The following information pertains to a particle in a 2-D box. Both dimensions of the box...

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The following information pertains to a particle in a 2-D box. Both dimensions of the box are equal (Lx=Ly=L)

Normalized Eigen functions: 1. Ψ(x,y)= 2/L sin (nπx/L)sin( kπy/L)

2. H= h²/2m( d²/dx²+ d²/dy²)+ V (x,y) Boundary Conditions: V( x,y > 0; x,y < L) =0 V(x,y > L; x,y < 0 ) = Infinity

a. Draw the 2-D potential energy surface ("box") that confines the particle.

b. Use equations 2 and 3 to produce the general solution ( a formula in terms of n) for the energy levels of a 2-D particle in a box

c. Determine the degeneracy of the first five energy levels of the particle in a 2-D box

science Advanced-Physics

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