Hello,
I recently graduated from my university with a B.S in Astrophysics, and a minor in Mathematics. Through my undergrad I have done undergraduate research on pulsars, and even developed and coded an app to help catalog and database pulsar candidates, with the help of graduate students and a...
for my formatting, (dot) implies a single time derivative with respect to the variable
Kinetic Energy = T = (1/2) m (x(dot)2 +y(dot)2 + z(dot)2
Plug in respective values for x y and z -> T= (1/2) m (a2 α2sin2(αλ) λ(dot) +a2 α2cos2(αλ) λ(dot) + b2λ(dot)
After canceling out Sin and cos ->...
I may have not gotten my formatting correct, this is what I'm using as my Schrodinger equation
I found this equation in my Harmonic Oscillator section in my textbook, is this wrong?
I apologize for the bad formatting:
To start off, I'm trying to use the Schrodinger Equation in the form: (ħ/2m) d^2Ψ(x,t)/dx^2+V(x,t)Ψ(x,t)=EΨ(x,t)
I couldn't remember if I need to also take the partial derivative with respect to T as well, but I started off with just X.
I plugged in my...
Homework Statement
x(dy/dx) = 3y +x4cos(x), y(2pi)=0
Homework Equations
N/A
The Attempt at a Solution
I've tried a couple different ways to make this separable, but you always carry over a 1/dx or 1/dy term and I can never fully separate this. I've also tried to do a Bernoulli differential...
Sorry if anything is confusing, I'm not use to posting in this format. Here is the question verbatim
My group and I are only assuming you have to use Zusmenmenstand because the lecture notes we have. Unfortunately this is all we're given.
Homework Statement
Three-state system. The nucleus of the nitrogen isotope 14N acts, in some ways, like a spinning, oblate sphere of positive charge. The nucleus has a spin of lft and an equatorial bulge; the latter produces an electric quadrupole moment. Consider such a nucleus to be spatially...
This is the diagram that goes with the question.
The bead is sliding along the outside of the cylinder. When I'm missing gravity, does it go in the first derivative? The position vector is given without gravity present.
Thanks for your time.
Homework Statement
A small bead of mass m slides on a frictionless cylinder of radius R which lies with its cylindrical axis horizontal. At t = 0 , when the bead is at (R,0), vz = 0 and the bead has an initial angular momentum Lo < mR sqrt(Rg) about the axis of the cylinder where g is the...