X's expectation value in quantum physics

  • Thread starter Palindrom
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When I'm in a dimension higher than 1, do I need to integrate over all space (V) or only the x axis?
Thanks in advance.
 

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dextercioby
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Palindrom said:
When I'm in a dimension higher than 1, do I need to integrate over all space (V) or only the x axis?
Thanks in advance.
Let's consider a QM system whose states are described by the wavefunction
[itex] \psi (x,y,z) [/itex].You wish to calculate the expectation value for [itex]\hat{x} [/itex].That is nothing but the number.

[tex] <\hat{x}> =\int\int\int_{R^{3}} \psi^{*}(x,y,z) x \psi (x,y,z) [/tex]

I hope your wave function is normalized/normalizable.Else,you might encounter some problems with the integration above.

Daniel.
 

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