Recent content by omni-impotent

I am trying to solve a problem (not homework, too old for that! lol!) which involves the time dependent Schrödinger equation for magnetic moment in time-dependent magnetic fields. I end up with the following that needs to be solved: x' = -i*(b*t-a*t^2)*x - i*c*y y' = -i*c*x -...

5cm and 1-2Hz seems possible with an actuator. But will be expensive. Depending on the mass, you could also use a spring? 5cm and 10Hz is quite fast... are you sure your thin cardboard box won't fly apart?

What's your budget? What period do you need? What amplitude do you need? You could buy an linear actuator and have complete control over all those parameters. A little bit expensive that's all. :-)

ahhh... after some hours of searching, the phenomena I am referring to is called majorana spin-flipping. Anyone know anything about this?

Hello gentlemen, I am trying to understand better processes that can cause "spin-flipping" to occur for magnetic moments in a bias field along the z-axis, Bz. The application of a oscillating field in the xy-plane is well known to me. If the oscillating frequency is at the Larmor frequency...

Being handed unsolvable problems by your supervisor is all part of the fun of research. :) But anyway, everything can be solved numerically ;)

The equation arises when I try to find r_min & r_max of a particle's trajectory in a V(r) = k*r^3 central force potential. The full equation of motion is described in this post: https://www.physicsforums.com/showthread.php?t=221342 :) You bring up a very good point that solutions exists only...

Hi all, I'm dealing with a central force problem (V(x) = k*x^3 potential) and I am stuck solving for x in the equation: A-Bx^3-\frac{C}{x^2}=0 Tried to do it using the symbolic toolbox in MATLAB but I get a "can't find closed form solution" error message. Anyone know the solution to...

Yes I have gotten that far. But as you can see from the equation, there are regions where dr/dt is imaginary. Physically, the particle is forbidden to enter these regions. That is, there exists a r_{min} and a r_{max} given by solving: E - V(r) - \frac{L^2}{2mr^2} = 0 Trying to find these...

The probability density most definitely depends only on the velocity. There are no higher order terms. Think of the radial distance probability density function of a circular motion problem. It is of course a delta-function at a radius R, this is because the magnitude of the radial velocity is...

That makes sense. :) It might end up that I do not have an analytic expression for the velocity. I wonder if a numerical integration of the inverse velocity would yield converging results... guess I will need to play around in Matlab. Thanks for your help.

Dear all, Intuitively, the probability of finding a trapped particle at a given location x should be proportional to the inverse of the velocity of the particle. But for even the simplest of systems, such as 1D harmonic potential SHM, the velocity is zero at the two end points (+A & -A) of...