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Logarithmic Spectral Phase Deformations: Observable Signatures and the Limits of Spontaneous Dephasing
general-relativity-and-quantum-cosmologyhigh-energy-physics-theorymathematical-physicsquantum-physics
We study a unitary deformation of the relation between a positive self-adjoint reference Hamiltonian $H$ and the generator of phase evolution, \begin{equation*} F_β(H) = H + βH \log(H/E_*). \end{equation*} Since $F_β(H)$ is a real function of $H$, it has the same eigenvectors, and it preserves unita
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