Recent content by budafeet57

Thank you clamtrox. I am very rusty about the definition of continuity and differentiability, even I went back to my calc textbook, I still cannot figure out what I should do. Can you tell me what's wrong with my reasoning?

f(1)=4

Ah I see, b is the answer. Because f is not a constan, so it can only be linear. When it's differentiated it can't equal to zero under [-2,1].

Homework Statement http://i.imgur.com/69BmR.jpg Homework Equations The Attempt at a Solution a, c are right because f(c) is continuous. b, d are right because f'(c) is differentiable over the interval I am not sure about e. Can anyone explain to me?

Hi Simon, I'll come back and think more after my coming exam.

Hi Simon, thanks for helping me again. wave equation is the Schrödinger equation? and wave function is the solution?

Homework Statement An electron is confined within a three-dimensional cubic region the size of an atom where L = 200 pm. a) write a wave equation for the electron b) wirte a general wave function for the possbile states of the electorn. List any quantum numbers and their possible values...

Thanks. I was doing a problem: An electron is confined within a three-dimensional cubic region the size of an atom where L = 200 pm. and I remembered somehow, my teacher gave me these equation do they work in such condition?

I have learned time-independent Schrödinger equation only from my textbook. I know Eψ(x) = - hbar^2 / 2m ψ''(x) + Uψ(x) and ψ(x) = Asinkx + B coskx what if it's three dimension? do I do Eψ(x, y, z) = - hbar^2 / 2m ψ''(x, y, z) + Uψ(x, y, z) ? and what is the wave equation supposed to be?

I can define +x and +v to the right side and the 500MeV photon is heading to the right while the 200MeV photon is heading to the left. The final momentum of the particle P will have positive value, which indicates that it's moving toward the right. This is definitely what I should think of in...

Thank you. direction of particle should be positive x direction because the head-on collision is 1D and velocity is positive.

for part d, do I just do this?:

Homework Statement Consider the one dimensional wave funciton give below. a) Draw a graph of the wave function for the region defined. b) Determine the value of the normalization constant c) what is the probability of finding the particle between x = 0 and x = a/2 d) show that the wave function...

So instead I should use E^2 = (pc)^2 + (mc^2)^2 to get mc^2, and get K = E - mc^2, then v. now I get: mc^2 = 632 MeV K = 68 MeV v = 0.43c

I see my problem after a nice sleep lol. I originally thought all energy from photon goes into creating the particle P, but because there's momentum left so that assumption was wrong and I cannnot use E = mc^2 where E is 700 MeV and thus m = 700MeV/c^2.