For the m-mass particle in the two-dimensional infinite potential well; a) Determine the energies of the top three lowest-energy situations. Discuss whether these conditions are degenerate. V= {0, (0<=x=

For the m-mass particle in the two-dimensional infinite potential well; a) Determine the energies of the top three lowest-energy situations. Discuss whether these conditions are degenerate. V= {0, (0<=x=

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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For the m-mass particle in the two-dimensional infinite potential well;
a) Determine the energies of the top three lowest-energy situations. Discuss whether these
conditions are degenerate.
V= {0, (0<=x=<a , 0<=y=<a ) }
o otherwise
A' = 8xy
b)lf very small perturbation is applied to the system;
i)
Calculate energy correction terms up to level 2 for base and second stimulated
conditions by applying perturbation theory.
Find the system's primary stimulated state energies and corresponding wave
ii)
functions under the influence of perturbation.

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