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The Hamiltonian matrix has been constructed using an orthonormal basis. (1 0 1 A = (2 1 0 )+0 2 2 (1 1 0\ A = A° + V and c is a constant. where 2 1 4/ 1 2 a) Find the exact eigenvalues of A.

The Hamiltonian matrix has been constructed using an orthonormal basis. (1 0 1 A = (2 1 0 )+0 2 2 (1 1 0\ A = A° + V and c is a constant. where 2 1 4/ 1 2 a) Find the exact eigenvalues of A.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The Hamiltonian matrix has been constructed using an orthonormal basis. (1 0 1 A = 2 1 0+0 2 2 \2 1 4. (1 1 0\ where H = Hº + V and c is a constant. 1 2 0. a) Find the exact eigenvalues of Ĥ. b) Use time-independent perturbation theory to determine the eigenvalues with corrections up to second order.
Transcribed Image Text:The Hamiltonian matrix has been constructed using an orthonormal basis. (1 0 1 A = 2 1 0+0 2 2 \2 1 4. (1 1 0\ where H = Hº + V and c is a constant. 1 2 0. a) Find the exact eigenvalues of Ĥ. b) Use time-independent perturbation theory to determine the eigenvalues with corrections up to second order.
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