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Basic Quantum Concepts II (Worksheet)

Last updated

Jan 4, 2021
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- Basic Quantum Concepts I (Worksheet)
- Complex Numbers (Worksheet)

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Name: ______________________________

Section: _____________________________

Student ID#:__________________________

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Demonstrate concepts from class

Show that the eigenfunctions of the 1D particle in a box are orthonormal.

Show that a dipole operator of the form, $\hat \mu=\mu_0\hat x$ can lead to a transition between two levels in the 1D particle in a box.

Show that eigenfunctions of degenerate energy states of the 2D particle in a box are orthogonal.

How deos a dipole operator of the form $\hat\mu=\mu_0\hat r=\mu_{0,x}\hat x +\mu_{0,y}\hat y$ affect eigenfunctions of degenerate energy states of the 2D particle in a box? Can it interconvert these states?

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