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QMC

QMC: Quantum Monte Carlo
Definition:Extention of the classical Monte Carlo methods (→MC) for numerical solution of equations for quantum mechanical Hamilton operators
Explanation:QMC is a name for a wide range of computational algorithms used in condensed matter physics for the solution of the quantum many body problem. In a solid containing N electrons, one has to solve 3N dimensional Schrödinger equation [1]. This problem seems to be unfeasible due to the fact that the wave function depends on a number of coordinates that becomes exponentially larger with respect to the number of particles. In QMC, the MC method is employed for an efficient computation of multi-dimensional integrals, which occurs when solving the Schrödinger equation with a many body Hamiltonian describing the quantum system.
References:[1] W. M. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, Rev. Mod. Phys. 73, 33 (2001)