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On operator inequalities as tools in quantum theory

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Summary

A brief survey of the use of operator inequalities in the modern quantum theory of matter is given. In particular the Rayleigh-Ritz variation principle is formulated in terms of operator inequalities, and the properties of outer and inner projections of self-adjoint operators and especially the molecular Hamiltonian and its resolvent are discussed in some detail.

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Authors and Affiliations

  1. Quantum Theory Project, Departments of Chemistry and Physics, University of Florida, 362 Williamson Hall, 32611, Gainesville, FL, USA

    Per-Olov Löwdin (Professor Emeritus)

  2. Uppsala University, Uppsala, Sweden

    Per-Olov Löwdin (Professor Emeritus)

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  1. Per-Olov Löwdin
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Löwdin, PO. On operator inequalities as tools in quantum theory. Theoret. Chim. Acta 85, 137–153 (1993). https://doi.org/10.1007/BF01374584

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  • DOI: https://doi.org/10.1007/BF01374584

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