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 …

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...

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 …

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 …

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 …

Mar 28, 2014 · Wave function and its first derivative must be continuous becaus wave function is solution of Schroedinger equation: Let's examine one dimensional case...

Feb 19, 2010 · I'd like to know why wave functions are taken to be complex-valued in general, and where the i in the Schrödinger equation comes from and what it means. I've seen plenty of we …

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 …

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 …

Jan 25, 2009 · It needs to be wave-equation because experiments suggest wave-like properties. It needs to be first order in t because the state should be completely determined by the …