Physics 139B UCSC
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| * For problem 4 of the homework problem, it would be sufficient to prove that $\langle n^{(0)} | {\underline n}^{(j+1)} \rangle = 0$ for any $j = 0, 1, 2, ...$. The ket $| {\underline n}^{(j+1)} \rangle$ is defined in this image, where four completely equivalent statements are noted (green rectangle). The equivalence of these four statements can be proven based on Eqs. 3.19 and 3.20, alone.—~-''<<DateTime(2013-10-14T13:45:15-0700)>>''-~ * Office hours: Monday <<color(12-2 PM)>>, Thursday, Friday, 1-2 PM, or OBA. (Syllabus updated.)—~-''<<DateTime(2013-10-13T19:34:38-0700)>>''-~ * There are some discussions of homework problems in the <<ln(https://griffin.ucsc.edu/forum,forum)>>. Check them out!—~-''<<DateTime(2013-10-05T10:46:20-0700)>>''-~ * '''~+Welcome back, students!+~''' |
* In doing homework 4.4, you would need to use the so-called ''(electric) dipole selection rule'' for the transition: $$ \Delta j = 0, \pm 1 (\text{ but no }j = 0 \rightarrow 0 \text{ transition}\quad, \Delta l = \pm 1,\quad, \Delta m_l = 0, \pm 1.$$ We will be able to derive the last two selection rules later on, but the first one will have to wait until you take the graduate level quantum mechanics.—~-''<<DateTime(2013-10-25T18:16:27-0700)>>''-~ |
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| <<h(<div style="margin-top: -1.0em; text-align: right;">)>>~-[[OldNews|Archived news items can be found here]].-~<<h(</div>)>> |
Welcome to Phys 139B, 2013!
In doing homework 4.4, you would need to use the so-called (electric) dipole selection rule for the transition: $$ \Delta j = 0, \pm 1 (\text{ but no }j = 0 \rightarrow 0 \text{ transition}\quad, \Delta l = \pm 1,\quad, \Delta m_l = 0, \pm 1.$$ We will be able to derive the last two selection rules later on, but the first one will have to wait until you take the graduate level quantum mechanics.—6:16PM, Oct 25, 2013
Welcome to the second part of Quantum Mechanics!
In this course, you will learn how to use Quantum Mechanics, now that you have thoroughly learned, in 139A, what Quantum Mechanics is. (However, we will review the essentials of the formalism of Quantum Mechanics, as we begin 139B.) The topics to be covered include perturbation theories, the variational principle, scattering, the WKB approximation, the adiabatic principle and the Berry’s phase. These contents that you will learn will make you feel good, I believe, not only because you will learn to calculate things and apply your results to physical situations, but also because this process of using Quantum Mechanics will enrich your notion of what Quantum Mechanics really is all about.