112 citations · 1.1k across the 124 of their papers we have counts for
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Further analysis of the connected moments expansion
Paolo Amore, Francisco M. Fernández, Martin Rodriguez
We apply the connected moments expansion to simple quantum--mechanical examples and show that under some conditions the main equations of the approach are no longer valid. In parti…
High--order connected moments expansion for the Rabi Hamiltonian
Paolo Amore, Francisco M. Fernández, Martin Rodriguez
We analyze the convergence properties of the connected moments expansion (CMX) for the Rabi Hamiltonian. To this end we calculate the moments and connected moments of the Hamiltoni…
The string of variable density: further results
Paolo Amore
We analyze the problem of calculating the solutions and the spectrum of a string with arbitrary density and fixed ends. We build a perturbative scheme which uses a basis of WKB-typ…
The string of variable density: perturbative and non-perturbative results
Paolo Amore
We obtain systematic approximations for the modes of vibration of a string of variable density, which is held fixed at its ends. These approximations are obtained iteratively apply…
Spectroscopy of annular drums and quantum rings: perturbative and nonperturbative results
Carlos Alvarado, Paolo Amore
We obtain systematic approximations to the states (energies and wave functions) of quantum rings (annular drums) of arbitrary shape by conformally mapping the annular domain to a s…