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Rayleigh–Ritz variation method and connected-moments expansions

Paolo Amore1 and Francisco M Fernández2

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We compare the connected-moments expansion (CMX) with the Rayleigh–Ritz variational method in the Krylov space (RRK). As a benchmark model we choose the same two-dimensional anharmonic oscillator already treated earlier by means of the CMX. Our results show that the RRK converges more smoothly than the CMX. We also discuss the fact that the CMX is size consistent while the RRK is not.


PACS

03.65.Ge Solutions of wave equations: bound states

02.30.Lt Sequences, series, and summability

02.30.Xx Calculus of variations

02.30.Em Potential theory

02.10.Ud Linear algebra

02.30.Mv Approximations and expansions

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 5 (November 2009)

Received 13 July 2009, accepted for publication 2 October 2009

Published 4 November 2009



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