It is pointed out that classical statistical mechanics is a field theory with Liouville's equation as its field equation. The statistical mixing of a one-dimensional oscillator is examined and a ...

Inspired by path integral solutions to the quantum relaxation problem, we develop a numerical method to solve classical stochastic differential equations with multiplicative noise that avoids ...

Heisenberg's uncertainty principle -- the fundamental impossibility of simultaneously measuring entities such as position and momentum exactly -- is at the heart of quantum theory. Physicists have now ...

Heisenberg's uncertainty principle posits that there is a fundamental limit to the precision with which so-called complementary variables, such as position and momentum, can be measured. That is, the ...