scholarly journals Bounding the ground-state energy of a many-body system with the differential method

2006 ◽  
Vol 765 (3-4) ◽  
pp. 319-341 ◽  
Author(s):  
Amaury Mouchet
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Differential Method ◽  
Body System ◽  
Many Body

EXACT MANY BODY FERMI-BOSE TRANSMUTATION IN 2+1 DIMENSIONS

1992 ◽  
Vol 06 (22) ◽  
pp. 3543-3553
Author(s):  
D.M. GAITONDE ◽  
SUMATHI RAO
Keyword(s):  
Gauge Field ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Mean Field ◽  
Scalar Interaction ◽  
Many Body ◽  
Ground State Wavefunction ◽  
The Many ◽  
Chern Simons

We show that the low energy limit of relativistic fermions interacting with a statistical gauge field also includes a scalar interaction. When the Chern-Simons (CS) parameter µ=e2/2π and the scalar interaction is precisely that which is obtained through relativistic reduction, the many-body Hamiltonian can be solved exactly, directly in the fermion gauge, for the ground state energy which is zero and the ground state wavefunction which is gauge equivalent to one, characteristic of free bosons. Conversely, for N bosons interacting with a CS gauge field with µ=e2/2π, the mean-field ground state energy is πN2/m, which is characteristic of N free fermions.

Many-body effects on the ground-state energy in semiconductor quantum wells

2004 ◽  
Vol 106 (2) ◽  
pp. 177-181
Author(s):  
M.R. Kim ◽  
C. Tong ◽  
S.K. Kim ◽  
M.S. Son ◽  
D.H. Shin ◽  
...  
Keyword(s):  
Quantum Wells ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Many Body ◽  
Semiconductor Quantum Wells ◽  
Many Body Effects

scholarly journals Analytic solution for the ground-state energy of the extensive many-body problem

1996 ◽  
Vol 54 (23) ◽  
pp. 16309-16312 ◽  
Author(s):  
Lloyd C. L. Hollenberg ◽  
N. S. Witte
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
Body Problem ◽  
State Energy ◽  
Analytic Solution ◽  
Many Body

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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