scholarly journals Atomic hydrogen in a uniform magnetic field: Low-lying energy levels for fields above109G

1987 ◽  
Vol 35 (2) ◽  
pp. 647-656 ◽  
Author(s):  
Chih-Ray Liu ◽  
Anthony F. Starace
Keyword(s):  
Magnetic Field ◽  
Atomic Hydrogen ◽  
Uniform Magnetic Field ◽  
Energy Levels

scholarly journals Spin-1/2 Particles under the Influence of a Uniform Magnetic Field in the Interior Schwarzschild Solution

Universe ◽  
2021 ◽  
Vol 7 (12) ◽  
pp. 467
Author(s):  
Fayçal Hammad ◽  
Alexandre Landry ◽  
Parvaneh Sadeghi
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Total Mass ◽  
Uniform Magnetic Field ◽  
Energy Levels ◽  
Relativistic Wave Equation ◽  
Relativistic Wave ◽  
Schwarzschild Solution ◽  
Relativistic Regime ◽  
The Magnetic Field

The relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained. The fully relativistic regime is considered, and the energy levels occupied by the particles are derived as functions of the magnetic field, the radius of the massive sphere and the total mass of the latter. As no assumption is made on the relative strengths of the particles’ interaction with the gravitational and magnetic fields, the relevance of our results to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense, is discussed.

ENERGY LEVEL OF ELECTRON IN AN ANISOTROPIC QUANTUM DOT UNDER A MAGNETIC FIELD BY AN INVARIANT EIGENOPERATOR METHOD

2006 ◽  
Vol 20 (32) ◽  
pp. 5417-5425
Author(s):  
HONG-YI FAN ◽  
TONG-TONG WANG ◽  
YAN-LI YANG
Keyword(s):  
Magnetic Field ◽  
Energy Level ◽  
Quantum Dot ◽  
Harmonic Oscillator ◽  
Uniform Magnetic Field ◽  
Energy Levels ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Isotropic Harmonic Oscillator ◽  
Anisotropic Quantum Dot

We show that the recently proposed invariant eigenoperator method can be successfully applied to solving energy levels of electron in an anisotropic quantum dot in the presence of a uniform magnetic field (UMF). The result reduces to the energy level of electron in isotropic harmonic oscillator potential and in UMF naturally. The Landau diamagnetism decreases due to the existence of the anisotropic harmonic potential.

THE EFFECT OF A VARYING MAGNETIC FIELD ON THE DIRAC FERMION SPECTRUM OF GRAPHENE

2011 ◽  
Vol 25 (03) ◽  
pp. 365-370 ◽  
Author(s):  
M. R. SETARE ◽  
D. JAHANI
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Ground State ◽  
Uniform Magnetic Field ◽  
Energy Levels ◽  
Single Layer ◽  
The Other ◽  
Dirac Fermion ◽  
Zero Energy ◽  
Special Case

We examine the effect of a magnetic field that varies inversely as the square of distance on the Dirac fermion spectrum of graphene, a single layer of graphite. We find that unlike the case of the uniform magnetic field for which zero-energy modes exhibit half the degeneracy of the other levels in the energy spectrum, the ground state in this case, as well as the other energy levels, is doubly degenerate. We also get zero-energy solutions for the special case of ky = 0.

scholarly journals Sum rules for an atomic hyperfine structure in a magnetic field

2006 ◽  
Vol 84 (9) ◽  
pp. 801-811
Author(s):  
Savely G Karshenboim
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Hyperfine Structure ◽  
Uniform Magnetic Field ◽  
Sum Rules ◽  
Magnetic Moments ◽  
Energy Levels ◽  
Linear Combinations ◽  
Nuclear Magnetic Moments ◽  
The Magnetic Field

The sum rules for the energy levels of a hyperfine multiplet in a constant uniform magnetic field are presented. It is found that for any value of the electron angular moment and the nuclear spin there are certain linear combinations of energy levels that do not depend on the magnetic field and can be used to determine the unperturbed hyperfine-structure separation in the presence of a perturbing magnetic field. It is also demonstrated that there are other linear combinations that are linear with the external magnetic field and hence can be used to determine bound values of the electron and nuclear magnetic moments. The accuracy of the approximation within which the result is valid is also discussed.PACS Nos.: 32.10.Fn, 32.60.+i1

Atomic hydrogen in a uniform magnetic field

1982 ◽  
Vol 26 (3-4) ◽  
pp. 415-417 ◽  
Author(s):  
C.W. Clark ◽  
K.T. Taylor
Keyword(s):  
Magnetic Field ◽  
Atomic Hydrogen ◽  
Uniform Magnetic Field

EFFECT OF A CONSTANT UNIFORM MAGNETIC FIELD ON AN ELECTRON BOUND INTO A SINGULAR POTENTIAL

2006 ◽  
Vol 21 (15) ◽  
pp. 3171-3179 ◽  
Author(s):  
V. R. KHALILOV ◽  
F. KH. CHIBIROVA
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Energy Levels ◽  
Massive Particle ◽  
Bound State ◽  
Transcendental Equation ◽  
Electron Energy Spectrum ◽  
Probability Current ◽  
Spatial Dimensions ◽  
Approximate Wave

The behavior of an electrically charged massive particle (an electron) is studied in a constant uniform magnetic field and a single attractive λδ(r) potential. A simple transcendental equation that determines the electron energy spectrum is derived. The approximate wave function of a loosely bound state is constructed in a very simple form. The model under consideration makes it possible to study the effect of magnetic fields on a loosely bound electron. It is shown that the sizes of the electron localization region change and the probability current density arises when the electron is in the loosely bound state in the presence of a constant uniform magnetic field. The above current must involve (and exercise influence on) the electron scattering. The probability current resembles a stack of "pancake vortices" whose circulating (around the z-axes) "currents" are mostly confined within the plane z = 0 in the weak magnetic field. The equation for determining the energy levels of the electron states is obtained for the model under study in two spatial dimensions and the energy of the loosely bound state is found for the two-dimensional model.

A THEORETICAL INVESTIGATION OF THE NUCLEAR RESONANCE ABSORPTION SPECTRUM OF Al27 IN SPODUMENE

1953 ◽  
Vol 31 (6) ◽  
pp. 1010-1014 ◽  
Author(s):  
G. Lamarche ◽  
G. M. Volkoff
Keyword(s):  
Magnetic Field ◽  
Theoretical Investigation ◽  
Transition Matrix ◽  
Uniform Magnetic Field ◽  
Dimensionless Parameter ◽  
Energy Levels ◽  
Resonance Absorption ◽  
Matrix Elements ◽  
Transition Matrix Elements ◽  
The Magnetic Field

A theoretical investigation is presented of the energy levels of a nucleus of spin I = 5/2, a given magnetic moment μ, and electric quadruple moment eQ, placed in a uniform magnetic field H0, and a crystalline electrostatic potential [Formula: see text] without axial symmetry. The dependence of the energy levels, line frequencies, and transition matrix elements on the dimensionless parameter [Formula: see text] is calculated for Al27 for one orientation of a spodumene crystal in the magnetic field H0 over the interesting range of the parameter R linking up the pure quadrupole with the Zeeman spectrum. Other orientations of the crystal are discussed briefly.

Sign in / Sign up

Export Citation Format

Share Document