## quantum particle in a 2 dimensional box

1. The problem statement, all variables and given/known data
I need some help

On task 4 a) i don't understand why they have two solutions, one for odd n and the other for even n.

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Recognitions:
Homework Help
 Recognitions: Homework Help Note there's no qualititative difference between the x and y directions. You could write the wavefunction more symmetrically as: $$\psi_{nm} = C \sin \left( n \pi \frac{x-(-A)}{A-(-A)} \right) \sin \left( m\pi \frac{y-0}{B-0}\right)$$ They just used some trig identities to rewrite this.