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Unformatted text preview: a L z A = 1 2 h 1 2 h = 0 Measurements in which the zangular momentum is found to be h average out against those where it is found to be h , 4.3.2.2 Solution esdbb Question: Continuing the previous question, what are the standard deviations in energy, square angular momentum, and zangular momentum? Answer: Since the expectation value in energy is E 2 , as are the eigenvalues of each state, the standard deviation is zero. E = r 1 2 ( E 2 E 2 ) 2 + 1 2 ( E 2 E 2 ) 2 = 0 . This is expected since every measurement produces E 2 ; there is no deviation from that value. Similarly the standard deviation in L 2 is zero: L 2 = r 1 2 (2 h 2 2 h 2 ) 2 + 1 2 (2 h 2 2 h 2 ) 2 = 0 ....
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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, Angular Momentum, Energy, Momentum

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