Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields

1976 ◽  
Vol 14 (6) ◽  
pp. 2239-2249 ◽  
Author(s):  
Douglas R. Hofstadter
Keyword(s):  
Magnetic Fields ◽  
Energy Levels ◽  
Wave Functions ◽  
Bloch Electrons

Dirac Bound States of the Killingbeck Potential Under External Magnetic Fields

2015 ◽  
Vol 70 (7) ◽  
pp. 499-505 ◽  
Author(s):  
Zahra Sharifi ◽  
Fateme Tajic ◽  
Majid Hamzavi ◽  
Sameer M. Ikhdair
Keyword(s):  
Wave Function ◽  
Magnetic Fields ◽  
Ground State ◽  
Bound States ◽  
State Energy ◽  
Potential Model ◽  
Energy Levels ◽  
Energy Eigenvalue ◽  
Wave Functions ◽  
Ansatz Method

AbstractThe Killingbeck potential model is used to study the influence of the external magnetic and Aharanov–Bohm (AB) flux fields on the splitting of the Dirac energy levels in a 2+1 dimensions. The ground state energy eigenvalue and its corresponding two spinor components wave functions are investigated in the presence of the spin and pseudo-spin symmetric limit as well as external fields using the wave function ansatz method.

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

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

PERTURBATION THEORY FOR THE BLOCH ELECTRONS ON STRONGLY COUPLED CHAINS IN BOTH UNIFORM ELECTRIC AND MAGNETIC FIELDS

1992 ◽  
Vol 06 (18) ◽  
pp. 3057-3068 ◽  
Author(s):  
XIAN-GENG ZHAO ◽  
SHI-GANG CHEN
Keyword(s):  
Perturbation Theory ◽  
Energy Spectrum ◽  
Magnetic Fields ◽  
Magnetic Field Dependence ◽  
Tight Binding ◽  
Wave Functions ◽  
Strongly Coupled ◽  
Electric And Magnetic Fields ◽  
Bloch Electrons ◽  
The Magnetic Field

The energy spectrum and the wave functions for a tight-binding Bloch electron on coupled chains under the action of both uniform electric and magnetic fields are studied in detail. Exact results are obtained for the case when the coupling between chains is large by using the perturbation theory, from which it is found that the spectrum is that of two interspaced Stark ladders. The magnetic field dependence of the energy spectrum is also discussed.

scholarly journals Temperature-Induced Plasmon Excitations for the α–T3 Lattice in Perpendicular Magnetic Field

Nanomaterials ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 1720
Author(s):  
Antonios Balassis ◽  
Godfrey Gumbs ◽  
Oleksiy Roslyak
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Zeeman Splitting ◽  
Mass Term ◽  
Energy Dispersive Spectrum ◽  
Wave Functions ◽  
Transition Energies ◽  
Gap Opening ◽  
Quantizing Magnetic Field

We have investigated the α–T3 model in the presence of a mass term which opens a gap in the energy dispersive spectrum, as well as under a uniform perpendicular quantizing magnetic field. The gap opening mass term plays the role of Zeeman splitting at low magnetic fields for this pseudospin-1 system, and, as a consequence, we are able to compare physical properties of the the α–T3 model at low and high magnetic fields. Specifically, we explore the magnetoplasmon dispersion relation in these two extreme limits. Central to the calculation of these collective modes is the dielectric function which is determined by the polarizability of the system. This latter function is generated by transition energies between subband states, as well as the overlap of their wave functions.

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 Intercombination Transitions between Levels X1Σg+ and A 3Πu in C2

1987 ◽  
Vol 120 ◽  
pp. 103-105
Author(s):  
J. Le Bourlot ◽  
E. Roueff
Keyword(s):  
Transition Probabilities ◽  
Energy Levels ◽  
Wave Functions ◽  
Spin Orbit Coupling ◽  
Energy Matrix ◽  
First Order ◽  
Emission Transition ◽  
Intercombination Transition ◽  
The One ◽  
Potential Curves

We present a new calculation of intercombination transition probabilities between levels X1Σg+ and a 3Πu of the C2 molecule. Starting from experimental energy levels, we calculate RKR potential curves using Leroy's Near Dissociation Expansion (NDE) method; these curves give us wave functions for all levels of interest. We then compute the energy matrix for the four lowest states of C2, taking into account Spin-Orbit coupling between a 3Πu and A 1Πu on the one hand and X 1Σ+g and b 3Σg− on the other. First order wave functions are then derived by diagonalization. Einstein emission transition probabilities of the Intercombination lines are finally obtained.

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