Electro Tech is an online community (with over 170,000 members) who enjoy talking about and building electronic circuits, projects and gadgets. To participate you need to register. Registration is free. Click here to register now.
Welcome to our site! Electro Tech is an online community (with over 170,000 members) who enjoy talking about and building electronic circuits, projects and gadgets. To participate you need to register. Registration is free. Click here to register now.
The symbols are used to indicate the state of a spin 1/2 particle. The arrows indicate spin up (m = 1/2) or spin down (m = -1/2). The representation of these states in terms of column vectors is given in the middle of the page. They are operated on by the various 2x2 matrices called the Pauli matries.
Multivariable calculus is not much help with this part of quantum physics. Basic matrix algebra is necessary. This really requires a lot of background knowledge that should be provided by your instructor. I don't know how you can be expected to work problems without the necessary information.
Feyman Lectures in Physics Vol 3 is a good reference on basic quantum mechanics. They can be downloaded from scribd.
To be honest I don't see how you can be expected to do this work without good lectures from your instructor. This is hard material. I wish you good well.
I don't think you are going to find a set of video lectures that corresponds exactly to your syllabus. There are going to be lectures that correspond to various topics in the syllabus.
The lecturer sounds like he is going to discuss spin and Dirac notation, and perhaps inner products. How long it takes him to get there, I don't know.
The best that I can tell you is to look at each lecture, and see if it contains anything useful to you for your course.
You can skip the first hour of lecture 1, but starting at around 1:00 he begins talking about math that we have been discussing. Lecture 2 starts the discussion of electron spin and the math used to describe it. Lecture 2 is very good. It should answer many of the questions you had at the start of this thread.
Lecture 3 covers the postulates of quantum mechanics, some general theorems, and the mathematics of spin 1/2 particles in much detail. There is much work with the Pauli matrices although he doesn't use the term. All relates to the original question on this thread.
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.