Quantum Monte Carlo wave-function approach to dissipative processes in mesoscopic semiconductors

1994 ◽  
Vol 191 (5-6) ◽  
pp. 425-430 ◽  
Author(s):  
A. Imamoḡlu ◽  
Y. Yamamoto
Keyword(s):  
Monte Carlo ◽  
Wave Function ◽  
Quantum Monte Carlo ◽  
Function Approach ◽  
Dissipative Processes

scholarly journals Transport in open spin chains: A Monte Carlo wave-function approach

2008 ◽  
Vol 77 (10) ◽  
Author(s):  
Mathias Michel ◽  
Ortwin Hess ◽  
Hannu Wichterich ◽  
Jochen Gemmer
Keyword(s):  
Monte Carlo ◽  
Wave Function ◽  
Spin Chains ◽  
Function Approach

scholarly journals OPTIMIZATION OF QUANTUM MONTE CARLO WAVE FUNCTION: STEEPEST DESCENT METHOD

2010 ◽  
Vol 21 (04) ◽  
pp. 523-533 ◽  
Author(s):  
M. EBRAHIM FOULAADVAND ◽  
MOHAMMAD ZARENIA
Keyword(s):  
Monte Carlo ◽  
Wave Function ◽  
Quantum Monte Carlo ◽  
Descent Method ◽  
Steepest Descent ◽  
Steepest Descent Method ◽  
Direct Energy Minimization ◽  
Direct Energy ◽  
Spatial Coordinates ◽  
Quantum Monte Carlo Method

We have employed the steepest descent method to optimize the variational groundstate quantum Monte Carlo wave function for He , Li , Be , B and C atoms. We have used both the direct energy minimization and the variance minimization approaches. Our calculations show that in spite of receiving insufficient attention, the steepest descent method can successfully minimize the wave function. All the derivatives of the trial wave function respect to spatial coordinates and variational parameters have been computed analytically. Our groundstate energies are in a very good agreement with those obtained with diffusion quantum Monte Carlo method (DMC) and the exact results.

Optimization of a multideterminant wave function for quantum Monte Carlo: Li2 (X 1Σ+g)

1992 ◽  
Vol 96 (3) ◽  
pp. 2422-2423 ◽  
Author(s):  
Zhiwei Sun ◽  
Robert N. Barnett ◽  
William A. Lester
Keyword(s):  
Monte Carlo ◽  
Wave Function ◽  
Quantum Monte Carlo

THE DIFFUSION QUANTUM MONTE CARLO METHOD: DESIGNING TRIAL WAVE FUNCTIONS FOR NiO

2003 ◽  
Vol 17 (28) ◽  
pp. 5425-5434 ◽  
Author(s):  
R. J. NEEDS ◽  
M. D. TOWLER
Keyword(s):  
Monte Carlo ◽  
Wave Function ◽  
Monte Carlo Method ◽  
Transition Metal ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Trial Wave Function ◽  
Wave Functions ◽  
Quantum Monte Carlo Method

A brief overview of the diffusion quantum Monte Carlo method is given. The importance of the trial wave function is emphasised and we discuss how to design satisfactory forms for transition metal monoxides. Some results of a diffusion quantum Monte Carlo study of NiO are reported.

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