Construction of dynamics and time-ordered exponential for unbounded non-symmetric Hamiltonians
Construction of dynamics and time-ordered exponential for unbounded non-symmetric Hamiltonians
We prove under certain assumptions that there exists a solution of the Schrodinger or the Heisenberg equation of motion generated by a linear operator H acting in some complex Hilbert space H, which may be unbounded, not symmetric, or not normal. We also prove that, under the same assumptions, there …