Register to reply 
Quantum particle in a 2 dimensional box 
Share this thread: 
#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
HW Helper
P: 4,739

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: 2,566

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. 


Register to reply 
Related Discussions  
3dimensional particle in a box  Advanced Physics Homework  3  
Find the one dimensional particle motion in a given potential  Introductory Physics Homework  3  
Quantum vaccum one dimensional?  Quantum Physics  2  
Quantum Mechanics, onedimensional box problem  Introductory Physics Homework  3 