scholarly journals Shape of the Ground State Energy Density of Hill’s Equation with Nice Gaussian Potential

2007 ◽  
Vol 21 (2) ◽  
pp. 413-430
Author(s):  
José A. Ramírez ◽  
Brian Rider
Keyword(s):  
Energy Density ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Hill’S Equation ◽  
Gaussian Potential ◽  
Hill's Equation

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

The effect of temperature on strong-coupling magnetopolaron in an asymmetrical Gaussian potential quantum well

2020 ◽  
Vol 34 (12) ◽  
pp. 2050114
Author(s):  
Xiu-Juan Miao ◽  
Yong Sun ◽  
Jing-Lin Xiao
Keyword(s):  
Magnetic Field ◽  
Quantum Well ◽  
Strong Coupling ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Cyclotron Frequency ◽  
Operator Method ◽  
Effect Of Temperature ◽  
Gaussian Potential

The influences of temperature and cyclotron frequency of a magnetic field on the ground state energy and mean number of phonons (MNP) of strong-coupling magnetopolarons in an asymmetric Gaussian potential quantum well(AGPQW) are researched by employing the linear-combination operator method and the unitary transformation. It was demonstrated through the numerical calculations that the ground state energy and the MNP increase with higher magnetic field cyclotron frequencies and temperature. In addition, increasing of the barrier of asymmetric Gaussian potential (AGP) causes the ground state energy to decrease while increasing the MNP of magnetopolarons.

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