Interval Arithmetic in Quantum Mechanics

  • Charles L. Fefferman
  • Luis A. Seco
Part of the Applied Optimization book series (APOP, volume 3)

Abstract

Quantum mechanics is an area which, over the last ten years or so, has sparked a respectable amount of rigorous computer assisted work (see, for example [9, 13, 20, 39, 38], and their applications in [10, 11, 12, 3, 4, 5,14,15,16,17,18,19, 20]). The purpose of this review is to select a piece of that body of work, and to give a more or less detailed account, both of the quantum mechanical problem surrounding the computer work and of the computer assisted proof itself. We hope this will be enlightening since much of the other computer assisted work in quantum mechanics shares many of the main features presented below.

Keywords

Nial Seco 

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Charles L. Fefferman
    • 1
  • Luis A. Seco
    • 2
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada

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