1) In Quantum Mechanics, the Laplacian operator operates upon wave function w in cartesian coordinate is as the following; d'w a'y a'y V'y = By using curvilinear coordinate scale factors, show that the Laplacian operator operation in spherical coordinate is as the following: 1 d'y v'y sin 00)sin' 0 0p² ar Or sin 0 or

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1) In Quantum Mechanics, the Laplacian operator operates upon wave function w in
cartesian coordinate is as the following;
v’y =
By using curvilinear coordinate scale factors, show that the Laplacian operator
operation in spherical coordinate is as the following;
a( sine
1 d'y
' sin' 0 og
or
sin 0 ar
Transcribed Image Text:1) In Quantum Mechanics, the Laplacian operator operates upon wave function w in cartesian coordinate is as the following; v’y = By using curvilinear coordinate scale factors, show that the Laplacian operator operation in spherical coordinate is as the following; a( sine 1 d'y ' sin' 0 og or sin 0 ar
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