Prerequisites for advanced physics problem solving

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athrun200
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I am preparing for the futher courses. So can you tell me what should I learn before solving this problem?

Can you suggest me some books or materials so that I can check it out.

Also can you give me hints on what can I do next for my attempt to solution?

Homework Statement



Textbook problem: a three-dimensional infinite square well potential V(x, y, z) equal to 0 if x, y, z are all between 0 and a, and infinity otherwise, followed by parts (a) to (c) asking for stationary states, energies, degeneracies, and the degeneracy of E14.


Homework Equations


The Attempt at a Solution



Handwritten notes: the time-dependent Schrödinger equation i h-bar dPsi/dt = (-h-bar^2/2m del^2 + V) Psi, then 'Case 1, x, y, z are between 0 and a', then i h-bar dPsi/dt = -h-bar^2/2m del^2 Psi, expanded as -h-bar^2/2m [d^2Psi/dx^2 + d^2Psi/dy^2 + d^2Psi/dz^2].
 
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  • Textbook problem: a three-dimensional infinite square well potential V(x, y, z) equal to 0 if x, y, z are all between 0 and a, and infinity otherwise, followed by parts (a) to (c) on stationary states, degeneracy of energies E1 to E6, and degeneracy of E14.
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  • Handwritten time-dependent Schrödinger equation i h-bar dPsi/dt = (-h-bar^2/2m nabla^2 + V) Psi, followed by 'Case 1, x, y, z are between 0 and a' and the reduced form i h-bar dPsi/dt = -h-bar^2/2m nabla^2 Psi, expanded in partial derivatives with respect to x, y and z.
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Learn about the one-dimensional infinite square well and learn about how to solve partial differential equations using separation of variables.