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Unformatted text preview: n that produces a macroscopic amount of energy, 1 J, for macroscopic values m = 1 kg and x = 1 m? With that many energy levels involved, would you see the diFerence between successive ones? Answer: Putting the generic expression for the eigenvalues, E n = n 2 h 2 2 2 m 2 x equal to 1 J and plugging in the given numbers: n 2 (1 . 054 , 57 10 34 J s) 2 2 2 1 kg 1 m 2 = 1 J. Solving for n , you get n = 4.268,64 10 33 . Obviously, there is no way to distinguish that many energy levels. A calculator cannot even display all 34 digits of this number, even if you knew h to enough digits accuracy to compute 34 digits....
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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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