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-   -   Expectation of position in a 2D system (http://www.physicsforums.com/showthread.php?t=587166)

staraptor Mar15-12 01:33 AM

Expectation of position in a 2D system
 
How does on calculate the expectation of the position operator x in a 2D infinite potential well (in the xy plane)? Do we only work with the Psi to the Hamiltonian in that particular coordinate when finding <Psi|x|Psi>?

vela Mar15-12 03:12 AM

Re: Expectation of position in a 2D system
 
You calculate
$$\langle x \rangle = \iint \psi^*(x,y)\,x\,\psi(x,y)\,dx\,dy$$

staraptor Mar15-12 03:29 AM

Re: Expectation of position in a 2D system
 
Could you explain this please? Where does the double intergral come from?

vela Mar15-12 03:42 AM

Re: Expectation of position in a 2D system
 
What does your textbook say about calculating an expectation value?


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