The combination of Monte Carlo algorithms with this formalism for use on lattice problems is known as the "worldline"method.
The combination of Monte Carlo algorithms with this formalism for use on lattice problems is known as the "worldline"method. The Duistermaat-Heckman theorem gives the conditions under which the calculations central to this formalism canbe localized and performed exactly. Stephen Hawking used this formalism to compute the partition function of a black hole,and in general, the use of a Wick rotation transforms the expressions central to this formalism into the partition function ofstatistical mechanics. This formalism is based on extending the Weiner process to apply to the Schrodinger equation via aformula developed by this formalism's originator and Mark Kac. This formalism expresses the transition amplitude betweentwo states, or equivalently, the propagator, by considering the sum of all possible trajectories weighted by a phase factor givenby the action. For 10 points, identify this quantum mechanical formalism invented by Richard Feynman.
The combination of Monte Carlo algorithms with this formalism for use on lattice problems is known as the "worldline"method.
path integral formalism