Energy Levels of Bloch Electrons in Magnetic Fields

1971 ◽  
Vol 4 (8) ◽  
pp. 2833-2833
Author(s):  
H. H. Hosack ◽  
P. L. Taylor
Keyword(s):  
Magnetic Fields ◽  
Energy Levels ◽  
Bloch Electrons

Energy Levels of Bloch Electrons in Magnetic Fields

1971 ◽  
Vol 3 (12) ◽  
pp. 4091-4099 ◽  
Author(s):  
H. H. Hosack ◽  
P. L. Taylor
Keyword(s):  
Magnetic Fields ◽  
Energy Levels ◽  
Bloch Electrons

scholarly journals Tunneling spectroscopy of energy levels in wide quantum wells in tilted magnetic fields

1992 ◽  
Vol 45 (15) ◽  
pp. 8749-8751 ◽  
Author(s):  
C. Kutter ◽  
V. Chitta ◽  
J. C. Maan ◽  
V. I. Fal’ko ◽  
M. L. Leadbeater ◽  
...  
Keyword(s):  
Magnetic Fields ◽  
Quantum Wells ◽  
Energy Levels ◽  
Tunneling Spectroscopy

scholarly journals Bloch electrons in electric and magnetic fields

2000 ◽  
Vol 61 (15) ◽  
pp. 9879-9882 ◽  
Author(s):  
Alejandro Kunold ◽  
Manuel Torres
Keyword(s):  
Magnetic Fields ◽  
Electric And Magnetic Fields ◽  
Bloch Electrons

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.

Quantum chaos and statistical properties of energy levels for atom in parallel electric and magnetic fields

2015 ◽  
Vol 29 (35n36) ◽  
pp. 1550248
Author(s):  
Hai-Feng Yang ◽  
Yong-Gang Tan ◽  
Zhong-Li Liu ◽  
Hong-Zhi Fu
Keyword(s):  
Magnetic Fields ◽  
Quantum Chaos ◽  
Chaotic Dynamics ◽  
Nearest Neighbor ◽  
Energy Levels ◽  
Statistical Properties ◽  
The Core ◽  
Ideal System ◽  
Electric And Magnetic Fields ◽  
Diagonalization Method

In this paper, the statistical properties of energy levels are studied numerically for atom in parallel electric and magnetic fields, which is an ideal system to examine the contributions of external fields and ionic core to quantum chaos. The Stark maps of diamagnetic spectra and nearest neighbor spacing (NNS) distributions are obtained by diagonalization method incorporating core effect. We identify obvious level anti-crossing and large value of [Formula: see text] for barium, indicating that core effect has predominant contribution to chaotic dynamics in barium. To study the core effect in detail, we sweep the quantum defect artificially and find that larger core effect will undoubtedly induce stronger chaotic dynamics.

scholarly journals Discrete spectrum of many body Schrödinger operators with non-constant magnetic fields II

1997 ◽  
Vol 145 ◽  
pp. 69-98
Author(s):  
Tetsuya Hattori
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Discrete Spectrum ◽  
Bound States ◽  
Atomic System ◽  
Energy Levels ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Many Body ◽  
Discrete Energy

This paper is continuation from [10], in which we studied the discrete spectrum of atomic Hamiltonians with non-constant magnetic fields and, more precisely, we showed that any atomic system has only finitely many bound states, corresponding to the discrete energy levels, in a suitable magnetic field. In this paper we show another phenomenon in non-constant magnetic fields that any atomic system has infinitely many bound states in a suitable magnetic field.

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