Hamiltonian modes Hermitean Hamiltonians

Now, it is possible to observe that since the passage from the representation III to representation II does not affect the effective Hamiltonian of the slow mode corresponding to the ground-state fast mode, when the Hamiltonian is Hermitean, it must be so if it is non-Hermitean, so that one may write, according to Eq. (203) ... [Pg.320]

Here, yf is the damping parameter of the first harmonics of the bending mode. Besides, the effective non-Hermitean Hamiltonians appearing in this last equation are those given by Eqs. (208) and (209), that is,... [Pg.325]

Besides, for situations involving indirect damping, the eigenvalue equation for the non-Hermitean effective Hamiltonian corresponding to the ground state of the high frequency mode is... [Pg.329]

Within the tensorial product basis, (in)) built up from the eigenvectors of the Hermitean harmonic Hamiltonians of the slow and fast modes, the eigenvectors are given by the expansion ... [Pg.334]

The different diagonal Hamiltonians H. ree, HBend. and H°, dealing, respectively, with the high frequency mode, the bending mode, and the H-bond bridge may be assumed to be the non-Hermitean ones given in Table IX, in which the zero-point... [Pg.338]

The eigenvalue equation of the non-Hermitean Hamiltonian (297) may be written in order to make explicit the angular frequency oo° of the fast mode and the corresponding direct damping parameter y° ... [Pg.363]

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