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
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
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5d5c1cf-8d71-40ba-b4f4-8c440a2f628d%2F10180547-a139-4c6d-87ab-0313f0fe9905%2Fwseofa9_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 = 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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