Q1: 1. The Hamiltonian is represented by the matrix H = @ 0 2 0 Where o is positive real number. 0 2 (a) Find the eigenenergies for the Hamiltonian. (b) Calculate the eigenvectors corresponding to its eigenenergies.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.22P
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Q1:
The Hamiltonian is represented by the matrix H = @ 0
2 0
Where o is positive real number.
0.
0 2
(a) Find the eigenenergies for the Hamiltonian.
(b) Calculate the eigenvectors corresponding to its eigenenergies.
Transcribed Image Text:Q1: The Hamiltonian is represented by the matrix H = @ 0 2 0 Where o is positive real number. 0. 0 2 (a) Find the eigenenergies for the Hamiltonian. (b) Calculate the eigenvectors corresponding to its eigenenergies.
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