Calculate a three-dimensional infinite square well potential of dimensions a,b and c in the x,y and z dimensions, respectively. (a) Write time-independent 3D Schröedinger equation in Cartesian coordinates and the corresponding general solution.

Calculate a three-dimensional infinite square well potential of dimensions a,b and c in the x,y and z dimensions, respectively. (a) Write time-independent 3D Schröedinger equation in Cartesian coordinates and the corresponding general solution.

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Question

Thanks in advance

Calculate a three-dimensional infinite square well potential of dimensions a,b and c in the
x,y and z dimensions, respectively.
(a) Write time-independent 3D Schröedinger equation in Cartesian coordinates and the
corresponding general solution.
(b) How many and which are the quantum numbers (nx, ny, nz) degenerate states will exist
for the fourth energy state (E4)?

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