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Infinitely large quantum number

  1. Oct 1, 2014 #1
    Hi--could someone explain how can one calculate for the root mean square fluctation in position when an electron (confined in a box) is quantum-mechanical and happens to be in a state (an infinitely large quantum number n) and why?
    I do know how to calculate root mean square fluctation in position with the given function and n, as in (root-mean)2 = <x2> - <x>2 but am not sure how to do this with huge n value. Do I just use Schrodinger equation, where V (potential) is equal to 0?
  2. jcsd
  3. Oct 1, 2014 #2


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    Staff: Mentor

    You don't use Schrodinger's equation, you use a function that is a solution of Schrodinger's equation with the appropriate potential (which in this case is an infinite square well the width of the box). This is a common textbook exercise so googling for "infinite square well quantum" or the like will find you some worked examples.
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