Perturbation calculation of molecular correlation energy using Gaussian‐type geminals. Second‐order pair energies of LiH and BH

1978 ◽  
Vol 69 (9) ◽  
pp. 3992-4000 ◽  
Author(s):  
Ludwik Adamowicz ◽  
Andrzej J. Sadlej
Keyword(s):  
Correlation Energy ◽  
Second Order ◽  
Perturbation Calculation ◽  
Gaussian Type ◽  
Molecular Correlation

Second‐order correlation energy for H2O using explicitly correlated Gaussian geminals

1995 ◽  
Vol 102 (2) ◽  
pp. 888-897 ◽  
Author(s):  
Robert Bukowski ◽  
Bogumil/ Jeziorski ◽  
Stanisl/aw Rybak ◽  
Krzysztof Szalewicz
Keyword(s):  
Correlation Energy ◽  
Second Order ◽  
Explicitly Correlated

THERMAL PROPERTIES AND GROUND STATE ENERGY SHIFT OF CHARGED ANYONS

1994 ◽  
Vol 09 (20) ◽  
pp. 3683-3705
Author(s):  
J.Y. KIM ◽  
Y.S. MYUNG ◽  
S.H. YI
Keyword(s):  
Coulomb Interaction ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Correlation Energy ◽  
Virial Coefficients ◽  
Energy Shift ◽  
Second Order ◽  
Quantization Scheme ◽  
Coulomb Interactions

We derive the second and third virial coefficients and the ground state energy shift for charged anyons within the Hartree-Fock approximation. A second quantization scheme at finite temperature is introduced for this calculation up to the second order and the vertex is composed of anyonic, point, constant as well as Coulomb interactions. The thermodynamic potential for the second order correlation diagram of Coulomb interaction leads to the logarithmic divergence (V ln V). Hence, we find the heat capacity and the correlation energy of anyons without Coulomb-Coulomb interaction. Finally, we discuss the magnetic-field-induced localization at low filling ν, including the Wigner crystal phase.

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