The Hamiltonian operator y for the harmonic oscillator is given by Ĥ = - a h? d? + suw? â?, where l is the reduced mass and w = 27V is the angular 2µ dæ? pwx frequency. Is the function f(x) = x exp an eigenfunction of that Hamiltonian? 2h O No. Yes, and the eigenvalue is ħw. 2 O Yes, and the eigenvalue is hw. 3hw Yes, and the eigenvalue is 4
The Hamiltonian operator y for the harmonic oscillator is given by Ĥ = - a h? d? + suw? â?, where l is the reduced mass and w = 27V is the angular 2µ dæ? pwx frequency. Is the function f(x) = x exp an eigenfunction of that Hamiltonian? 2h O No. Yes, and the eigenvalue is ħw. 2 O Yes, and the eigenvalue is hw. 3hw Yes, and the eigenvalue is 4
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 10.40E
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Given:
Hamiltonian operator
is the reduced mass
is the angular frequency
To find: if is an eigenfunction of that Hamiltonian
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