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  1. 2 Open Physics

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  1. 2 2012

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  1. 2 Amore P.

  2. 2 Fernandez F.

  3. 2 Rodriguez M.

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High-order connected moments expansion for the Rabi Hamiltonian

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Amore P., Fernandez F., Rodriguez M.
Open Physics
|
2012
|
vol. 10
|
issue 1
102-108
EN
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 Hamiltonian operator to a sufficiently large order. Our large-order results suggest that the CMX is not reliable for most practical purposes because the expansion exhibits considerable oscillations.
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Accurate calculation of the eigenvalues of non-uniform strings and membranes

100%
Amore P., Fernandez F., Rodriguez M.
Open Physics
|
2012
|
vol. 10
|
issue 4
913-925
EN
We describe a pseudospectral approach which combines a mapping procedure with the principle of minimal sensitivity to obtain accurate estimates for the eigenvalues of non-uniform strings and both uniform and nonuniform membranes. We illustrate the method on specific examples, including the case of a cross shaped membrane, with arms of infinite length.
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