Homework Statement
A particle of mass m is in the ground state in the harmonic oscillator potential
V(x) = \frac{1}{2}Kx^{2}
A small perturbation \beta x^{6} is added to this potential.
How small must \beta be in order for perturbation theory to be valid?
Homework Equations...
That is a fantastic idea!
P = \left(\sqrt{1/2}*\sqrt{2/3}-i\sqrt{1/2}*\sqrt{1/3}\right)*\left(\sqrt{1/2}*\sqrt{2/3}+i\sqrt{1/2}*\sqrt{1/3}\right)
= 1/2
Is this correct?
Actually, this is the same answer I got when I used the magnitude-in-the-complex-plane method. Hrm. Coincidence, or...
Homework Statement
A spin 1/2 particle is in the state \left| \Psi \right\rangle = \sqrt{2/3}\left|\uparrow\right\rangle + i\sqrt{1/3}\left|\downarrow\right\rangle
A measurement is made of the x-component of the spin. What is the probability that the spin will be in the -x direction...
I am very sorry that I did not use latex here. It didn't seem to be functioning properly, but I tried to make this readable.
Homework Statement
The wave function for a particle moving in one dimension is
Psi(x, t) = A x e^[-(sqrt(km)/2(hbar))*x^2] e^[-i*sqrt(k/m)*(3/2)*t]
Normalize this...
I didn't expect anyone to. I mostly just thought it would be nice if someone knew. Back to my gravity example, my introductory mechanics book didn't post "curvature of spacetime" everywhere when the gravity discussion came up. But really, I just like ideas. The math is great, but the ideas are...
I asked my professor about this and he didn't have an answer, so I don't really expect anything definite like we have for gravity. It would be nice if someone happened to know something neither my professor nor I know, but I am aware that that's not likely.
Mostly I was pushing for...
I understand the definition of an electric field as a property of space surrounding a charge, but what exactly is this property? You can think about gravity as objects distorting bend-able space... but is there an analogous explanation for electric fields? Or at least some ideas?
It would certainly help my understanding in class, but it's not homework... I mostly was just wondering more specifically what is happening here. Should I move it?
Here is a diagram of the circuit I am analyzing:
http://www.sixtheorem.com/images/1.png
I observe that bulb 2 does not light when the switch is closed. Could someone please explain what is happening here?
And, what happens if I reverse the direction of battery B?