Hydrogen atoms in the presence of a homogeneous magnetic field: a variational approach

1978 ◽  
Vol 56 (12) ◽  
pp. 1545-1548 ◽  
Author(s):  
H. S. Brandi ◽  
Belita Koiller
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Excited States ◽  
Three Dimensional ◽  
Homogeneous Magnetic Field ◽  
Basis Functions ◽  
Variational Parameter ◽  
Hydrogen Atoms ◽  
Wide Range ◽  
Free Hydrogen

We propose a variational scheme to obtain the spectrum of the hydrogen atom in the presence of an external homogeneous magnetic field. We use two different sets of basis functions to diagonalize the Hamiltonian describing the system, namely, the eigenfunctions of the free hydrogen atom and of the three-dimensional harmonic oscillator, both having their radial coordinates properly scaled by a variational parameter. Because of its characteristics, the present approach is suited to describe the ground state as well as an infinite number of excited states for a wide range of magnetic field strengths.

scholarly journals Highly excited states of a hydrogen atom in a strong magnetic field

1983 ◽  
Vol 28 (1) ◽  
pp. 7-21 ◽  
Author(s):  
J. B. Delos ◽  
S. K. Knudson ◽  
D. W. Noid
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Strong Magnetic Field ◽  
Excited States

scholarly journals Numerical 3-D Simulations of the Collapse of Photospheric Flux Tubes

1983 ◽  
Vol 102 ◽  
pp. 79-83
Author(s):  
Ake Nordlund
Keyword(s):  
Magnetic Field ◽  
Three Dimensional ◽  
Homogeneous Magnetic Field ◽  
Weak Field ◽  
Small Scale ◽  
Back Reaction ◽  
Three Dimensional Model ◽  
Flux Tubes ◽  
Weak Field Limit ◽  
Dynamic Description

The interaction of photospheric granular convection with a small scale magnetic field has been simulated numerically in a three-dimensional model, with an extension of techniques recently used to simulate field-free granulation. The evolution of an initially homogeneous magnetic field was followed numerically, both in a kinematic (weak-field limit) description, and in a dynamic description, where the back-reaction of the field on the motion through the Lorentz force is taken into account. The simulations illustrate the strong tendency for the field to be swept up and concentrated in the inter-granular lanes because of the topology of the granular flow. The convectively unstable stratification allows field concentration up to a kilogauss field because the temperature reduction in the magnetic plasma.

scholarly journals Magnetic Rayleigh–Taylor instability at a contact discontinuity with an oblique magnetic field

2020 ◽  
Vol 634 ◽  
pp. A96
Author(s):  
E. Vickers ◽  
I. Ballai ◽  
R. Erdélyi
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Dispersion Relation ◽  
Contact Discontinuity ◽  
Homogeneous Magnetic Field ◽  
Taylor Instability ◽  
Wide Range ◽  
Rayleigh Taylor Instability ◽  
The Magnetic Field ◽  
Theoretical Results

Aims. We investigate the nature of the magnetic Rayleigh–Taylor instability at a density interface that is permeated by an oblique homogeneous magnetic field in an incompressible limit. Methods. Using the system of linearised ideal incompressible magnetohydrodynamics equations, we derive the dispersion relation for perturbations of the contact discontinuity by imposing the necessary continuity conditions at the interface. The imaginary part of the frequency describes the growth rate of waves due to instability. The growth rate of waves is studied by numerically solving the dispersion relation. Results. The critical wavenumber at which waves become unstable, which is present for a parallel magnetic field, disappears because the magnetic field is inclined. Instead, waves are shown to be unstable for all wavenumbers. Theoretical results are applied to diagnose the structure of the magnetic field in prominence threads. When we apply our theoretical results to observed waves in prominence plumes, we obtain a wide range of field inclination angles, from 0.5° up to 30°. These results highlight the diagnostic possibilities that our study offers.

Research of influence of working area geometric dimensions on spatial distribution of magnetic field inside the matrix of a polygradient separator.

2020 ◽  
Vol 14 (1) ◽  
pp. 13-20
Author(s):  
І.О. ШВЕДЧИКОВА ◽  
◽  
Ю.А. РОМАНЧЕНКО ◽  
Keyword(s):  
Magnetic Field ◽  
Spatial Distribution ◽  
Magnetic Flux ◽  
Magnetic Induction ◽  
Software Package ◽  
Three Dimensional ◽  
Air Gap ◽  
Structural Variants ◽  
Wide Range ◽  
Electromagnetic Separator

The possibility of application of the Infolytica software package to solve the main tasks of work is substantiated. The computer 3D-model of electromagnetic separator was verified by solving of test problem. Comparison of results of magnetic induction research for characteristic points obtained during 3D modeling of electromagnetic separator with data obtained during experimental research showed a fairly high consistency. An analysis of geometric dimensions influence on distribution of magnetic field in a polygradient matrix was carried out for a random sampling containing three structural variants of an electromagnetic separator, the working air gap of which varies over a wide range. It is shown that determination of magnetic flux distribution for other structural variants of matrix that located inside sampling can be carried out by interpolation. For selected variants, three-dimensional computer models of electromagnetic separator are developed, their geometric characteristics and physical properties are described. A numerical-field analysis of magnetic field spatial distribution in working air gap of polygradient matrix of electromagnetic separator was carried out using Magnet module of Infolytica software package. For three three-dimensional models of electromagnetic system of separator, numerical values of magnetic induction and magnetic flux in working air gap of polygradient matrix in center of characteristic area are obtained. The obtained results for three models are compared and variant with rational parameters of working area of separator matrix is selected

scholarly journals 3-D Finite Element Investigation of Flux Regulation Performance of a Novel Hybrid Excitation Brushless Claw-Pole Alternator

2012 ◽  
Vol 614-615 ◽  
pp. 1226-1229
Author(s):  
Dong Wei Qiao ◽  
Xiu He Wang ◽  
Chang Qing Zhu
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Three Dimensional ◽  
Element Analysis ◽  
Wide Range ◽  
Hybrid Excitation ◽  
Field Control ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
Control Principle

In consideration of low power density of electric excitation claw-pole alternator (EECA) and some difficulties in magnetic field regulation of permanent magnet claw-pole alternator (PMCA), a novel hybrid excitation brushless claw-pole alternator (HEBCA) is proposed in this paper. Its structure and field control principle are described. Three dimensional finite element analysis is used to obtain the no-load magnetic field distributions and field control capability under different field currents. The result shows that the flux of the prototype machine can be adjusted over a wide range with a relatively low field current

scholarly journals Diagnostic of Astrophysical Plasma in Neighborhood of Neutron Stars

1998 ◽  
Vol 188 ◽  
pp. 277-278
Author(s):  
M. Mijatović ◽  
E.A. Solov'ev
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Neutron Stars ◽  
Strong Magnetic Field ◽  
Astrophysical Plasma ◽  
Hydrogen Atoms ◽  
Astronomical Object

If in the neighborhood of neutron stars exist clouds of hydrogen atoms, they are the natural astronomical object for realization of the model of hydrogen atom in a strong magnetic field ~ 108 T.

Effect of a homogeneous magnetic field on the electrospraying characteristics of sulfolane ferrofluids

2017 ◽  
Vol 833 ◽  
pp. 430-444 ◽  
Author(s):  
Aaron Madden ◽  
Juan Fernandez de la Mora ◽  
Nirmesh Jain ◽  
Hadi Sabouri ◽  
Brian Hawkett
Keyword(s):  
Magnetic Field ◽  
Homogeneous Magnetic Field ◽  
Rate Parameter ◽  
Ambient Conditions ◽  
Stabilization Mechanism ◽  
Wide Range ◽  
Electrical Conductivities ◽  
Magnetic Stabilization ◽  
Current Emission ◽  
Lower Voltage

We explore the effect of an applied homogeneous magnetic field on the electrospraying characteristics of a ferrofluid in the cone-jet mode. A sulfolane-based ferrofluid mixed with the ionic liquid ethyl ammonium nitrate has been synthesized. These mixtures have negligible volatility under ambient conditions and remain stable under a very wide range of electrical conductivities $K$. Magnetized Taylor cones spray with the same current emission characteristics as their non-magnetized counterparts in the shared voltage and flow rate parameter space. However, the magnetized Taylor cones studied remained stable at voltages 23 % lower than the non-magnetized spray; they also access flow rates 30 % and 40 % lower in ferrofluids with $K=0.3$ and $0.01~\text{S}~\text{m}^{-1}$. In the lower voltage ranges available only to magnetized tips, unusually long stable cones are observed. The magnetic stabilization mechanism responsible for these two effects remains unclear. It is noteworthy that these strong effects arise even when the tip curvature of the strictly magnetized liquid is orders of magnitude smaller than that for the strictly electrified liquid.

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