Part B

Identify the values of the quantum numbers $n_x,n_y$ for plot a$.$

Express your answers as an integer separated by a comma.

$(n_x{)}_a,(n_y{)}_a=$

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Part C

Identify the values of the quantum numbers $n_x,n_y$ for plot $b.$

Express your answers as an integer separated by a comma.

$(n_x{)}_b,(n_y{)}_b=$

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Part D

Identify the values of the quantum numbers $n_x,n_y$ for plot $c.$

Express your answers as an integer separated by a comma.

$(n_x{)}_c,(n_y{)}_c=$

For a particle in a two$-$dimensional box, the total energy eigenfunctions are ${}_{n_x,n_y}(x,y)=$Nsin$(\frac{n_{x}x}{a})sin(\frac{n_{y}y}{b}).$

Contour plots of several eigenfunctions are shown here. The $x$ and $y$ directions of the box lie along the horizontal and vertical directions, respectively. The amplitude has been displayed as a gradation in colors. Regions of positive and negative amplitude are indicated.

$($a$)$

$($c$)$

$($b$)$

$($d$)$