scholarly journals Improved multi-variable variational Monte Carlo method examined by high-precision calculations of one-dimensional Hubbard model

2013 ◽  
Vol 454 ◽  
pp. 012046 ◽  
Author(s):  
Ryui Kaneko ◽  
Satoshi Morita ◽  
Masatoshi Imada
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Hubbard Model ◽  
High Precision ◽  
Variational Monte Carlo ◽  
One Dimensional ◽  
Variational Monte Carlo Method

scholarly journals Ground state calculations of the confined molecular ions H2+ and HeH++ using variational Monte Carlo method

2016 ◽  
Vol 94 (5) ◽  
pp. 501-506 ◽  
Author(s):  
Salah B. Doma ◽  
Fatma N. El-Gammal ◽  
Asmaa A. Amer
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ground State ◽  
State Energy ◽  
Molecular Ions ◽  
Variational Monte Carlo ◽  
Molecular Ion ◽  
Spheroidal Cavity ◽  
Variational Monte Carlo Method ◽  
Good Agreement

The ground state energy of hydrogen molecular ion [Formula: see text] confined by a hard prolate spheroidal cavity is calculated. The case in which the nuclear positions are clamped at the foci is considered. Our calculations are based on using the variational Monte Carlo method with an accurate trial wave function depending on many variational parameters. The results were extended to also include the HeH++ molecular ion. The obtained results are in good agreement with the most recent results.

scholarly journals mVMC—Open-source software for many-variable variational Monte Carlo method

2019 ◽  
Vol 235 ◽  
pp. 447-462 ◽  
Author(s):  
Takahiro Misawa ◽  
Satoshi Morita ◽  
Kazuyoshi Yoshimi ◽  
Mitsuaki Kawamura ◽  
Yuichi Motoyama ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Open Source ◽  
Open Source Software ◽  
Variational Monte Carlo ◽  
Variational Monte Carlo Method
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