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)>>, 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)>>''-~ | * 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)>>, 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. 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)>>''-~ |
Welcome to Phys 139B, 2013!
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. 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).—3:35PM, Oct 14, 2013
Office hours: Monday 12-2 PM, Thursday, Friday, 1-2 PM, or OBA. (Syllabus updated.)—7:34PM, Oct 13, 2013
There are some discussions of homework problems in the forum. Check them out!—10:46AM, Oct 05, 2013
Welcome back, students!
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.