 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
multidimensional
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) 

