Chapter 1. Mathematical Introduction

  1. Michael Baer1,2

Published Online: 28 MAR 2006

DOI: 10.1002/0471780081.ch1

Beyond Born-Oppenheimer: Conical Intersections and Electronic Nonadiabatic Coupling Terms

Beyond Born-Oppenheimer: Conical Intersections and Electronic Nonadiabatic Coupling Terms

How to Cite

Baer, M. (2006) Mathematical Introduction, in Beyond Born-Oppenheimer: Conical Intersections and Electronic Nonadiabatic Coupling Terms, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471780081.ch1

Author Information

  1. 1

    Soreq Nuclear Research Center Yavne, Israel

  2. 2

    The Fritz-Haber Research Center for Molecular Dynamics, The Hebrew University of Jerusalem, Jerusalem, Israel

Publication History

  1. Published Online: 28 MAR 2006
  2. Published Print: 15 MAR 2006

ISBN Information

Print ISBN: 9780471778912

Online ISBN: 9780471780083

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Keywords:

  • Hilbert space;
  • parallel transport law;
  • mass-scaled coordinates

Summary

This chapter contains sections titled:

  • Hilbert Space

  • Hilbert Subspace

  • Vectorial First-Order Differential Equation and Line Integral

  • Summary and Conclusions

  • Problem

  • References