Recent content by gtmcph

Thanks Ray, that's a good point. But the main question is how can we find general eigenvectors given nothing but this equation which the operator satisfies? This question was posed by my physics professor, so he seems convinced that it is indeed possible. Any ideas?

Homework Statement This is my first post, so forgive me if anything's out of order. Assumean operator A satisfies the following equation: 1+2A-A^2-2A^3=0 Find the eigenvalues and eigenvectors for A Homework Equations The Attempt at a Solution So the eigenvalues are +1,-1, and...