Compara mètodes

	Integral de Camins de Monte Carlo	Teoria del Funcional de la Densitat
Camp	Computació quàntica	Computació quàntica
Família	Machine learning	Machine learning
Any d'origen	1948	1965
Autor original	Richard Feynman	Walter Kohn
Tipus	Stochastic simulation	Electronic structure method
Font seminal	Feynman, R. P. (1948). Space-time approach to non-relativistic quantum mechanics. Reviews of Modern Physics, 20, 367–387.	Kohn, W., Sham, L. J. (1965). Self-consistent equations including exchange and correlation effects. Physical Review, 140, A1133–A1138.
Àlies	PIMC, Feynman path integral	DFT, Kohn-Sham equations
Relacionats	3	4
Resum	Path Integral Monte Carlo (PIMC) is a computational method for calculating thermodynamic and structural properties of quantum systems using Feynman's path integral formulation. Developed rigorously by David Ceperley and colleagues in the 1990s, PIMC treats quantum particles as classical polymers in a higher-dimensional space, enabling efficient Monte Carlo sampling of quantum statistics.	Density Functional Theory (DFT) is a computational method for determining the properties of materials and molecules by modeling the ground state electron density. Developed by Walter Kohn and Lu Jeu Sham in the 1960s, DFT reduces the complexity of quantum chemistry from tracking individual electron coordinates to optimizing the total electron density, enabling efficient simulations of large molecular and condensed-matter systems.