scholarly journals DOUBLE-WAVE FUNCTION DESCRIPTION FOR THE MOTION OF CHARGED PARTICLE IN BOTH UNIF ORM MAGNETIC FIELD AND THREE-DIMENSIONAL HARMONIC OSCILLATOR POTENTIAL FIELD

2000 ◽  
Vol 49 (7) ◽  
pp. 1211
Author(s):  
WU QI-XUE
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Charged Particle ◽  
Harmonic Oscillator ◽  
Potential Field ◽  
Three Dimensional ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential

GROUND STATE OF N HARMONICALLY BOUND ANYONS IN A MAGNETIC FIELD

1992 ◽  
Vol 07 (38) ◽  
pp. 3593-3600
Author(s):  
R. CHITRA
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Harmonic Oscillator ◽  
Ground State ◽  
Harmonic Frequency ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Thomas Fermi ◽  
Large N ◽  
The Magnetic Field

The properties of the ground state of N anyons in an external magnetic field and a harmonic oscillator potential are computed in the large-N limit using the Thomas-Fermi approximation. The number of level crossings in the ground state as a function of the harmonic frequency, the strength and the direction of the magnetic field and N are also studied.

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.

SUPERSYMMETRY AND ACCIDENTAL DEGENERACY

1987 ◽  
Vol 02 (06) ◽  
pp. 391-395 ◽  
Author(s):  
P. CELKA ◽  
V. HUSSIN
Keyword(s):  
Harmonic Oscillator ◽  
Three Dimensional ◽  
Quantum Mechanical ◽  
General Context ◽  
Supersymmetric Model ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Accidental Degeneracy ◽  
Model Hamiltonians

Accidental degeneracies are explained as arising from an underlying supersymmetry associated with the superalgebra osp (2/2, ℝ)⊕ so (3) when the quantum-mechanical potential is a general superposition of a three-dimensional harmonic oscillator potential, a 1/r2-potential and a constant one. Recent supersymmetric model hamiltonians are discussed within our general context.

DYNAMICAL SUPERSYMMETRY AND SOLUTIONS FOR PAULI HAMILTONIANS

1993 ◽  
Vol 08 (09) ◽  
pp. 827-836 ◽  
Author(s):  
JEAN-GUY DEMERS
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Harmonic Oscillator ◽  
Point Particle ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Relative Coordinate ◽  
Charged Point

A charged point particle interacting with a vortex in 2+1 dimensions (or the relative coordinate of two anyons) possesses a dynamical so(2, 1) symmetry that can be exploited to solve for the case when an external harmonic oscillator potential is added. Moreover, if the particle carries spin 1/2, its interaction with the vortex exhibits a dynamical spl*(2, 1) supersymmetry, which can be imported to the cases where a harmonic oscillator or an external magnetic field is present. Using this supersymmetry, the corresponding Pauli Hamiltonians can be solved algebraically.

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