Many-particle systems: III Determination of the Ground State Energy of a System ofNParticles interacting by Attractive Inverse Square Forces

1962 ◽  
Vol 79 (4) ◽  
pp. 819-820 ◽  
Author(s):  
H R Post
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Particle Systems

scholarly journals Direct Calculation of Natural Orbitals of Two-Electron Systems

1985 ◽  
Vol 40 (10) ◽  
pp. 995-997
Author(s):  
Heinz Kleindienst ◽  
Kai Rossen
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Direct Calculation ◽  
Electron System ◽  
Integrodifferential Equations ◽  
Electron Systems ◽  
Natural Orbitals ◽  
System Of Integrodifferential Equations

A new method is proposed, which allows for the determination of the ground state energy and the natural orbitals (NO's) of a two-electron system directly and simultaneously. The basis for this calculation is a system of integrodifferential-equations, which defines those NO's.

Electron ground state energy level determination of ZnSe self-organized quantum dots embedded in ZnS

2003 ◽  
Vol 93 (9) ◽  
pp. 5325-5330 ◽  
Author(s):  
L. W. Lu ◽  
C. L. Yang. ◽  
J. Wang ◽  
I. K. Sou ◽  
W. K. Ge
Keyword(s):  
Quantum Dots ◽  
Energy Level ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Self Organized ◽  
Electron Ground State

scholarly journals New possibilities of harmonic oscillator basis application for calculation of the ground state energy of a Coulomb non-identical three-particle system

2017 ◽  
Vol 57 (2) ◽  
Author(s):  
Algirdas Deveikis
Keyword(s):  
Harmonic Oscillator ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Particle System ◽  
Traditional Approach ◽  
Expansion Method ◽  
Particle Systems ◽  
Oscillator Basis ◽  
Oscillator Length

A new harmonic oscillator (HO) expansion method for calculation of the non-relativistic ground state energy of the Coulomb non-identical three-particle systems is presented. The HO expansion basis with different size parameters in the Jacobi coordinates instead of only one unique oscillator length parameter in the traditional treatment is introduced. This method is applied to calculate the ground state energy of a number of Coulomb three-particle systems for up to 28 excitation HO quanta. The obtained results suggest that the HO basis with different size parameters in the Jacobi coordinates could lead to significant increasing of the rate of convergence for the ground state energy than in the traditional approach.

Determination of lifetime and ground-state energy of 8Be by α-α elastic scattering at 184 keV

1966 ◽  
Vol 20 (1) ◽  
pp. 43-45 ◽  
Author(s):  
J. Benn ◽  
E.B. Dally ◽  
H.H. Muller ◽  
R.E. Pixley ◽  
H.H. Staub ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

Ground state energy of almost periodic Schrödinger operators

1999 ◽  
Vol 19 (3) ◽  
pp. 591-609
Author(s):  
E. B. DAVIES
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Schrödinger Operators ◽  
Chaotic Behaviour ◽  
Schrodinger Operators ◽  
Numerical Determination ◽  
Almost Periodic ◽  
Periodic Schrödinger Operator

The numerical determination of the bottom of the spectrum of a discrete almost periodic Schrödinger operator involves finding the transition to chaotic behaviour of a certain dynamical map on the torus.

The ground state energy of the ±J spin glass from the genetic algorithm

1994 ◽  
Vol 4 (9) ◽  
pp. 1281-1285 ◽  
Author(s):  
P. Sutton ◽  
D. L. Hunter ◽  
N. Jan
Keyword(s):  
Genetic Algorithm ◽  
Spin Glass ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

POLARON IN A QUANTUM DOT UNDER AN ELECTRIC FIELD

2007 ◽  
Vol 21 (24) ◽  
pp. 1635-1642
Author(s):  
MIAN LIU ◽  
WENDONG MA ◽  
ZIJUN LI
Keyword(s):  
Quantum Dot ◽  
Electric Field ◽  
Field Intensity ◽  
Ground State Energy ◽  
Ground State ◽  
Electric Field Intensity ◽  
State Energy ◽  
Theoretical Study ◽  
The Moment ◽  
Transformation Methods

We conducted a theoretical study on the properties of a polaron with electron-LO phonon strong-coupling in a cylindrical quantum dot under an electric field using linear combination operator and unitary transformation methods. The changing relations between the ground state energy of the polaron in the quantum dot and the electric field intensity, restricted intensity, and cylindrical height were derived. The numerical results show that the polar of the quantum dot is enlarged with increasing restricted intensity and decreasing cylindrical height, and with cylindrical height at 0 ~ 5 nm , the polar of the quantum dot is strongest. The ground state energy decreases with increasing electric field intensity, and at the moment of just adding electric field, quantum polarization is strongest.

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