Low-Scaling Self-Consistent Minimization of a Density Matrix Based Random Phase Approximation Method in the Atomic Orbital Space

2019 ◽  
Vol 15 (8) ◽  
pp. 4468-4477 ◽  
Author(s):  
Daniel Graf ◽  
Matthias Beuerle ◽  
Christian Ochsenfeld
Keyword(s):  
Density Matrix ◽  
Approximation Method ◽  
Random Phase Approximation ◽  
Atomic Orbital ◽  
Random Phase ◽  
Phase Approximation ◽  
Self Consistent ◽  
Orbital Space

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.

THE NUMBER SELF-CONSISTENT RENORMALIZED RANDOM PHASE APPROXIMATION

2006 ◽  
Vol 20 (30n31) ◽  
pp. 5334-5337
Author(s):  
A. MARIANO
Keyword(s):  
Charge Exchange ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Critical Value ◽  
Phase Approximation ◽  
Heavy Nuclei ◽  
Electromagnetic Transitions ◽  
Self Consistent ◽  
Eigen Values ◽  
Beta Decays

RPA and its quasiparticle generalization (QRPA) have been widely used to study electromagnetic transitions and beta decays in medium and heavy nuclei, being the pn-QRPA charge exchange mode extensively employed in the description of single and double beta decays in vibrational nuclei. However develops a collapse, i.e. it presents imaginary eigen-values for strengths beyond a critical value of the force. Extensions called renormalized QRPA (RQRPA) do not develop any collapse going beyond the simplest quasiboson approximation, however they present several drawbacks which will be analyzed.

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