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Exam 1 |
Solutions Exam 1 |
Exam 2 |
Solutions Exam 2 |
Exam 3 |
Solutions Exam 3 |
Final Exam |
Solutions Final Exam

- Chapter 10, Problem 5 (page 372).
- Chapter 10, Problem 11 (page 373).
- Chapter 10, Problem 15 (page 373).
- Chapter 10, Problem 16 (page 373).
- Chapter 10, Problem 17 (page 373).
**20 points extra credit:**In Chapter 9 we discussed the effect of Coulomb repulsion on the energy levels of the Helium atom. Use Mathematica to calculate the Coulomb repulsion between the electrons in the Helium atom for the following two configurations (see Figure 9.7):- The ground state of Helium (
*n*= 1,*l*= 0,*n*= 1,*l*= 0) - The first excited state of Helium (
*n*= 1,*l*= 0,*n*= 2,*l*= 0)

- Obtained the wavefunctions for each electron from Table 7.2.
- Construct the appropriate total wavefunction of the state with the proper spatial symmetry.
- The position of electron 1 is specified by 3 spatial coordinates;
the position of electron 2 is specified by 3 other spatial coordinates. The
distance between the two electrons, Δ
*r*, depends on these 6 spatial coordinates. - To calculate the Coulomb repulsion, determine the expectation value
of 1/Δ
*r*. Note: this requires and integration of over the 6 spatial coordinates.

- The ground state of Helium (

Last updated on Wednesday, January 17, 2018 9:29

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