But since the Schroedinger equation is a linear, second-order, ordinary differential equation, it has a unique solution, given the value of the function and its derivative at the same point. But if the solution …

Nov 13, 2009 · a wave equation is given as A = A cos (kx - ωt) so why if someone describes the wave equation to be A = A sin (ωt - kx) , the argument of the sin function...

May 4, 2015 · In particular, note the spots where the wave function is always zero. These are the places where the particle will never be found! Simulating the 2-D Solution In 2-D, the problem is similar …

The derivation of GP equation relies on the variational method. The energy functional E[ψ] = has a minimum E0 for the true ground-state wave-function When making a small variation hψ|H|ψi/hψ|ψi ψ …

Mar 23, 2015 · is called wave function. If in addition $u (x,t)$ is the solution of a differential equation with partial derivatives we are talking about a solution of the differential equation in the form of a wave …

Sep 3, 2016 · The discussion centers on why the absolute square of the wave function, |ψ|², is used to determine probabilities in quantum mechanics instead of just squaring the real part. It highlights that …

Feb 19, 2010 · The inclusion of the imaginary unit "i" in the Schrödinger equation facilitates this representation, allowing for a natural connection to harmonic oscillators and wave-like properties. …

Jun 21, 2015 · I just learned how to derive the wave equation and now I have some questions about it. In my physics text (first year) it simply says (without reason) that the solution to the wave equation is …

Feb 18, 2013 · Why do some wave equations use sinθ and others cosθ? Does it make a difference when calculating properties such as wavelength and wave number? For example: y (x,t) = Asin …

Sep 6, 2016 · Hi there, I am solving a second-order wave equation of the following form: where is time; is the wave function. I learn the wave function by assuming the system is linear and has a linear …