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.

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.

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

OPTICAL TRANSITIONS IN A PARABOLIC GaAs/Ga1-xAlxAs SUPERLATTICES

2001 ◽  
Vol 08 (03n04) ◽  
pp. 321-325
Author(s):  
ŞAKIR ERKOÇ ◽  
HATICE KÖKTEN
Keyword(s):  
Transition Matrix ◽  
Optical Transition ◽  
Matrix Elements ◽  
Electron States ◽  
Parabolic Potential ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Transition Matrix Elements ◽  
Scf Calculations

We have performed self-consistent field (SCF) calculations of the electronic structure of GaAs/Ga 1-x Al x As superlattices with parabolic potential profile within the effective mass theory. We have calculated the optical transition matrix elements involving transitions from the hole states to the electron states, and we have also computed the oscillator strength matrix elements for the transitions among the electron states.

scholarly journals Microscopic method for E0 transition matrix elements

2017 ◽  
Vol 95 (1) ◽  
Author(s):  
B. A. Brown ◽  
A. B. Garnsworthy ◽  
T. Kibédi ◽  
A. E. Stuchbery
Keyword(s):  
Transition Matrix ◽  
Matrix Elements ◽  
Microscopic Method ◽  
Transition Matrix Elements

Neutron and proton transition matrix elements and inelastic hadron scattering

1981 ◽  
Vol 103 (4-5) ◽  
pp. 255-258 ◽  
Author(s):  
A.M. Bernstein ◽  
V.R. Brown ◽  
V.A. Madsen
Keyword(s):  
Transition Matrix ◽  
Matrix Elements ◽  
Transition Matrix Elements

The stability of viscous flow in a curved channel in the presence of a magnetic field

1961 ◽  
Vol 264 (1317) ◽  
pp. 155-164 ◽  
Keyword(s):  
Magnetic Field ◽  
Viscous Flow ◽  
Uniform Magnetic Field ◽  
Axial Direction ◽  
Electrical Conductor ◽  
Curved Channel ◽  
Coaxial Cylinders ◽  
Transverse Pressure ◽  
The Stability ◽  
The Magnetic Field

The stability of viscous flow between two coaxial cylinders maintained by a constant transverse pressure gradient is considered when the fluid is an electrical conductor and a uniform magnetic field is impressed in the axial direction. The problem is solved and the dependence of the critical number for the onset of instability on the strength of the magnetic field and the coefficient of electrical conductivity of the fluid is determined.

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