packet ◽  
Spin Wave ◽  
Wave Packets ◽  
Dynamic Control ◽  
Temporal Inhomogeneity

AbstractIn this work we present a method to dynamically control the propagation of spin-wave packets. By altering an external magnetic field the refraction of the spin wave at a temporal inhomogeneity is enabled. Since the inhomogeneity is spatially invariant, the spin-wave impulse remains conserved while the frequency is shifted. We demonstrate the stopping and rebound of a traveling Backward-Volume type spin-wave packet.

The spin–Peierls transition of the X–Y model in a magnetic field

1979 ◽  
Vol 57 (4) ◽  
pp. 508-513 ◽  
Author(s):  
C. Tannous ◽  
A. Caillé
Keyword(s):  
Magnetic Field ◽  
Transition Temperature ◽  
External Magnetic Field ◽  
Specific Heat ◽  
One Dimensional ◽  
Peierls Transition ◽  
Physical Quantities

The dependence of the spin–Peierls transition temperature Tc on an external magnetic field H is investigated for the quasi-one-dimensional (1D) X–Y model. Physical quantities such as the specific heat and susceptibility are evaluated for the spin–Peierls transition in a magnetic field in view of direct comparison with future experiments.

scholarly journals On the (2 + 1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty

2015 ◽  
Vol 24 (02) ◽  
pp. 1550016 ◽  
Author(s):  
P. Pedram ◽  
M. Amirfakhrian ◽  
H. Shababi
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Dirac Equation ◽  
General Solution ◽  
Harmonic Oscillator ◽  
Constant Magnetic Field ◽  
Minimal Length ◽  
Two Dimensional ◽  
Quantum Numbers ◽  
Dirac Hamiltonian

In this paper, we exactly solve the (2 + 1)-dimensional Dirac equation in a constant magnetic field in the presence of a minimal length. Using a proper ansatz for the wave function, we transform the Dirac Hamiltonian into two two-dimensional nonrelativistic harmonic oscillator and obtain the solutions without directly solving the corresponding differential equations which are presented by Menculini et al. [Phys. Rev. D 87 (2013) 065017]. We also show that Menculini et al. solution is a subset of the general solution which is related to the even quantum numbers.

Dirac equation with vector and scalar cornell potentials and an external magnetic field

2013 ◽  
Vol 525 (12) ◽  
pp. 944-950 ◽  
Author(s):  
Hassan Hassanabadi ◽  
Elham Maghsoodi ◽  
Saber Zarrinkamar
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dirac Equation

scholarly journals Interplay between field-induced and frustration-induced quantum criticalities in the frustrated two-leg Heisenberg ladder

2008 ◽  
Vol 86 (9) ◽  
pp. 1125-1132 ◽  
Author(s):  
B Ramakko ◽  
M Azzouz
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
External Magnetic Field ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Susceptibility ◽  
The Other ◽  
Wigner Transformation ◽  
75.10 Jm ◽  
Physical Quantities

The antiferromagnetic Heisenberg two-leg ladder in the presence of frustration and an external magnetic field is a system that is characterized by two sorts of quantum criticalities, not only one. One criticality is the consequence of intrinsic frustration, and the other one is a result of the external magnetic field. So the behaviour of each of them in the presence of the other deserves to be studied. Using the Jordan–Wigner transformation in dimensions higher than one and the bond-mean-field theory we examine the interplay between the field-induced and frustration-induced quantum criticalities in this system. The present work could constitute a prototype for those systems showing multiple, perhaps sometimes competing, quantum criticalities. We calculate several physical quantities such as magnetization and spin susceptibility as functions of field and temperature.PACS Nos.: 75.10.Jm 73.43.Nq 75.10.Pq 75.10.Dg

scholarly journals Dark and grey electromagnetic electron-cyclotron envelope solitons in an electron-positron magnetoplasma

2009 ◽  
Vol 75 (5) ◽  
pp. 575-580 ◽  
Author(s):  
P. K. SHUKLA ◽  
R. BINGHAM ◽  
A. D. R. PHELPS ◽  
L. STENFLO
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Wave ◽  
External Magnetic Field ◽  
Wave Packet ◽  
Electron Cyclotron ◽  
Envelope Soliton ◽  
Circularly Polarized ◽  
Envelope Solitons ◽  
Electron Positron ◽  
Cubic Nonlinear Schrödinger Equation

AbstractWe present an investigation of the amplitude modulation of an external magnetic field-aligned right-hand circularly polarized electromagnetic electron-cyclotron (EMEC) wave in a strongly magnetized electron-positron plasma. It is shown that the dynamics of the modulated EMEC wave packet is governed by a cubic nonlinear Schrödinger equation. The latter reveals that a modulated wave packet can propagate in the form of either a dark or a grey envelope soliton. This result could have relevance to the transport of electromagnetic wave energy over long distances via envelope solitons in the magnetospheres of pulsars and magnetars.

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