Quantum mechanics problem: using the conversions of spherical to cartesian, prove that each expectation value, < x > , < y > , < z > , is zero for a unit normalized wave function.
Quantum mechanics problem: using the conversions of spherical to cartesian, prove that each expectation value, < x > , < y > , < z > , is zero for a unit normalized wave function.
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using the conversions of spherical to cartesian, prove that each expectation value, < x > , < y > , < z > , is zero for a unit normalized wave function.
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The wavefunction is a function of theta (? = R(r) Y( θ,φ ) ). When I worked through |Y|^2 the φ cancled out and is only a function of Y( θ) . So, all the work you did makes sense but the < z > to me.
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