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 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