About

Note, the mathematical formulas on this page might take a while to render.

Theory

Feynman Path Integrals

Uses Feynman Path Integral formulation... we can write the mean of an operator A as

\[\langle \hat{A} \rangle = \frac{ \int_{-\infty}^\infty dx' \int_{x'}^{x'} \mathcal{D} x(t) e^{- \frac{S_E [x]}{\hbar}} A(x(t_1))}{\int_{-\infty}^{\infty}dx' \int_{x'}^{x'} \mathcal{D} x(t) e^{- \frac{S_E [x]}{\hbar}}}\]

Sampling

Bisection.... We are good ppl