12. The values of Quantum numbers nx and ny in Plot iii) is (3,1)
13. energy order iii)>ii)>i)

Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined...
Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. V ... (x,y)= sin" ve sin Phylly Vaba b E (x,y) = ";" nhº nhỏ 8ma? '8mb? The contour plots below represent three different wavefunctions for a system such that a = b corresponding to the length of the horizontal x axis and vertical y axis, respectively. be (ii) (iii) 16. Draw and label an energy diagram...
8. Compare the expression derived for translational energy for a particle confined to a 2D plane, Em..., to one confined to a 1D line, E, or E. Does there appear to be a general relationship between the two solutions? If so, specifically identify how they are related. Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. V.,„, (x,y)= \sin ",7 sin ", Ty E. (x,y) =...
7. Compare the functional form of the wavefunction derived for a particle confined to a 2D plane, Y., , to one confined to a 1D line, Y., or Y... Does there appear to be a general relationship between the two solutions? If so, specifically identify how they are related. Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. V., ,(x,y) = Pnevy »* Vaba sin2= sin2,...
P7B.8 A normalized wavefunction for a particle confined between 0 and L in the x direction, and between 0 and L in the y direction (that is, to a square of side L) is Ψ= (2/L) sin(nx/L) sin(ny/L). The probability of finding the particle between x, and x, along x, and between y, and y, along y is P- Calculate the probability that the particle is: (a) between 0 and x L/2,y O and y L/2 (i.e, in the bottom...