
#1
Sep2010, 09:31 PM

P: 2

Hi I am new here and also new to QM.
I have encountered a problem about postulate 2 which is the superposition principle. Basically I understand the concept. However, when it comes to real question, I get stuck and can't proceed. Could anyone enlightens me how to get started with the problem below? Question: A psi(x) = [psi(x)]^2 Is A a linear operator? Is A a Hermitian? 



#2
Sep2110, 01:13 AM

P: 2

Heh, I found the way to solve it already!




#3
Sep2110, 02:53 AM

P: 1,412

BTW: You should start using the notation [tex](A\psi )(x)[/tex] instead of [tex]A\,\psi(x)[/tex]. It will help you to understand better the mathematical operations involved.
[tex](A\psi )(x)[/tex] reads: the value of the function [tex]A\psi[/tex] at the point x. Operators act on functions (as objects) and not on values of these functions (numbers). 


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