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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7d8c1cd-b929-42f8-b6f5-71ce85623ad3%2Fc38be1cf-06fc-4370-8c07-a33598aab77a%2Fhg5m5ri_processed.jpeg&w=3840&q=75)
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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