a. Write out all the kinetic and potential energy terms for the energy operator for the neutral Li atom. You can represent the second derivative with respect to all spatial coordinates with a ². | b. Then write out what you would use for the approximate wavefunction for this atom. Which term(s) in your operator would you remove to allow you to solve the Schrödinger equation exactly? Write out the form of the energy that would result from this simplification.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter10: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 10.42E: In exercise 10.41a, the wavefunction is not normalized. Normalize the wavefunction and verify that...
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a. Write out all the kinetic and potential energy terms for the energy operator for the neutral Li atom. You can represent the second derivative with respect to all spatial coordinates with a V². |
b. Then write out what you would use for the approximate wavefunction for this atom. Which term(s) in your operator would you remove to allow you to solve the Schrödinger equation exactly? Write out the form of
the energy that would result from this simplification.
Transcribed Image Text:a. Write out all the kinetic and potential energy terms for the energy operator for the neutral Li atom. You can represent the second derivative with respect to all spatial coordinates with a V². | b. Then write out what you would use for the approximate wavefunction for this atom. Which term(s) in your operator would you remove to allow you to solve the Schrödinger equation exactly? Write out the form of the energy that would result from this simplification.
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