Quantum statistics of angular momentum

Discussion in 'Physics & Math' started by Bruinthor, Jan 26, 2016.

  1. danshawen Valued Senior Member

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    3,951
    Any reference on the subject can tell you that the Higgs boson, discovered at the LHC on July 4, 2012, is the fundamental boson of the Standard Modell of particle physics, that its mass is 125 GeV, and that it is the particle believed to be responsible for imparting inertia to electrons, quarks, gauge bosons (including itself) and their antiparticles. Read Lederman's and Carroll's books, which are both excellent.

    Any other questions? Read the books first. You may skip any part or link to descriptions of the Higgs field (of which the boson is an excitation) that represents the Higgs field as if it were an orthogonal crystalline lattice. It is much more. And less. It spins in both directions at once, and is the only spin invariant.

    These words are chosen carefully. Too many times here my meaning is misunderstood. A few here will never understand, and I can't help them.

    LeSage almost had it right. The ships have rollers designed to capture the wave energy, and the waves are rolling in every direction at once.

    Even quantum spin is not immune to the dictates of relativistic symmetry. If something is spinning, it must spin RELATIVE to something that is not spinning. Guess what that something else would be?

    It is the same reason that another symmetry, the conservation of energy works at its most fundamental level. The origin of time itself. Outraged yet? No references other than the folks here.
     
    Last edited: Feb 10, 2016
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  3. exchemist Valued Senior Member

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    Sorry "read the books" doesn't cut it, especially when the instruction to do so is followed by a rambling and unexplained analogy involving ships and rollers

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    . I think I sense Walter Mitty here and I've had enough of your fantasies for now. If a real physicist cares to come by and tell me that what you are saying makes sense, then I'll reappraise it. Until then, see you around, on another thread.

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  5. danshawen Valued Senior Member

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    Ok. Tell me if you can even find another physicist. There seems to be only 1-1/2 of them here, and I am the fractional part.
     
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  7. danshawen Valued Senior Member

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    You and a number of other adults from a puzzle party have completed a jigsaw puzzle except for one missing piece, which was almost finished late last night.

    If you treat every offer of help as though it were a piece offered by a four year old who offers help in the form of a different colored piece from another box, you might never be offered the other piece the child found under the same table you were working on.

    I know of at least one four year old most of us could learn something new from.

    Good luck finishing your puzzle.
     
  8. Bruinthor Registered Member

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    I have what I think is a valid method for calculating part of the solution to the statistics of angular momentum.
    Presuming a fix number of particles N, fixed jx^2+jy^2+jz^2== J(J+1) (where the j's are the angular momentum vector components) and a sum of jz over all N particles is Jz.
    For each particles assign a integer between -J and J then Sum[jz,{i,1,N}]==Jz
    Add J+1 to each term on the left and N(J+1) to the right. The result is a doubly restricted integer partition of N(J+1) into N parts with maximum size of 2J+1. From the list of all such partitions create a new list of the count the number of occurrences of each size (1 to 2J+1). The Bose-Einstein distribution is the average over all these counts. If the energy is fixed then throw out any list with a count greater than 1 and the average over the counts is the Fermi-Dirac distribution.
    Anyone know of any reference work in this area or relevant formulas?
     
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