Recent content by thegaussian

Hi. I'm looking to at how expectation values of periodic functions evolve in time, and i need to prove that ##\exp ( i \theta )## is continuous in time (this is the expectation of the exponential of the angle). My formula is: ##\exp( i \theta) = \exp ( i t /2) \sum_{n=-\infty}^{\infty} a_n...

awesome thanks! is it possible to make the lines thicker if i have them come up from the x axis? cheers

Hi, I'm trying to plot the coefficients of a Fourier series as a discrete plot. Does anyone know how I could go about doing this? I have mathematica 6 so DiscretePlot isn't there like in 7... Any help would be great!

woops yeah it is meant to be x0... :) yes it's just the free particle hamiltonian, no potential. I tried using a separation of variables technique: psi(x,t) = X(x)T(t), and then sticking that in schrodingers equation using psi(x) = X(x), but I couldn't get that to work...

Hi, I'm trying to derive a wave equation for a gaussian wavepacket for both the position (x) and the momentum (k), for a wave packet of width sigma, at some initial position x0 and with an initial momentum k0. Now I have worked out the initial wavepacket equation to be: psi(x) =...

I'm doing a Fourier transform of a gaussian wavepacket, so I can get the momentum representation of the wave... To progress I need to evaluate the following integral: Int{exp[-(sigma^2.x^2 + bx)/4k].cos[(tx^2 - cx)/8k]}dx with sigma, b,k,t and c all being constants, and the limits being...

I'm starting a project on Gaussian Wavepackets, and the evolution of the Uncertainty principle with time, however after the summer I'm a bit rusty :s, so I have a few questions, if anyone could help that would be great. Ok, first of all I see (and largely understand) that delta-x delta-p >...