Homework Statement
When I'm trying to find the probability of finding an electron within a sphere of a certain radius, do i integrate the radial distribution probability function with respect to r from 0 to infinity? My book says the product of the radial distribution function times dr would...
Homework Statement
Does Px Lx operators commute?
Homework Equations
This is just me wondering
The Attempt at a Solution
I tried doing this and I got something weird, my friend said that when you take a derviative with respect z or something that when you try to take the derivative of...
Homework Statement
I was wondering how to construct the velocity operator
Homework Equations
P=MV
The Attempt at a Solution
Since P=MV, i used the linear momentum operator and divided by M to get V. Is this the right way to construct an operator from linear momentum and position...
Homework Statement
Does a wavefunction have to be normalized before you can calculate the probability density?
Homework Equations
n/a
The Attempt at a Solution
Im thinking yes? so that your probability will be in between 0 and 1?
okay so then i got this
(5) (\frac{\hbar}{i})^2(y\frac{\partial}{\partial z}\frac{\partial\psi}{\partial y}-z\frac{\partial}{\partial y}\frac{\partial\psi}{\partial y})-(\frac{\hbar}{i})^2(\frac{\partial\psi}{\partial z}+y\frac{\partial}{\partial y}\frac{\partial\psi}{\partial...
Homework Statement
If you want to show two wavefunctions are orthogonal, do you have to normalize the wavefunctions first then take the integral of the product and see if they're equal to 0?
Homework Equations
n/a
The Attempt at a Solution
not really applicable. I just want a...
Okay thanks for the response, i have a similar problem to that of the first that I put up, but I am very confused.
Problem
Show that [\hat{L}_{x},\hat{P}_{y}]=i\hbar\hat{P}_{z}.
(Note: \hat{L}_{x}=y\hat{P}_{z}-z\hat{P}_{y})
Televant equations...
Homework Statement
Find the commutator
\left[\hat{p_{x}},\hat{p_{y}}\right]
Homework Equations
\hat{p_{x}}=\frac{\hbar}{i}\frac{\partial}{\partial x}
\hat{p_{y}}=\frac{\hbar}{i}\frac{\partial}{\partial y}
The Attempt at a Solution
[\hat{p}_{x}...
Hi I was just wondering if someone could explain superposition in QM? Is it to get the probability of finding a particle in a certain state of a wavefunction that would have both positive and negative probabilities?
Homework Statement
(phi)n (theta)=(2*pi)^(-1/2) * e^i*n(theta) 0<=theta<=2pi
Show that the set of functions is orthonormal where n is an integer
Homework Equations
(phi)n (theta)=(2*pi)^(-1/2) * e^i*n(theta) 0<=theta<=2pi
Definition of orthonormal: functions are orthogonal and of unit length...