Question

Asked Sep 26, 2019

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It's a problem in the field of quantum mechanics.

Step 1

For simultaneous diagonalization of the matrix, the matrices specified by Ω and Λ must commute,

For the matrices to commute, their commutator brackets must evaluate to zero,

Step 2

Evaluating the commutator bracket, we have

Step 3

The commutator for Ω and Λ equals zero which proves that it is simultaneously diagonalizable

To calculate the eigenvectors of Ω, first calculate the eigenvalues of the Ω by using the characteristic equation

Ω-...

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