Chapter 3. Variational Principles for On-Shell Amplitudes

  1. Sadhan K. Adhikari

Published Online: 28 JAN 2005

DOI: 10.1002/3527602801.ch3

Book Title

Variational Principles and the Numerical Solution of Scattering Problems

Variational Principles and the Numerical Solution of Scattering Problems

Additional Information

How to Cite

Adhikari, S. K. (2005) Variational Principles for On-Shell Amplitudes, in Variational Principles and the Numerical Solution of Scattering Problems, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527602801.ch3

Author Information

  1. Institute of Theoretical Physics, Universidade Estadual Paulista, São Paulo, Brazil

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 11 MAR 1998

ISBN Information

Print ISBN: 9780471181934

Online ISBN: 9783527602803

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Keywords:

  • on-shell amplitudes;
  • variational principles;
  • Fredholm integral equations;
  • Kohn variational principles;
  • variational basis-set methods;
  • Hulthén method;
  • Harris methods;
  • multichannel scattering;
  • R-matrix method;
  • variational least squares method

Summary

This chapter contains sections titled:

  • General Variational Principles

    • What Is a Variational Principle?

    • Variational Principles for Fredholm Integral Equations

  • Kohn Variational Principles

    • Formulation

  • Variational Basis-Set Methods

    • Kohn Method

    • Inverse Kohn Method

    • Hulthén Method

    • Variational R-Matrix Method

  • Harris Methods

    • Minimum-Norm Kohn and Inverse Kohn Methods

  • Anomalous Behavior

    • Anomaly-Free Methods

  • Multichannel Scattering

    • Kohn Methods

    • Variational R-Matrix Method

  • Optimized Minimum-Norm and Anomaly-Free Methods

    • Optimized Minimum-Norm Method

    • Optimized Anomaly-Free Method

  • Variational Least Squares Method

  • Notes and References

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