scholarly journals DYNAMICAL (SUPER)SYMMETRIES OF MONOPOLES AND VORTICES

2006 ◽  
Vol 18 (03) ◽  
pp. 329-347 ◽  
Author(s):  
P. A. HORVÁTHY
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field ◽  
Kepler Problem ◽  
Dynamical Symmetry ◽  
Magnetic Vortex ◽  
Supersymmetry Algebra ◽  
Dirac Monopole ◽  
The One ◽  
Kaluza Klein

The dynamical (super)symmetries for various monopole systems are reviewed. For a Dirac monopole, non-smooth Runge–Lenz vector can exist; there is, however, a spectrum-generating conformal o(2,1) dynamical symmetry that extends into osp(1/1) or osp(1/2) for spin 1/2 particles. Self-dual 't Hooft–Polyakov-type monopoles admit an su(2/2) dynamical supersymmetry algebra, which allows us to reduce the fluctuation equation to the spin 0 case. For large r, the system reduces to a Dirac monopole plus a suitable inverse-square potential considered before by McIntosh and Cisneros, and by Zwanziger in the spin 0 case, and to the "dyon" of D'Hoker and Vinet for spin 1/2. The asymptotic system admits a Kepler-type dynamical symmetry as well as a "helicity-supersymmetry" analogous to the one Biedenharn found in the relativistic Kepler problem. Similar results hold for the Kaluza–Klein monopole of Gross–Perry–Sorkin. For the magnetic vortex, the N = 2 supersymmetry of the Pauli Hamiltonian in a static magnetic field in the plane combines with the o(2) × o(2,1) bosonic symmetry into an o(2) × osp(1/2) dynamical superalgebra.

scholarly journals Adiabatic quantum estimation: A numerical study of the Heisenberg XX model with antisymmetric exchange

2020 ◽  
pp. 2040001
Author(s):  
L. Fathi Shadehi ◽  
H. Rangani Jahromi ◽  
M. Ghanaatian
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field ◽  
Numerical Study ◽  
Quantum Fisher Information ◽  
Spin Coupling ◽  
Azimuthal Direction ◽  
Qubit System ◽  
Polar Orientation ◽  
The One ◽  
Rotating Field

In this paper, we address the adiabatic technique for quantum estimation of the azimuthal orientation of a magnetic field. Exactly solving a model consisting of a two-qubit system, where one of which is driven by a static magnetic field while the other is coupled with the magnetic field rotating adiabatically, we obtain the analytical expression of the quantum Fisher information (QFI). We investigate how the two-qubit system can be used to probe the azimuthal direction of the field and analyze the roles of the intensities of the magnetic fields, Dzyaloshinskii–Moriya (DM) interaction, spin–spin coupling coefficient, and the polar orientation of the rotating field on the precision of the estimation. In particular, it is illustrated that the QFI trapping or saturation may occur if the qubit is subjected to a strong rotating field. Moreover, we discuss how the azimuthal direction of the rotating field can be estimated using only the qubit not affected by that field and investigate the conditions under which this strategy is more efficient than use of the qubit locally interacting with the adiabatically rotating field. Interestingly, in the one-qubit scenario, it was found that when the rotating field is weak, the best estimation is achieved by subjecting the probe to a static magnetic field.

KINETIC EQUATION FOR A PLASMA IN A STRONG STATIC MAGNETIC FIELD

1966 ◽  
Vol 44 (1) ◽  
pp. 247-254 ◽  
Author(s):  
M. K. Sundaresan
Keyword(s):  
Magnetic Field ◽  
Kinetic Equation ◽  
Strong Magnetic Field ◽  
Static Magnetic Field ◽  
Particle Distribution ◽  
Distribution Functions ◽  
Collision Term ◽  
The One ◽  
The Magnetic Field ◽  
Complete Account

The present work represents a significant improvement on our earlier work dealing with the formulation of a kinetic equation for a plasma in a "strong" static magnetic field B. Here without making any assumptions concerning the isotropy of the one- and two-particle distribution functions in the plane perpendicular to the magnetic field, a kinetic equation is derived in which the collision term is valid to all orders in 1/B and takes complete account of the effect of the strong magnetic field on the collisions.

Study on the Solidified Microstructures of AZ61 Magnesium Alloys under Electromagnetic Fields

2013 ◽  
Vol 331 ◽  
pp. 421-426
Author(s):  
Ying Hong Li ◽  
Bo Song ◽  
Ning Wang
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Fields ◽  
Static Magnetic Field ◽  
Alternating Current ◽  
Static Field ◽  
Magnesium Matrix ◽  
Optical Microstructure ◽  
Constituent Phase ◽  
The One ◽  
Equiaxed Grains

The solidified microstructures of AZ61 magnesium alloy under different electromagnetic fields were investigated. Optical microstructure revealed that the solidified microstructure of AZ61 under single static magnetic field and combination of static magnetic field and alternating current (AC) consisted of basically equiaxed grains; when the alloy solidified under static magnetic field and direct current (DC), dendrite in solidified microstructure increases with certain orientation. The constituent phase at grain boundary consists of mainly magnesium matrix and continuous cellular compound under the static field, and the one consists of mainly magnesium matrix, cellular and spotted Mg-Al-Zn intermetallic compound under the action of static magnetic field and combination of static magnetic field and alternating current, the continuous cellular structure disappears thoroughly under static magnetic field and DC, compound in magnesium matrix distributes in discontinuous lamellar state.

PHOTOPRODUCTION OF GRAVITONS AND DILATONS IN AN EXTERNAL ELECTROMAGNETIC FIELD

1991 ◽  
Vol 06 (25) ◽  
pp. 2315-2322
Author(s):  
HOANG NGOC LONG ◽  
LE KHAC HUONG
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Electric Field ◽  
Static Magnetic Field ◽  
Cross Sections ◽  
High Frequency ◽  
Numerical Evaluation ◽  
External Electromagnetic Field ◽  
The Creation ◽  
Kaluza Klein

An attempt is made to present experimental predictions of the Kaluza-Klein based models. We consider the creation of gravitons and dilatons by photons in an external electromagnetic field, namely in the electric field of a flat condenser and in the static magnetic field. The relation between the cross-sections of these two processes is given. A numerical evaluation shows that in the present technical scenario the creation of high frequency gravitons and dilatons may be indirectly observable.

Decreased chemotaxis of human peripheral phagocytes exposed to a strong static magnetic field

2004 ◽  
Vol 91 (1) ◽  
pp. 59-65 ◽  
Author(s):  
S Sipka ◽  
I Szöllősi ◽  
Gy Batta ◽  
Gy Szegedi ◽  
Á Illés ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field

Intense Static Magnetic Field Induced Bone Growth in Vivo

1984 ◽  
Vol 3 (1) ◽  
pp. 223-234
Author(s):  
Frank Papatheofanis ◽  
Bill Fapatheofanls ◽  
Robert Ray
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field ◽  
Bone Growth

ABOUT UNIFORMITY OF THE PHENOMENOLOGY AND THE MATHEMATICAL DESCRIPTION OF SO-CALLED « JOINED» ACTION OF HAZARDS AND COMBINED TOXICITY (ON THE EXAMPLE OF A COMBIBATION OF THE FLUORIDE AND THE STATIC MAGNETIC FIELD)

2016 ◽  
pp. 13-20
Author(s):  
B. A. Katsnelson ◽  
M. P. Sutunkova ◽  
N. A. Tsepilov ◽  
V. G. Panov ◽  
A. N. Varaksin ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field ◽  
Point Of View ◽  
Whole Body ◽  
Surface Model ◽  
Combined Toxicity ◽  
Fluoride Solution ◽  
Adverse Action ◽  
Biochemical Indices ◽  
And Control

Sodium fluoride solution was injected i.p. to three groups of rats at a dose equivalent to 0.1 LD50 three times a week up to 18 injections. Two out of these groups and two out of three groups were sham-injected with normal saline and were exposed to the whole body impact of a 25 mT static magnetic field (SMF) for 2 or 4 hr a day, 5 times a week. Following the exposure, various functional and biochemical indices were evaluated along with histological examination and morphometric measurements of the femur in the differently exposed and control rats. The mathematical analysis of the combined effects of the SMF and fluoride based on the a response surface model demonstrated that, in full correspondence with what we had previously found for the combined toxicity of different chemicals, the combined adverse action of a chemical plus a physical agent was characterized by a tipological diversity depending not only on particular effects these types were assessed for but on the dose and effect levels as well. From this point of view, the indices for which at least one statistically significant effect was observed could be classified as identifying (I) mainly single-factor action; (II) additive unidirectional action; (III) synergism (superadditive unidirectional action); (IV) antagonism, including both subadditive unidirectional action and all variants of contradirectional action.

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