Featured Comments: Week of 2013 September 8

There was one post that got one comment this past week, so I'll repost that one.

Featured Comments: Week of 2013 September 1

Reader Kaf Shiel said, "I tried Luna 2 last night but the desktop is dead (no point in clicking it at all) and the configuration of everything is not available (unless you really want to waste a few hours) also Planck is of no use at all as it is, since is just too basic and you can't configure anything on this OS without resorting to dConf and tons of work that don't really pay off... As for the comment that 'spend less time making it look and feel like i want to' i'm sorry but i like to do that, i like it personal... Distraction free? Nope! A dead desktop and a flintstones dock are bound to distract you a lot... It kinda gets in your nerves! Sorry but this one i have to "86" (cuisine chefs code). Best regards, Kaf".

Thanks to that commenter for that comment. This coming week, as with last week, I don't have any particular posts planned because of the business of the semester. Anyway, if you like what I write, please continue subscribing and commenting!

Featured Comments: Week of 2013 September 1

There was one post this week that got two comments, so I'll repost both of those.

Review: Elementary OS 2 "Luna"

Reader sgreen said, "and we need Elementary for ??. I know the developer just wants to keep busy. If there's anything that will ruin Linux it's this kind of crap. How many are in its user-base??"
An anonymous commenter disagreed: "I think the Elementary team are doing a great job. I find eOS to be very distraction-free. I spend less time in making it look and feel like I want to, because the developers have done that for me. Keep it up, guys! =)"

Thanks to both of those people for commenting on that post. As the semester has started and as I start to worry about graduate school applications, my frequency of writing new posts will generally go down, but I hope to have something written here from time to time. Anyway, if you like what I write, please continue subscribing and commenting!

Seventh Semester at College

How did I become a senior? It doesn't feel like orientation and freshman year happened that long ago.
Tomorrow is the first day of class for the 2013 fall semester. I'll be taking 8.07 — Electromagnetism II, 8.09 — Classical Mechanics III, 8.333 — Statistical Mechanics I (a graduate class), and 14.12 — Economic Applications of Game Theory. I'm looking forward to all of these classes along with continuing my UROP (which may transition sooner or later into a new project as I wrap up my current one). The bigger things I have to deal with though are graduate school applications and the Physics GRE. The latter will be over in a few weeks. The former will be going on until around the beginning of December, but I hope to be done a while before that. Hopefully this semester goes well. Good luck to everyone else for the start of their school year/job/whatever else!

Review: Elementary OS 2 "Luna"

Main Screen + Slingshot Menu

About 9 months ago, I checked out the first beta release of Elementary OS 2 "Luna". Since then, the final release has been put out for everyone to see and try, so I am trying it now. I tested this as a live USB made with UnetBootin. Follow the jump to see what it's like. Also note that I will not go over all the same things as I did last time, but I will take note of any changes.

Particles in the Continuous Quantum Field

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 to a traveling plane wave normal mode of wavevector $k$ and quantum mechanically corresponds to only the oscillator at the given normal mode index $k$ being in its first excited state (and all others being in their ground states). The excited state $|k\rangle$ has energy $E = \hbar v|k|$ above the ground state and overall momentum $p = \hbar k$ above the ground state. This post will discuss what the second and higher excited states are. Follow the jump to see more.

Operators and States of the Continuous Quantum Field

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.

Featured Comments: Week of 2013 August 18

There was one post this past week that got a few comments, so I'll repost one of those.

Cap and Trade and Soda

After 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 for apologizing about the previous comments). This coming week I will have a few more posts about quantum field theory out, but no reviews as I had promised, as that will likely have to wait until after I get back to campus next week. In the meantime, if you like what I write, please continue subscribing and commenting!

Diagonalizing and Quantizing the Continuous Field Hamiltonian

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.

Classical Discrete and Continuum Fields

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 feel like I could use a lot more help in visualizing and intuiting what certain concepts in canonical quantization mean. This will be the first of a few posts which are outlets for me to gather my thoughts and put them out there for you all to see and correct; this one will be about classical fields.

I feel like the easiest quantum field system to study is the phonon. It is a spin-0 bosonic system, so it can be described by a scalar field. Furthermore, said field can be restricted to one dimension, which simplifies the math even further. This means that taking the continuum limit becomes a bit easier than in three dimensions. Follow the jump to see how it goes.

Cap and Trade and Soda

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 that even if it is heavy-handed, it does help combat the obesity crisis by reducing access to drinking 16 ounces of soda at a time, because even if it is still technically possible for someone to fill up an 8-ounce cup twice, human psychology is such that said person would only fill up once, because for many people the convenience of filling up once trumps the desire to have as much as possible. I then wondered what other alternatives could be considered. The simplest alternative would seem to be a tax akin to taxes on cigarettes; if the large sodas are taxed heavily at such venues, people would naturally be discouraged from drinking as much. I have taken the class 14.03 — Microeconomic Theory and Public Policy, though, so I have seen that in many cases a Pigovian tax scheme like that may not achieve the most efficient outcome because it is difficult to adjust tax rates to control quantities precisely. Then I also remembered learning about cap and trade schemes to control quantities. Would that work? Let's take a look after the jump.