Is there a way to know qualitative information about energy spacing of bound sta

Question

Is there a way to know qualitative information about energy spacing of bound state energy?

Infinite square well.
V=0 -a/2<x<a/2
V=? otherwise
Bound state energy E? n^2
space beteween succesive energies increases at higher energy
(n+1)^2-n^2=2n+1

Harmonic Oscillator
V?x^2
E? n
space beteween succesive energies is the same at higher energy
n+1-n=1

Coloum potential
V?x^-1
E ?n^-2
space beteween succesive energies decreases at higher energy
1/(n+1)^2-1/n^2=(2n+1)/n^2(n+1)^2


For instance, How about triangular well
V(x)=|x| -?<x<?
Does space between successive bound energies increase or decrease at higher energy?
How can I know this?

Explanation / Answer

I searched and found out this...this is not my original answer but it might help you...i don,t know.

http://www.physicsforums.com/showthread.php?t=714728

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