gre Posted February 10, 2009 Posted February 10, 2009 Why does the hydrogen (3,2,1) wavefunction look so similar to the field lines generated on this CRT?
gre Posted February 10, 2009 Author Posted February 10, 2009 This 3D version even shows the quadrants with similar colors/patterns.
swansont Posted February 10, 2009 Posted February 10, 2009 Because both can be expressed with similar functions, i.e. they have the same symmetries. Choose the right function, and they will look similar.
gre Posted February 10, 2009 Author Posted February 10, 2009 What's the (wave) function for the magnetic field lines on the CRT? Also, will the patterns change if the magnet on the screen is heated or cooled, or if the electrons in the tube change velocity?
gre Posted February 13, 2009 Author Posted February 13, 2009 Anyone? Merged post follows: Consecutive posts mergedBecause both can be expressed with similar functions, i.e. they have the same symmetries. Choose the right function, and they will look similar. Yes, but do you think there could be similarities at a fundamental level as well?
Klaynos Posted February 19, 2009 Posted February 19, 2009 What do you mean by similarities? They are both electromagnetic... Although the origin of the shapes is very different, one is the solution to QM equations the other is not...
gre Posted February 19, 2009 Author Posted February 19, 2009 What is the solution to the CRT / magnet pattern shown?
swansont Posted February 19, 2009 Posted February 19, 2009 I don't think there's enough information to answer that question.
swansont Posted February 19, 2009 Posted February 19, 2009 You'd need to know information about the magnets and what kind of field you are getting — do you have a dipole? a quadrupole? Some linear superposition? — and what the screen looks like with no fields around and possibly more, to make even a qualitative statement about the pattern on the screen.
gre Posted February 19, 2009 Author Posted February 19, 2009 Well say the magnet is just a regular dipole (.5" cube) and its strength is 7000 Gauss (on the magnet's surface), and the screen is flat. The regular pattern on the screen is say just "static".
swansont Posted February 19, 2009 Posted February 19, 2009 It looks like there are a dozen magnets there.
gre Posted February 19, 2009 Author Posted February 19, 2009 There are, but I've put single neodymium magnetic up to a TV/crt screen and the same pattern will appear. And if there is just "static" on the screen, the same pattern will as well (with slight color variations).
Klaynos Posted February 19, 2009 Posted February 19, 2009 There are, but I've put single neodymium magnetic up to a TV/crt screen and the same pattern will appear. And if there is just "static" on the screen, the same pattern will as well (with slight color variations). Looks to me as if the results are VERY variable... The colours will depend on the CRT used. The shapes will depend on the magnet, it's shape, orientation, distance from the screen etc... There are ALOT of variables.
gre Posted February 20, 2009 Author Posted February 20, 2009 (edited) Looks to me as if the results are VERY variable... The colours will depend on the CRT used. The shapes will depend on the magnet, it's shape, orientation, distance from the screen etc... There are ALOT of variables. I'm mostly wondering about the general shape of the field/electrons, not so much the colors. Apparently the TV crt produces a different pattern than a monitor crt (if the video above is using a regular 2-pole magnet) .. Here's a video by MIT's physics department. This was done with a older TV. http://www.youtube.com/watch?v=YbzBTdU7iRU&feature=related Another question: Would the temperature of the magnet also affect the pattern shown on the screen? For example, if the magnet was cooled to (near) absolute 0, would the pattern still be the same? Thanks, Greg Edited February 20, 2009 by gre
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