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Unformatted text preview: the same from any angle. 3.6.4.2 Solution harmdb Question: Show that the ground state wave function is maximal at the origin and, like all the other energy eigenfunctions, becomes zero at large distances from the origin. Answer: According to the answer to the previous question, the ground state is ψ 000 = 1 ( πℓ 2 ) 3 / 4 e − r 2 / 2 ℓ 2 . where r is the distance from the origin. Now according to the qualitative properties of exponentials, an exponential is one when its argument is zero, and becomes less than one when its argument becomes negative. So the maximum is at the origin r = 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

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