Q1: 1 0 0 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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q1:
1 0
The Hamiltonian is represented by the matrix
H = w 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.
Transcribed Image Text:Q1: 1 0 The Hamiltonian is represented by the matrix H = w 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.
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