UnkleRhaukus
  • UnkleRhaukus
Find eigenvectors of T \[\textbf{T} = \begin{pmatrix} 1 & 1-i \\ 1+i & 0 \\ \end{pmatrix}\] The eigenvalues are \[\lambda_{1,2}=-1,2 \in \mathbb{R}\]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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UnkleRhaukus
  • UnkleRhaukus
\[\textbf{T}|\alpha \rangle=\lambda_1|\alpha\rangle =-1|\alpha\rangle\]
UnkleRhaukus
  • UnkleRhaukus
\[2\alpha_1+(1-i)\alpha_2=-\alpha_1\quad{{(i)}}\]\[(1+i)\alpha_1+\alpha_2=-\alpha_2\quad{{(ii)}}\]
anonymous
  • anonymous
Linear algebra?

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UnkleRhaukus
  • UnkleRhaukus
well it is , . but this question is from a Quantum Mechanics text's appendix I can find the eigenvalues, i just can't find the eigenvalues
UnkleRhaukus
  • UnkleRhaukus
well this is just a simple eigenvalue problem , no QM required

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