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SCHRÖDINGER SECANT LOWER BOUNDS TO SEMIRELATIVISTIC EIGENVALUES

Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, Canada H3G 1M8, Canada

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and

WOLFGANG LUCHA

Institute for High Energy Physics, Austrian Academy of Sciences, Nikolsdorfergasse 18, A-1050 Vienna, Austria

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https://doi.org/10.1142/S0217751X07036312Cited by:11 (Source: Crossref)

Abstract

It is shown that the ground-state eigenvalue of a semirelativistic Hamiltonian of the form is bounded below by the Schrödinger operator m + β p² + V, for suitable β>0. An example is discussed.

Keywords:

PACS: 03.65.Ge

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References

E. E. Salpeter and H. A. Bethe, Phys. Rev. 84, 1232 (1951), DOI: 10.1103/PhysRev.84.1232. Crossref, Web of Science, ADS, Google Scholar
E. E. Salpeter, Phys. Rev. 87, 328 (1952), DOI: 10.1103/PhysRev.87.328. Crossref, Web of Science, ADS, Google Scholar
E. H. Lieb and M. Loss , Analysis ( American Mathematical Society , New York , 1996 ) . Google Scholar
R. L. Hall, W. Lucha and F. F. Schöberl, Int. J. Mod. Phys. A 17, 1931 (2002), DOI: 10.1142/S0217751X02010522. Link, Web of Science, Google Scholar
R. L. Hall, W. Lucha and F. F. Schöberl, J. Math. Phys. 43, 5913 (2002), DOI: 10.1063/1.1515381. Crossref, Web of Science, Google Scholar
R. L. Hall, W. Lucha and F. F. Schöberl, J. Math. Phys. 45, 3086 (2004), DOI: 10.1063/1.1767298. Crossref, Web of Science, ADS, Google Scholar
R. L. Hall and W. Lucha, J. Phys. A 38, 7997 (2005), DOI: 10.1088/0305-4470/38/37/005. Crossref, ADS, Google Scholar
R. L. Hall, J. Phys. A 25, 4459 (1992), DOI: 10.1088/0305-4470/25/16/021. Crossref, ADS, Google Scholar
R. L. Hall and N. Saad, Phys. Lett. A 237, 107 (1998), DOI: 10.1016/S0375-9601(97)00849-9. Crossref, Web of Science, ADS, Google Scholar
S. Boukraa and J.-L. Basdevant, J. Math. Phys. 30, 1060 (1989), DOI: 10.1063/1.528376. Crossref, Web of Science, Google Scholar

Vol. 22, No. 10

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Received 14 January 2007

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SCHRÖDINGER SECANT LOWER BOUNDS TO SEMIRELATIVISTIC EIGENVALUES

Abstract

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