Quantum Mechanics postulate


by PAPquestions
Tags: mechanics, postulate, quantum
PAPquestions
PAPquestions is offline
#1
Sep20-10, 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?
Phys.Org News Partner Physics news on Phys.org
Better thermal-imaging lens from waste sulfur
Scientists observe quantum superconductor-metal transition and superconducting glass
New technique detects microscopic diabetes-related eye damage
PAPquestions
PAPquestions is offline
#2
Sep21-10, 01:13 AM
P: 2
Heh, I found the way to solve it already!
arkajad
arkajad is offline
#3
Sep21-10, 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).


Register to reply

Related Discussions
Do I need Classical mechanics and waves in order to understand Quantum mechanics???? Academic Guidance 22
hydrogen atom obeying classical mechanics rather than quantum mechanics Introductory Physics Homework 6
Quantum Mechanics / measurement postulate Advanced Physics Homework 15
Experimental Quantum Transition Physics: A Necessary Heretical Postulate General Physics 0