Chapter 3. Variational Principles for On-Shell Amplitudes

  1. Sadhan K. Adhikari

Published Online: 28 JAN 2005

DOI: 10.1002/3527602801.ch3

Variational Principles and the Numerical Solution of Scattering Problems

Variational Principles and the Numerical Solution of Scattering Problems

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