scholarly journals Spin coherent-state transformation and analytical solutions of ground-state based on variational-method for spin-Bose models

2013 ◽  
Vol 62 (11) ◽  
pp. 114205
Author(s):  
Yang Xiao-Yong ◽  
Xue Hai-Bin ◽  
Liang Jiu-Qing
Keyword(s):  
Variational Method ◽  
Coherent State ◽  
Analytical Solutions ◽  
Ground State ◽  
State Transformation ◽  
Spin Coherent State

BUILT-IN ELECTRIC FIELD EFFECT ON DONOR IMPURITIES IN STRAINED WURTZITE GaN/AlGaN ASYMMETRIC DOUBLE QUANTUM WELLS

2012 ◽  
Vol 26 (26) ◽  
pp. 1250172 ◽  
Author(s):  
JUN ZHU ◽  
SHI LIANG BAN ◽  
SI HUA HA
Keyword(s):  
Variational Method ◽  
Electric Field ◽  
Quantum Wells ◽  
Ground State ◽  
Field Effect ◽  
Binding Energies ◽  
Double Quantum ◽  
Electric Field Effect ◽  
Material Parameters ◽  
Asymmetric Double Quantum Wells

The ground state binding energies of donor impurities in strained [0001]-oriented wurtzite GaN / Al x Ga 1-x N asymmetric double quantum wells are investigated using a variational method combined with numerical computation. The built-in electric field due to the spontaneous and strain-induced piezoelectric polarization and the strain modification on material parameters are taken into account. The variations of binding energies versus the width of central barrier, the ratio of two well widths, and the impurity position are presented, respectively. It is found that the built-in electric field causes a mutation of binding energies with increasing the width of central barrier to some value. The results for symmetrical double quantum wells and without the built-in electric field are also discussed for comparison.

Variational Method for the Ground State of LiquidHe4

1966 ◽  
Vol 17 (8) ◽  
pp. 424-426 ◽  
Author(s):  
Joon Chang Lee ◽  
A. A. Broyles
Keyword(s):  
Variational Method ◽  
Ground State

Electronic wave functions II. A calculation for the ground state of the beryllium atom

1950 ◽  
Vol 201 (1064) ◽  
pp. 125-137 ◽  
Keyword(s):  
Wave Function ◽  
Variational Method ◽  
Ground State ◽  
Accurate Result ◽  
Energy Criterion ◽  
Wave Functions ◽  
Exponential Functions ◽  
Approximate Wave Function ◽  
Electronic Wave Functions ◽  
Approximate Wave

An approximate wave function expressed in terms of exponential functions, spherical harmonics, etc., with numerical coefficients has been calculated for the ground state of the beryllium atom . Judged by the energy criterion this gives a more accurate result than the Hartree result which was the best previously known. This has been calculated as a trial of a fresh method of calculating atomic wave functions. A linear combination of Slater determinants is treated by the variational method. The results suggest that this will provide a more powerful and convenient method than has previously been available for atoms with more than two electrons.

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