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Error Estimates in the Variational Many-Boson Calculation
Phys. Rev. 136, A641 – Published 2 November, 1964
DOI: https://doi.org/10.1103/PhysRev.136.A641
Abstract
A simple test, recently suggested by Armstrong, is used to estimate the quality of the variational wave function first used by Aviles and Iwamoto in treating the ground state of the hard-sphere many-boson system. In this special case, Armstrong's method can be simplified by using a result obtained by Lieb in his recent work on the ground-state energy of the Bose gas. The wave function was previously used by the author to compute a first-order correction to the energy, due to a weak additional interaction outside the hard sphere. The errors in this computation are in good agreement with the estimates obtained by Armstrong's method.
References (9)
- B. H. Armstrong, Bull. Am. Phys. Soc. 9, 401 (1964) private communication
Omitted endnote
- [E. Merzbacher, Quantum Mechanics (John Wiley & Sons, Inc., New York, 1961), pp. 430-436]
- J. B. Aviles, Jr., Ann. Phys. (N.Y.) 5, 251 (1958)
- F. Iwamoto, Progr. Theoret. Phys. (Kyoto) 19, 597 (1958)
- R. J. Drachman, Phys. Rev. 121, 643 (1961)
- R. J. Drachman, Phys. Rev. 131, 1881 (1963)
- E. H. Lieb, Phys. Rev. 130, 2518 (1963)
- [6], T. T. Wu [Phys. Rev. 115, 1390 (1959)]