a) Determine the quantum mechanical operators for the following: Lx=yPz - ZPy That is, find Îx = ŷêz - îîy where x = x i.e. êx ћд і дх == Ly = ZPx − XPz Îy = ÎÔx – ÂÔz ŷ = y Py = b) Determine the commutator ћд i dy 2= Z Lz = xpy-YPx Lz = xpy - YPx êz = [θ‚΂] = (θ‚΂ – ΂΂x)ƒ(xy-2) = ? y (x,y,z) ћд і дz
a) Determine the quantum mechanical operators for the following: Lx=yPz - ZPy That is, find Îx = ŷêz - îîy where x = x i.e. êx ћд і дх == Ly = ZPx − XPz Îy = ÎÔx – ÂÔz ŷ = y Py = b) Determine the commutator ћд i dy 2= Z Lz = xpy-YPx Lz = xpy - YPx êz = [θ‚΂] = (θ‚΂ – ΂΂x)ƒ(xy-2) = ? y (x,y,z) ћд і дz
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![a) Determine the quantum mechanical operators for the
following:
Lx=yPz - ZPy
That is, find
Îx = ŷêz - 2py
where
x = x
êx
=
ћд
і дх
Ly = Zpx - xPz
Îy = 2px - xôz
ŷ = y
Py
=
b) Determine the commutator
i.e. [θ‚΂] - -
=
x 'y
ħ a
і ду
2 = z
Lz = xpy - ypx
Û₂ = âÔy – ŷÂx
êz
=
(΂΂¸ – θÎx)ƒ(xx.2) = ?
L
y
ħ ə
і дz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5d5c1cf-8d71-40ba-b4f4-8c440a2f628d%2F38b9b5d7-3e4a-47d9-99fe-5d02074842d9%2Fqhulozm_processed.png&w=3840&q=75)
Transcribed Image Text:a) Determine the quantum mechanical operators for the
following:
Lx=yPz - ZPy
That is, find
Îx = ŷêz - 2py
where
x = x
êx
=
ћд
і дх
Ly = Zpx - xPz
Îy = 2px - xôz
ŷ = y
Py
=
b) Determine the commutator
i.e. [θ‚΂] - -
=
x 'y
ħ a
і ду
2 = z
Lz = xpy - ypx
Û₂ = âÔy – ŷÂx
êz
=
(΂΂¸ – θÎx)ƒ(xx.2) = ?
L
y
ħ ə
і дz
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