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Quantum particle in a 2 dimensional box 
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#1
Jun507, 10:52 AM

P: 13

1. The problem statement, all variables and given/known data
I need some help http://www.fysik.uu.se/kurser/1tt306...rtanswers.pdf On task 4 a) i don't understand why they have two solutions, one for odd n and the other for even n. 


#2
Jun507, 11:43 AM

Sci Advisor
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P: 4,738

It has to do with the parity of the wave functions. Look on the symmetries around x=0. Ground state has zero nodes, 1st excited has one etc. Skiss the potetial and search for symmetry points. 


#3
Jun607, 11:27 AM

HW Helper
P: 2,567

Note there's no qualititative difference between the x and y directions. You could write the wavefunction more symmetrically as:
[tex] \psi_{nm} = C \sin \left( n \pi \frac{x(A)}{A(A)} \right) \sin \left( m\pi \frac{y0}{B0}\right) [/tex] They just used some trig identities to rewrite this. 


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