Ground State Energy Density in Smooth Background Fields

1996 ◽  
pp. 170-171
Author(s):  
Joachim Lindig ◽  
Michael Bordag
Keyword(s):  
Energy Density ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Background Fields

scholarly journals FIRST-ORDER QUANTUM CORRECTION TO THE GROUND-STATE ENERGY DENSITY OF TWO-DIMENSIONAL HARD-SPHERE BOSE ATOMS

2010 ◽  
Vol 24 (08) ◽  
pp. 1007-1019
Author(s):  
SANG-HOON KIM ◽  
MUKUNDA P. DAS
Keyword(s):  
Energy Density ◽  
Ground State Energy ◽  
Ground State ◽  
Hard Sphere ◽  
Quantum Correction ◽  
State Energy ◽  
Spatial Dimension ◽  
Effective Field ◽  
Two Dimensional ◽  
First Order

Divergence exponents of the first-order quantum correction of a two-dimensional hard-sphere Bose atoms are obtained by an effective field theory method. The first-order correction to the ground-state energy density with respect to the zeroth-order is given by [Formula: see text], where D is the spatial dimension, and γ is the gas parameter (γ = naD). As D →2, α = α′ = 1. We show that the first-order quantum correction of the energy density is not perturbative in low dimensions of D < 2.2 regardless of any gas parameter which is much less than unity.

High-Order Strong-Coupling Calculation of the Ground-State Energy Density in Supersymmetric Field Theory

1985 ◽  
Vol 54 (23) ◽  
pp. 2481-2484 ◽  
Author(s):  
Carl M. Bender ◽  
Paul H. Burchard ◽  
Ashok Das ◽  
Hwa-Aun Lim ◽  
Joel A. Shapiro
Keyword(s):  
Field Theory ◽  
Energy Density ◽  
Strong Coupling ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
High Order ◽  
Coupling Calculation

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.

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