P17.4 Show a. that (x) = e  = x² - 0²/ax²; and 2 ex²/2 is an eigenfunction of b. that B(x) (where  = x − a/ax) is another eigenfunc- tion of Â.

Physical Chemistry
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ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter10: Introduction To Quantum Mechanics
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Problem 10.10E: Indicate which of these expressions yield eigenvalue equations, and if so indicate the eigenvalue. a...
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P17.4 Show
a. that (x) =
2
 = x² - 0²/ax²; and
ex²/2 is an eigenfunction of
e
b. that B(x) (where  = x − a/ax) is another eigenfunc-
tion of Â.
Transcribed Image Text:P17.4 Show a. that (x) = 2  = x² - 0²/ax²; and ex²/2 is an eigenfunction of e b. that B(x) (where  = x − a/ax) is another eigenfunc- tion of Â.
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