Static correlation functions in the ground-state of a coupled electron-phonon quantum wire

2021 ◽  
Author(s):  
Devi Puttar ◽  
Vishal Verma ◽  
Vinayak Garg ◽  
R. K. Moudgil
Keyword(s):  
Ground State ◽  
Correlation Functions ◽  
Quantum Wire ◽  
Static Correlation

THE ANGULAR MOMENTUM DEPENDENT CALCULATION OF THE GROUND STATE ENERGY OF LIQUID 3He

2005 ◽  
Vol 19 (30) ◽  
pp. 1793-1802 ◽  
Author(s):  
M. MODARRES
Keyword(s):  
Angular Momentum ◽  
Ground State Energy ◽  
Ground State ◽  
Correlation Functions ◽  
State Energy ◽  
Interatomic Potentials ◽  
Channel Correlation ◽  
P Waves ◽  
Effective Interactions ◽  
Three Body

We investigate the possible angular momentum, l, dependence of the ground state energy of normal liquid 3 He . The method of lowest order constrained variational (LOCV) which includes the three-body cluster energy and normalization constraint (LOCVE) is used with angular momentum dependent two-body correlation functions. A functional minimization is performed with respect to each l-channel correlation function. It is shown that this dependence increases the binding energy of liquid 3 He by 8% with respect to calculations without angular momentum dependent correlation functions. The l=0 state has completely different behavior with respect to other l-channels. It is also found that the main contribution from potential energy comes from the l=1 state (p-waves) and the effect of l≥11 is less than about 0.1%. The effective interactions and two-body correlations in different channels are being discussed. Finally we conclude that this l-dependence can be verified experimentally by looking into the magnetization properties of liquid helium 3 and interatomic potentials.

LANDAU LEVELS AND VERTEX OPERATIONS FOR ANYONS

1991 ◽  
Vol 06 (30) ◽  
pp. 2819-2826 ◽  
Author(s):  
GERALD V. DUNNE ◽  
ALBERTO LERDA ◽  
CARLO A. TRUGENBERGER
Keyword(s):  
Magnetic Field ◽  
Angular Momentum ◽  
External Magnetic Field ◽  
String Theory ◽  
Ground State ◽  
Correlation Functions ◽  
Landau Levels ◽  
Vertex Operators ◽  
Many Body

We construct exact many-body eigenstates of both energy and angular momentum for the N-anyon problem in an external magnetic field. We show that such states span the full ground state eigenspace and arise as correlation functions of Fubini-Veneziano vertex operators of string theory.

scholarly journals Ground-state correlations in semiconductor double-quantum-wire systems

1997 ◽  
Vol 55 (11) ◽  
pp. 6697-6700 ◽  
Author(s):  
N. Mutluay ◽  
B. Tanatar
Keyword(s):  
Ground State ◽  
Quantum Wire ◽  
Double Quantum

Absence of ground state PLE peak in crescent-shaped AlGaAs/GaAs quantum wire superlattices

1998 ◽  
Vol 51 (1-3) ◽  
pp. 233-237 ◽  
Author(s):  
Xue-Lun Wang ◽  
Mutsuo Ogura ◽  
Hirofumi Matsuhata
Keyword(s):  
Ground State ◽  
Quantum Wire

Polarization effects in near-ground-state quantum wire lasers

2000 ◽  
Vol 77 (19) ◽  
pp. 2967-2969 ◽  
Author(s):  
Chris Percival ◽  
J. Woodhead ◽  
P. A. Houston ◽  
A. G. Cullis ◽  
G. Hill ◽  
...  
Keyword(s):  
Ground State ◽  
Quantum Wire ◽  
Polarization Effects
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