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Unformatted text preview: the same from any angle. 220.127.116.11 Solution harmd-b 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 expo-nentials, 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