INTEGRABLE TWO-PARAMETER MODEL OF THE FERMI GAS

1996 ◽  
Vol 10 (07) ◽  
pp. 287-292
Author(s):  
IGOR N. KARNAUKHOV
Keyword(s):  
Bethe Ansatz ◽  
Ground State ◽  
State Energy ◽  
Fermi Gas ◽  
Band Model ◽  
Conduction Electrons ◽  
Interband Interaction ◽  
Two Band Model ◽  
Two Parameter ◽  
Local Pairs

We present a two-band model of the gas of fermions consisting of a parabolic band of conduction electrons and a band of local pairs interacting via a δ-function interband interaction. The model is integrable and its solution has been obtained by means of the Bethe ansatz. The ground state energy and the density of conduction electrons have been calculated numerically.

Interband Effects in the Coherent Potential Approximation: Simple Two Band Model

1975 ◽  
Vol 53 (11) ◽  
pp. 1109-1113
Author(s):  
M. L. Glasser ◽  
P. R. Sievert
Keyword(s):  
Band Gap ◽  
Liquid Alloy ◽  
Band Model ◽  
Band Broadening ◽  
Potential Approximation ◽  
Binary Liquid Alloy ◽  
Binary Liquid ◽  
Interband Interaction ◽  
C 50 ◽  
Two Band Model

The CPA is applied to a two band separable pseudopotential model for a hot binary liquid alloy. The variation of the band gap with concentration is strictly linear, but the band broadening is found to be asymmetric about C = 50% and to depend in a complicated way on interband interaction.

GROUND STATE ENERGY LEVELS OF INDIUM ARSENIDE QUANTUM DOTS CALCULATED BY A SINGLE BAND EFFECTIVE MASS MODEL USING REPRESENTATIVE STRAINED INPUT PROPERTIES

2013 ◽  
Vol 27 (16) ◽  
pp. 1350120
Author(s):  
HYUNHO SHIN ◽  
JONG-BONG KIM
Keyword(s):  
Quantum Dots ◽  
Effective Mass ◽  
Indium Arsenide ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Energy Levels ◽  
Single Band ◽  
Hamiltonian Matrix ◽  
Band Model

Representative strained values of effective mass and potential of charge carriers in indium arsenide ( InAs ) quantum dots have been used as input to the complete orthonormal set approach of an effective-mass, single-band, and constant-potential model for the calculation of the ground state energy levels. Even with the avoidance of the diagonalization of the strain Hamiltonian matrix, the single-band-model-calculated ground state energy levels are reasonably refined by the use of representative strained values of potential and effective mass.

ULTRAVIOLET BEHAVIOR OF THE INTEGRABLE OFF-CRITICAL NON-UNITARY SERIES M3/q

1990 ◽  
Vol 05 (26) ◽  
pp. 2189-2195 ◽  
Author(s):  
P. CHRISTE ◽  
M. J. MARTINS
Keyword(s):  
High Temperature ◽  
Bethe Ansatz ◽  
Ground State ◽  
State Energy ◽  
Central Charge ◽  
Minimal Models ◽  
Perfect Agreement ◽  
Temperature Expansion ◽  
High Temperature Expansion ◽  
Higher Order Corrections

We discuss the ultraviolet behavior of the non-unitary M3/q (q = 5, 7) minimal models perturbed by the operator ϕ13. The Thermodynamic Bethe Ansatz is used to compute the central charge and the next higher order corrections in the high temperature expansion of the finite volume ground state energy. The results are in perfect agreement with perturbative calculations. Generalizations of these results are commented on.

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