a) Determine the quantum mechanical operators for the following: Lx=yPz - ZPy That is, find Lx = yêz – 2py where x = x i.e. êx = ћд і дх Ly = Zpx - xPz Îy = ÊÎÔx − ÑÔz ŷ = y Py b) Determine the commutator ħ ə == i dy 2 = Z Lz=xpy - yPx Û₂ = âÔy – ŷÊx Îz = [΂‚΂,] - (î‚΂, – ΂΂)ƒ‹xx.x) =? = (x,y,z) ћд і дz

Chemistry
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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a) Determine the quantum mechanical operators for the
following:
Lx=yPz - ZPy
That is, find
Îx = ŷÂz – îÔy
where
x = x
i.e.
îx =
ћд
і дх
Ly = zpx - xPz
Ly = 2px - xôz
y = y
Py
=
b) Determine the commutator
ħ a
і ду
2= Z
Lz = xpy - ypx
Îz = xôy - ŷêx
Îz
=
[θ‚΂] = (΂΂¸ − ΂΂x)ƒ(x,y,z) = ?
ћд
і дz
Transcribed Image Text:a) Determine the quantum mechanical operators for the following: Lx=yPz - ZPy That is, find Îx = ŷÂz – îÔy where x = x i.e. îx = ћд і дх Ly = zpx - xPz Ly = 2px - xôz y = y Py = b) Determine the commutator ħ a і ду 2= Z Lz = xpy - ypx Îz = xôy - ŷêx Îz = [θ‚΂] = (΂΂¸ − ΂΂x)ƒ(x,y,z) = ? ћд і дz
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