Recent content by Trajito

We must have a term involving t, otherwise the result wouldn't depend on t, which makes the expectation value of x the same at any time, which is impossible since at t=ti it should be equal to xi and at t=tf it should be equal to xf.

There is no "actual" wave function. Only that we know is particle is found at the position xi at the time ti, and is found at the position xf at the time tf. The question is what is the expectation value of x at a time t which is in the interval [ti, tf]. Maybe if I write my trial solution, it...

Hello, I want to find <xftf|x(t)|xiti> in harmonic oscillator. I tried to insert the complete set of energy eigenstates to the right and the left side of x(t), but it yields somewhat more complicated stuff. Thank you

The answer was "yes." When calculating every kind of very high dimensional integrals, Markov chain Monte Carlo methods are widely employed. Two most common of these are Gibbs sampling and the Metropolis-Hastings algorithm. Both have advantages; the latter is, as far as I see, much more...

Hello to all, To take Feynman path integrals, which Monte Carlo algorithm do you think is best to use? I tried VEGAS algorithm as it is in GNU Scientific Library. It is pretty useful for many kinds of multi-dimensional integrals but since the path integral formulation includes Gaussian...

Hello, I am trying to write a code taking path integrals in C++, using GNU Scientific Library. GSL is mainly written for C and does not include classes and other object-oriented language stuff, but it's also compatible with C++. Thus, what I first tried was making use of classes with GSL...