Equation of motion from matrix

intervoxel · Mar 2, 2012

How can I find the equation of motion of a system with the Hamiltonian in matrix form?

sambristol · Mar 3, 2012

I assume given the nature of the question you are adept with the mathematics but I am unsure if you are dealing with a quantum or classical mechanics problem. If it is classical you need to use a Poisson bracket see http://ocw.mit.edu/ans7870/18/18.013a/textbook/chapter16/section03.html
If it is a quantum problem then decompose the matrix in Dirac bra and ket eigenvectors

intervoxel · Mar 3, 2012

Thank you.

Equation of motion from matrix

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Equation of motion from matrix

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