MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}}); The last thing I discussed in the last post was about the energy eigenstates of the continuous field. The ground state $|0\rangle$ classically corresponds to there being no displacement in the chain at any spatial index $x$ and quantum mechanically corresponds to each oscillator for each normal mode index $k$ being in its ground state, while the first excited state $|k\rangle = a^{\dagger} (k)|0\rangle$ for a given $k$ classically corresponds...
Tuesday, 27 August 2013
Monday, 26 August 2013
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}}); In my last post about intuiting and visualizing quantum field theory, I discussed the diagonalization of the Hamiltonian and overall momentum and how they become operators. In this post I'm going to discuss more the meanings of the operators and associated quantum states of this field. Follow the jump to see more.Read more...
Sunday, 25 August 2013
There was one post this past week that got a few comments, so I'll repost one of those.Cap and Trade and SodaAfter an odd irritable initial pair of ranting comments, an anonymous reader followed up with this: "i apologize for my snide remarks before. i was just irritated. okay, so maybe there are a few other ingredients (like oils). it might be worth your while to check out OpenCola, which (or so i've heard online) tastes pretty close to Coke. http://en.wikipedia.org/wiki/OpenCola_(drink)".Thanks to that commenter for that (and especially also...
Saturday, 24 August 2013
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}}); In my previous post I discussed the intuition behind the classical acoustic field in one dimension. Now I'm going to talk about diagonalizing the Hamiltonian and making the step into quantum field theory. Follow the jump to see what it's like.Read more...
Friday, 23 August 2013
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}}); I've been reading various documents about quantum field theory over the last several weeks, specifically about the canonical quantization of quantum fields. In doing so, I've come to realize that quantum mechanics has a lot of crazy math and even crazier physical interpretations, and I just took that for granted, but now those things are coming back to haunt me in quantum field theory. It is very hard for me to wrap my head around, and I...
Thursday, 22 August 2013
A few days ago, my family and I went on vacation. On the way back, my family and I were discussing various things including some matters of politics. One thing that came up was some of New York City mayor Michael Bloomberg's recent actions. I expressed the view that the ban on soft drinks larger than 16 ounces seemed rather heavy-handed. (After reading a little more about the exceptions for fruit drinks along with sales at grocery stores, I'm a little more happy to see that, but I still feel the ban was heavy-handed.) I then heard the argument...
Friday, 16 August 2013
Wow. This summer has been incredibly busy, productive, and fun all at once. I can't believe it's already over!So what did I do this summer?My primary concern this summer was my UROP. I have been able to bring it very close to an end point; I wasn't able to finish it up completely, but I guess that was an unrealistic expectation because that's just not how science works. It doesn't wrap up cleanly; it's an ongoing process. I learned a whole lot more about Scheme and MEEP in the process, though, which was great.On a related note, another UROP project...
Sunday, 11 August 2013
There was one post this past week that got one comment, so I will repost that one.Review: Linux Mint 15 "Olivia" KDE + XfceAn anonymous reader said, "Looking at your screenshots from the KDE spin I don´t see them looking different from oxygen. Did you change them before taking the screenshots? Also a general thank you for reviewing distros."Thanks to that person for leaving that comment. This coming week, I'm going to be taking the GRE, so I definitely can't post anything until after Tuesday. After that, I may really only have time to put out...
Tuesday, 6 August 2013
I realize that I haven't posted anything in the last 2.5 weeks. That's because in that time I got quite busy with a combination of UROP work, video making for the MIT-K12 project, and studying for the General and Physics GREs. Given that I will be taking the General GRE in just over a week, and given that I will be going home for vacation shortly thereafter, I won't be able to post much after this for this month aside from a probable post reflecting...
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