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 <<la("HW-2.4.png", this image)>>. In the same image, you can find other information. For example, four completely equivalent statements, important for this problem, are noted in the green rectangle. The equivalence of these four statements can be proven based on Eqs. 3.19 and 3.20, alone. This is kind of demonstrated in this image, and you are ''not'' required to demonstrate it yourself. '''Just prove that $\langle n^{(0)} | {\underline n}^{(j+1)} \rangle = 0$ for any $j = 0, 1, 2, ...$ (using the proof by induction).'''—~-''<<DateTime(2013-10-14T15:35:34-0700)>>''-~ * 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!+~''' |
* If you like to submit your solutions to some or all problems of Homework 8, for extra credit, then the due date is: '''5 PM Dec 13 (Friday), if you plan to hand in your homework in person''', or 9 PM Dec 15 (Sunday), if you plan to submit your work by email or by forum posting (forum discussion is very much encouraged, as always).—~-''<<DateTime(2013-12-06T11:38:21-0800)>>''-~ |
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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!
If you like to submit your solutions to some or all problems of Homework 8, for extra credit, then the due date is: 5 PM Dec 13 (Friday), if you plan to hand in your homework in person, or 9 PM Dec 15 (Sunday), if you plan to submit your work by email or by forum posting (forum discussion is very much encouraged, as always).—12:38PM, Dec 06, 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.