scholarly journals Hyperfine energy levels of alkali-metal dimers: Ground-state polar molecules in electric and magnetic fields

2008 ◽  
Vol 78 (3) ◽  
Author(s):  
J. Aldegunde ◽  
Ben A. Rivington ◽  
Piotr S. Żuchowski ◽  
Jeremy M. Hutson
Keyword(s):  
Magnetic Fields ◽  
Alkali Metal ◽  
Ground State ◽  
Energy Levels ◽  
Polar Molecules ◽  
Electric And Magnetic Fields

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.

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.

INFLUENCE OF BOTH ELECTRIC AND MAGNETIC FIELDS ON THE POLARON IN A CYLINDRICAL QUANTUM DOT

2004 ◽  
Vol 18 (20n21) ◽  
pp. 2887-2899 ◽  
Author(s):  
RUI-QIANG WANG ◽  
HONG-JING XIE ◽  
YOU-BIN YU
Keyword(s):  
Magnetic Fields ◽  
Quantum Dot ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Side Surface ◽  
Energy Shift ◽  
Longitudinal Optical ◽  
Electric And Magnetic Fields ◽  
The Magnetic Field

The polaronic correction to the ground-state energy of the electron confined in a cylindrical quantum dot (QD) subject to electric and magnetic fields along the growth axis has been investigated. Using a combinative approach of perturbative theory and variational wavefunction, calculations are performed for an infinitely deep confinement potential outside the QD within the effective mass and adiabatic approximation. We have treated the system by taking into consideration the interaction of the electron with the confined longitudinal optical (LO) phonons as well as the side surface (SSO) and the top surface (TSO) optical phonons.1,2 The ground-state energy shift is obtained as a function of the cylindrical radius and the strength of electric and magnetic fields. The results show that the magnetic field heavily enhances the three types of phonon mode contribution to the correction of the electron ground-state energy while the electric field only improves the contribution of surface phonons (SSO and TSO) but decreases the contribution of LO phonons.

scholarly journals GROUND-STATE ENERGY OF THE POLARON IN A QUANTUM WELL WITHIN CONS I ANT ELECTRIC AND MAGNETIC FIELDS

1994 ◽  
Vol 43 (1) ◽  
pp. 91
Author(s):  
HUANG ZHUO-HE ◽  
CHEN CHUAN-YU ◽  
CHEN ZHI-DE ◽  
ZHANG SHU-QUN
Keyword(s):  
Magnetic Fields ◽  
Quantum Well ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Electric And Magnetic Fields

scholarly journals One-Electron Conical Nanotube in External Electric and Magnetic Fields

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
L. F. Garcia ◽  
W. Gutiérrez ◽  
I. D. Mikhailov
Keyword(s):  
Dipole Moment ◽  
Magnetic Fields ◽  
Magnetic Dipole ◽  
Ground State ◽  
Magnetic Dipole Moment ◽  
Aperture Angle ◽  
Weak Electric Field ◽  
Hidden Symmetry ◽  
Electric And Magnetic Fields ◽  
Aharonov Bohm

The effects of variation of the aperture angle on spectral and magnetic properties of one-electron nanotube of the axially symmetrical conical shape in the presence of the electric and magnetic fields have been investigated based on a numerical solution of the Schrödinger equation in the effective mass approximation. We show that the energy spectrum and the magnetic dipole moment of the structure are changed dramatically with increase of the cone’s aperture angle due to the interplay between the diamagnetic and centrifugal forces, which push the electron at opposite directions. Particularly, the energy levels close to the ground state become quasi-degenerate, owing to a change of the hidden symmetry, induced by the magnetic field in this structure, when its morphology is converted from the cylindrical type to the conical one and the Aharonov-Bohm oscillations of the ground state energy and of the magnetic dipole moment are quenched. We found additionally that any weak electric field breaks this hidden symmetry, splits quasi-degenerate state, and restores the Aharonov-Bohm oscillations.

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