scholarly journals Symmetry-Projected Jastrow Mean-Field Wave Function in Variational Monte Carlo

2019 ◽  
Vol 123 (17) ◽  
pp. 3911-3921 ◽  
Author(s):  
Ankit Mahajan ◽  
Sandeep Sharma
Keyword(s):  
Monte Carlo ◽  
Wave Function ◽  
Mean Field ◽  
Variational Monte Carlo ◽  
Field Wave

scholarly journals INVESTIGATING THE VOLUME MAXIMIZING THE PROBABILITY OF FINDING ν ELECTRONS FROM VARIATIONAL MONTE CARLO DATA

2005 ◽  
Vol 04 (02) ◽  
pp. 397-409 ◽  
Author(s):  
ANTHONY SCEMAMA
Keyword(s):  
Monte Carlo ◽  
Wave Function ◽  
Particle Density ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Monte Carlo Sampling ◽  
The Other ◽  
Monte Carlo Data ◽  
Variational Monte Carlo ◽  
Three Dimensional Space

An algorithm is introduced for the search of a volume, in the three-dimensional space, which maximizes the probability of finding να up electrons and νβ down electrons inside the volume, all the other electrons being outside of it. This search is performed after a Variational Monte Carlo sampling of the N-particle density generated by the wave function.

scholarly journals Alpha correlations in terms of the hyper-Pfaffian

2019 ◽  
Vol 223 ◽  
pp. 01040
Author(s):  
Takahiro Mizusaki ◽  
Peter Schuck
Keyword(s):  
Monte Carlo ◽  
Wave Function ◽  
Monte Carlo Method ◽  
Nuclear Structure ◽  
Natural Extension ◽  
Variational Monte Carlo ◽  
Variational Monte Carlo Method ◽  
Nuclear Structure Calculations ◽  
Structure Calculations ◽  
Mathematical Relations

We find that the overlap between alpha-like four-body condensation wave function and m-scheme basis state can be represented by the hyper-Pfaffian, which is a natural extension of the Pfaffian for thepair-condensation wave function. This overlap is useful for nuclear structure calculations with the variational Monte Carlo method. As the hyper-Pfaffian has, however, only a few mathematical relations, it is quite difficult to use for numerical computations. We also find that a specific case of hyper-Pfaffian can be expressed by the sum of standard Pfaffians.

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