scholarly journals Ground-state correlation effects in extended random phase approximation calculations

1994 ◽  
Vol 49 (5) ◽  
pp. 2824-2827 ◽  
Author(s):  
A. Mariano ◽  
F. Krmpotić ◽  
A. F. R. de Toledo Piza
Keyword(s):  
Ground State ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Correlation Effects ◽  
State Correlation ◽  
Ground State Correlation

VARIATIONAL RANDOM PHASE APPROXIMATION FOR THE ANHARMONIC OSCILLATOR

1991 ◽  
Vol 06 (26) ◽  
pp. 2429-2435 ◽  
Author(s):  
J. DUKELSKY ◽  
P. SCHUCK
Keyword(s):  
Wave Function ◽  
Density Matrix ◽  
Ground State ◽  
Random Phase Approximation ◽  
Anharmonic Oscillator ◽  
Random Phase ◽  
Oscillator Model ◽  
Phase Approximation ◽  
Truncation Scheme

The recently derived Variational Random Phase Approximation is examined using the anharmonoic oscillator model. Special attention is paid to the ground state RPA wave function and the convergence of the proposed truncation scheme to obtain the diagonal density matrix.

DIELECTRIC THEORY OF PLASMA OSCILLATIONS AND ITS EXTENSION TO THE EXCITON PROBLEM

1963 ◽  
Vol 41 (9) ◽  
pp. 1470-1481
Author(s):  
C. Horie
Keyword(s):  
Dispersion Relation ◽  
Charge Density ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Correlation Effects ◽  
Plasma Oscillations ◽  
Local Charge ◽  
New Form ◽  
Plasma Problem

A new form of the microscopic expression for the dielectric constant is derived and used to obtain the dispersion relation for plasma modes. It is found that the usual dispersion relation for plasma modes derived using the random phase approximation contains higher-order correlation effects than is usually believed. The dielectric approach to the plasma problem is extended to the exciton problem by introducing a nonlocal charge density instead of the local charge density appearing in the case of the plasma modes. The same equation determining the energy of the exciton states as derived in a previous paper is obtained.

Sign in / Sign up

Export Citation Format

Share Document