Q2: 0 0 The Hamiltonian is represented by the matrix H = u 0 0 1 Where u is positive real number. 1 0 (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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Q2:
0 0
The Hamiltonian is represented by the matrix H = u 0
0 1
%3|
Where u is positive real number.
0 1 0
(a) Find the eigenenergies for the Hamiltonian.
(b) Calculate the eigenvectors corresponding to its eigenenergies.
Transcribed Image Text:Q2: 0 0 The Hamiltonian is represented by the matrix H = u 0 0 1 %3| Where u is positive real number. 0 1 0 (a) Find the eigenenergies for the Hamiltonian. (b) Calculate the eigenvectors corresponding to its eigenenergies.
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