Physics Problem. Help please I'm not sure how to even approach this problem.

Solve the stationary Schrodinger equation for the infinite potential well:
I responded with a picture of the problem attached.

Question

Physics Problem. Help please I'm not sure how to  even approach this problem.

Solve the stationary Schrodinger equation for the infinite potential well:
I responded with a picture of the problem attached.

anonymous · Answer

Here is the picture.

aaronq · Answer

I'm starting a course like this next week, so i can't really help you yet but read this: http://academic.reed.edu/physics/courses/P342.S10/Physics342/page1/files/Lecture.6.pdf

experimentx · Answer

Eh, solve this equation
 $$ \frac{\partial^2 \psi}{\partial^2 x} + \frac{2mE}{\hbar} \psi = 0 $$ 
since it only 1D (time independent) equation, it behaves as ODE, that you learn to solve in your calculus class.

aaronq · Answer

@experimentX, would you mind giving me an insight in how you arrived at that?

experimentx · Answer

@aaronq just google for time independent Schrodinger equation and put V=0.
also don't forget to normalize it within -a to a

aaronq · Answer

okay, great. thanks @experimentX

anonymous · Answer

@experimentX are you talking about part a? Sorry I have always been slow to understand how things fit together in physics. I'm not seeing what is is that I am supposed to start with in order to begin solving the problem given V.

experimentx · Answer

this is the second thing that you learn after you learn about barrier potential http://en.wikipedia.org/wiki/Particle_in_a_box

experimentx · Answer

also more clear and better here http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/pbox.html just solve this ODE $$ \psi''(x) + k^2 \psi (x) = 0$$ where k^2 = 2mE/hcosss