Monte carlo methods in quantum many-body theories

Author(s):  
Rafael Guardiola
2001 ◽  
Vol 15 (10n11) ◽  
pp. 1447-1462 ◽  
Author(s):  
Y. ALHASSID

We discuss finite temperature quantum Monte Carlo methods in the framework of the interacting nuclear shell model. The methods are based on a representation of the imaginary-time many-body propagator as a superposition of one-body propagators describing non-interacting fermions moving in fluctuating auxiliary fields. Fermionic Monte Carlo calculations have been limited by a "sign" problem. A practical solution in the nuclear case enables realistic calculations in much larger configuration spaces than can be solved by conventional methods. Good-sign interactions can be constructed for realistic estimates of certain nuclear properties. We present various applications of the methods for calculating collective properties and level densities.


2020 ◽  
Vol 153 (18) ◽  
pp. 184706
Author(s):  
Matúš Dubecký ◽  
František Karlický ◽  
Stanislav Minárik ◽  
Lubos Mitas

1979 ◽  
Vol 328 (1-2) ◽  
pp. 153-168 ◽  
Author(s):  
M.H. Kalos

Author(s):  
Ranjan S. Mehta ◽  
Anquan Wang ◽  
Michael F. Modest ◽  
Daniel C. Haworth

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