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analyticexercises_7_16 [2014/07/16 09:10] bogner |
analyticexercises_7_16 [2014/07/16 09:13] (current) bogner |
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===== Paper and pen exercises (Wednesday 7/16) ===== | ===== Paper and pen exercises (Wednesday 7/16) ===== | ||
+ | * Continue working on the problem set from {{:exercises_secondquantization.pdf|yesterday}}. | ||
+ | |||
* For a local, spin-independent two-body interaction, derive the coordinate space representations of i) the HF single particle Schroedinger equation, and ii) the expression for $E_{HF}$ starting from the general expressions in class. Express answers in terms of $\rho({\bf r})$ and $\rho({\bf r}\sigma,{\bf r}'\sigma')$ as in the lecture. | * For a local, spin-independent two-body interaction, derive the coordinate space representations of i) the HF single particle Schroedinger equation, and ii) the expression for $E_{HF}$ starting from the general expressions in class. Express answers in terms of $\rho({\bf r})$ and $\rho({\bf r}\sigma,{\bf r}'\sigma')$ as in the lecture. | ||