, which is the definition of the excited-state expectation value T K f f of the operator ĥpso K,γ . Since ĥpso K,γ is imaginary, ω K f is zero, unless the final state f is degenerate. In the equations above, E f (ω f ) and Ēf (-ω f ) are the right and left CC excited state vectors, obtained by solving the right and left eigenvalue equations