scholarly journals The Ground State Energy of Dilute Bose Gas in Potentials with Positive Scattering Length

2009 ◽  
Vol 295 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Jun Yin
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Scattering Length ◽  
Bose Gas ◽  
Dilute Bose Gas

scholarly journals TWO-DIMENSIONAL BOSE GAS AT LOW DENSITY

1993 ◽  
Vol 07 (15) ◽  
pp. 1029-1038 ◽  
Author(s):  
A.A. OVCHINNIKOV
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Scattering Length ◽  
Three Dimensional ◽  
Bose Gas ◽  
Dimensional System ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Three Dimensional System

We propose a new method to describe the interacting bose gas at zero temperature. For three-dimensional system, the correction to the ground state energy in density is reproduced. For the two-dimensional dilute bose gas, the ground state energy in the leading order in the parameter | ln α2ρ|−1, where α is a two-dimensional scattering length, is obtained.

scholarly journals GROUND-STATE ENERGY DENSITY OF A DILUTE BOSE GAS IN THE CANONICAL TRANSFORMATION

2007 ◽  
Vol 21 (32) ◽  
pp. 5309-5318
Author(s):  
SANG-HOON KIM ◽  
CHUL KU KIM ◽  
MUKUNDA P. DAS
Keyword(s):  
Energy Density ◽  
Excited States ◽  
Ground State Energy ◽  
Canonical Transformation ◽  
Ground State ◽  
Density Fluctuation ◽  
State Energy ◽  
Bose Gas ◽  
Dilute Bose Gas ◽  
Gas System

The ground-state energy density of an interacting dilute Bose gas system is studied in the canonical transformation scheme. It is shown that the transformation scheme enables us to calculate a higher order correction of order na3 in the particle depletion and ground-state energy density of a dilute Bose gas system, which corresponds to the density fluctuation resulting from the excited states. Considering a two-body interaction only, the coefficient of the na3 term is shown to be 2(π-8/3) for the particle depletion, and 16(π-8/3) for the ground-state energy density.

scholarly journals Ground-state energy of a low-density Bose gas: A second-order upper bound

2008 ◽  
Vol 78 (5) ◽  
Author(s):  
László Erdős ◽  
Benjamin Schlein ◽  
Horng-Tzer Yau
Keyword(s):  
Ground State Energy ◽  
Upper Bound ◽  
Ground State ◽  
State Energy ◽  
Bose Gas ◽  
Second Order ◽  
Low Density

scholarly journals Ground State Energy of the Low Density Bose Gas

1998 ◽  
Vol 80 (12) ◽  
pp. 2504-2507 ◽  
Author(s):  
Elliott H. Lieb ◽  
Jakob Yngvason
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Bose Gas ◽  
Low Density
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