Expectation of position in a 2D system

  1. 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>?
     
  2. jcsd
  3. vela

    vela 12,512
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    You calculate
    $$\langle x \rangle = \iint \psi^*(x,y)\,x\,\psi(x,y)\,dx\,dy$$
     
  4. Could you explain this please? Where does the double intergral come from?
     
  5. vela

    vela 12,512
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    What does your textbook say about calculating an expectation value?
     
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