scholarly journals Variational Monte Carlo method for the Baeriswyl wave function: Application to the one-dimensional bosonic Hubbard model

2016 ◽  
Vol 93 (17) ◽  
Author(s):  
B. Hetényi ◽  
B. Tanatar ◽  
L. M. Martelo
Keyword(s):  
Monte Carlo ◽  
Wave Function ◽  
Monte Carlo Method ◽  
Hubbard Model ◽  
Variational Monte Carlo ◽  
One Dimensional ◽  
Variational Monte Carlo Method ◽  
The One

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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