Paolo Amore and Francisco M Fernández 2009 Phys. Scr. 80 055002 doi:10.1088/0031-8949/80/05/055002
Paolo Amore1 and Francisco M Fernández2
Show affiliationsWe 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.
03.65.Ge Solutions of wave equations: bound states
02.30.Lt Sequences, series, and summability
Issue 5 (November 2009)
Received 13 July 2009, accepted for publication 2 October 2009
Published 4 November 2009
Paolo Amore and Francisco M Fernández 2009 Phys. Scr. 80 055002
A Shakhashiro and U Sansone 2009 Metrologia 46 06004
Qian Tao et al 2010 J. Phys.: Condens. Matter 22 072201
Florian Bauer et al JHEP05(2004)026
D Carbone et al 2008 Nanotechnology 19 035304
Sau-Lon James Hu and Haujun Li 2008 Inverse Problems 24 035014
M Shahini et al 2009 Smart Mater. Struct. 18 095023
H-J von Martens et al 2004 Metrologia 41 09002
G Ratel and C Michotte 2003 Metrologia 40 06025
Alin Tirziu and Paul Fendley JHEP03(2004)027