Schrodinger's time independent equation

[saintkickass]

[Mentor's note: This thread does not use the standard homework template because it was moved here from one of the non-homework forums.]

Hi,
Looking for help on what to do next.

Question (it's in two parts but part 1 is like two lines):
Part 1: http://imgur.com/BwyNwsE [1]
Part 2: http://imgur.com/LrIh4IP [2]

Normally my approach is to evaluate the double derivative on the LHS and rearrange until I can equate it to the RHS. This time I'm unsure what to make of Φ as it's not expressed in terms of x and y.
What am I looking at and how do I go about solving it?
Thanks.

 

[UltrafastPED]

They have provided the equation ... and suggested a method for finding the solution: separation of variables.

See http://tutorial.math.lamar.edu/Classes/DE/SeparationofVariables.aspx

 

[saintkickass]

They have provided the equation ... and suggested a method for finding the solution: separation of variables.

See http://tutorial.math.lamar.edu/Classes/DE/SeparationofVariables.aspx

Thanks I'll have a look, but I am looking to answer the first question, part a.

 

[jtbell]

Take the given $\psi(x,y,z)$, substitute it into the (3-dimensional) time independent S.E., and evaluate whatever derivatives you can evaluate.

 

[saintkickass]

Take the given $\psi(x,y,z)$, substitute it into the (3-dimensional) time independent S.E., and evaluate whatever derivatives you can evaluate.

Hey, I think that works. Thanks :)