Do you need help teaching physics or do you need help learning physics?
Well, a bit of both. As much as I am currently eating up physics books, I recognise my current inability to cope with university mathematics (I will start to address it). Luckily, I think I have also realized that the mathematics are paramount to the proper comprehension of quantum theory. I am asking for the help of people much more qualified than myself to assure as proper a representation of the theory as possible.
As far as "teaching" goes, the title I chose for the thread may be misleading. I am not a physics teacher, as stated in an earlier post, I am a high school student who will be presenting a project on quantum mechanics in my senior physics class. I know this is extremely ambitious. I am hoping to give the other students an enriching experience, presenting quantum mechanics to laypeople (and my teacher who probably has no idea what it is).
I thought it was important to start this thread to get opinions from physicists as to how I should present quantum mechanics, but it is also a lot easier on everybody than starting a new thread every time I have a little question.
So, HUP, what precisely is the problem you intend to solve? There are several in that movie clip. Put it in the form of a question for us. Be exact.
Firstly, I will describe the experiment in the video for those who would rather not watch (IMO it is worth your time though)
A laser beam is passed through a narrow slit. We can observe a red dot (from the laser) on a screen. We then progressively make the slit narrower and narrower and as we do so, the dot on the screen gets skinnier and skinnier. After a certain point, the slit becomes very small, so small in fact that the Heisenberg uncertainty relation comes into play. As we continue to make the slit narrower, we begin to know with increasing certainty the position of the photons passing through the slit. Therefore, the momentum of the photons becomes known with less certainty. What once was a narrow sliver of a dot on the screen now becomes wider and wider. COOL!
I thought this experiment was so darn cool that I had to replicate it, for my own fun and also for my presentation. I went shopping today and got all kinds of junk. I tried all kinds of stuff, but I do not get this counter-intuitive effect that silences nay-sayers. I tried a few things, but my main idea was to use a small wrench as the slit, it pretty much closes (looks closed to me, but a very small amount of light gets through. I also tried a vice and simply taking two pieces of metal and pushing them together, for the same function. I was using a small almost laser-like LED light (laser pointers are really, really expensive to do such a cheap experiment 30.00$).
Its kind of sad really that I do not know the equation that is my user name. As far as an exact problem, I do not have one. If I can make the above experiment work, I would love to prove mathematically that it works. blechman, I am assuming that when you ask me to describe precisely what the problem is, you are referring to numerical values. Nice round numbers would be nice, just to get the point across not to be all that accurate. Heck, if I used variables, I would be happy. I would like to be able to define "uncertainty" mathematically. ex. if you half the width of the slit, the momentum does what?
My teacher also demands that we offer up a math problem and solve it.
I am trying to know my material inside out, because I have heard that the teacher tends to ask very difficult/irrelevant questions.
For example: I have a Power Point slide after the De Broglie slide and before the Davisson-Germer slide about Bragg's law. It is a really quick slide and it's only point is to say: "At this time we had a tested law that explained how X-rays acted in a crystal, it is quite similar to the double-slit experiment." I think this is a logical thing to put there, but I am preparing for him to ask me the details about Bragg's law (like how it works mathematically), so I ether have to learn all this stuff (in this case not too hard) or get rid of this nice transitory slide.
He could also very well ask how to compute a wavefunction/the Schrodinger equation... :) (I'll try to be prepared for some of those)
or very precisely how the experiments are done/how a measurement is made (detector won't do; phosphor screen is better, hitting it with a photon won't do either)
So I make sure that I know as much as possible about every slide or I remove them if answering some pretty elaborate/irrelevant questions could be a doosy.
My Power Point is moving along nicely, I hope it is just about done. I am going to list what I currently have, along with my opinion of the slide, if any of you feel like leaving feedback. Nothing below is necessarily the exact wording or even all the wording, in fact I will be presenting in French. These are also not the titles of the slides.
1.title page
2.cute little introduction page (have not do it yet)
3.Newton though light was a particle (very short, might delete it)
4.Young's experiment (will demonstrate)
5.Interference (nice pictures, I hope to add a little math to this one)
6.Explaining the result of Young's experiment had it been particles (proving light is a wave)
7.Black body radiation (to solve a problem Max Plank had to put energy as discrete packets)
8.Planck's constant (don't really know what to put here)
9.The photo-electric effect (Einstein used some of Planck's work to explain an existing phenomenon, light has particle qualities)
I feel that slides 7,8,9 are essential to just briefly talk about the quantification of energy(this is quantum mechanics after all), the particle nature of light (and to show people to Einstein’s contribution to QM) and Planck's constant as a universal constant and quite important in quantum mechanics. This is the area I feel maybe the least comfortable about, because I think I will got bogged down with questions that are relevant to quantum mechanics, but off my course. (How does the photoelectric effect work, what is a black body, and what equation did Planck use...)
10.De Broglie hypothesis (What if particles acted like waves? I want to over-simplify this one and use E=mc^2 to explain his idea)
11.Bragg's law (just saying enough to set up the next slide)
12.Davisson-Germer experiment (particles do have wave properties)
13.Showing the observed interference of the Davisson-Germer experiment
14.C60 the largest molecule diffracted so-far (Is this still the case? Could I say interfered?)
15.The observed effects when the Davisson-Germer experiment is done one particle at a time
16.The observed effects when we try to see what slit a particle goes through
17.Here I would like to do a slide stating that all possible outcomes happen and interfere with themselves until an observation is made. (This is pretty deep though and might warrant a question that I can not even imagine)
18.Here I would like to talk about measurement in quantum mechanics (just before the uncertainty principle to keep them separate)
19.The uncertainty principle/Werner Heisenberg (stating the principle, maybe talking about what a particle in a box does when we make the box smaller and smaller and mentioning that Heisenberg helped develop matrix mechanics)
20.Erwin Schrodinger (show his equation, say that he computed quantum mechanics with a wave equation, making sure that the students know that it is not a classical wave)
21.P.A.M. Dirac (combined Heisenberg and Schrodinger into a better theoretical framework, show a bra-ket)
22.A brief talk about probability waves (this is a time where I want to re-emphasise that all possible outcomes happen and interfere with each-other until the system is observed. I also want to talk about the probabilistic nature of quantum mechanics, that probabilities exist not because we do not know enough, but that a particle can be in many states at the same time. I also want to re-emphasise that we are not talking about classical particles and waves, but things that really are neither)
23.A picture with all the probability clouds for atoms
24.Quantum tunnelling
25.Quantum tunnelling
26.Stellar Nucleosynthesis (as a quantum tunnelling phenomenon)
27.Alpha radiation (as well as half-life, re-emphasising the probabilistic nature)
28.Conclusion
I had to do a similar thing in my physics class only i had to talk about bucky balls for 5 minutes. I just talked about carbon nano tubes and put a large spinning picture up of one and the teacher was impressed. The secret is to distract them with nice pictures and make up the rest, no one will argue with you ;)...oj
Nice pictures make a big difference. I agree with you, I seek out visual aids but also really cool pictures.