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Unformatted text preview: v v v C ( r, θ ) e i mφ v v v 2 =  C ( r, θ )  2 , is independent of φ . So to be in a state of deFnite angular momentum, the particle must be at all sides of the axis with equal probability. A macroscopic particle will at any given time be at a single angle compared to the axis, not at all angles at once. So, a macroscopic particle will have indeterminacy in angular momentum, just like it has indeterminacy in position, linear momentum, energy, etcetera. Since the probability distribution of an eigenstate is independent of φ , it is called “axisymmetric around the zaxis”. Note that the wave function itself is only axisymmetric if m = 0, in other words, if the angular momentum in the zdirection is zero. Eigenstates with di±erent angular momentum look the same if you just look at the probability distribution. 4.1.3 Square angular momentum...
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This note was uploaded on 01/06/2012 for the course PHY 3604 taught by Professor Dr.danielarenas during the Fall '11 term at UNF.
 Fall '11
 Dr.DanielArenas
 mechanics

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