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On the relation between the connected-moments expansion and the Lanczos variational scheme

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Il Nuovo Cimento D

Summary

The recently introduced Connected-Moments Expansion (CMX) is compared to a variational Lanczos scheme for estimating ground-state energies of many-body systems. A systematic approach is given for three quantum-mechanical systems: harmonic oscillator, anharmonic oscillator and the Kondo model. A second-order analysis is given in terms of particular ratios of moments of the Hamiltonian.

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Author information

Author notes

  1. D. Schwall

    Present address: Department of Physics, University of Connecticut, 06269, Storrs, CT

Authors and Affiliations

  1. Department of Physics, Fordham University, 10458, Bronx, NY

    J. D. Prie, D. Schwall, J. D. Mancini & D. Kraus

  2. Science Department, SUNY Maritime College, Fort Schuyler, 10465, Bronx, NY

    W. J. Massano

Authors
  1. J. D. Prie
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  2. D. Schwall
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  3. J. D. Mancini
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  4. D. Kraus
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  5. W. J. Massano
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Prie, J.D., Schwall, D., Mancini, J.D. et al. On the relation between the connected-moments expansion and the Lanczos variational scheme. Nuov Cim D 16, 433–448 (1994). https://doi.org/10.1007/BF02463732

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  • DOI: https://doi.org/10.1007/BF02463732

PACS 71.10

PACS 71.20.Ad

PACS 02.60

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