Isaac Scientific Publishing

New Horizons in Mathematical Physics

Lipmann-Schwinger Equations for a System of Multiband Energy-Eigenvalue Spectrum

Download PDF (264.1 KB) PP. 1 - 5 Pub. Date: March 1, 2018

DOI: 10.22606/nhmp.2018.21001

Author(s)

  • M.A. Grado-Caffaro*
    M.A. Grado-Caffaro and M. Grado-Caffaro- Scientific Consultants
  • M. Grado-Caffaro
    M.A. Grado-Caffaro and M. Grado-Caffaro- Scientific Consultants

Abstract

For the first time, we establish the Lippmann-Schwinger equations for a system of multiband energy-eigenvalue spectrum so that the involved time-independent Schrödinger wavefunctions become matrix elements. As a matter of fact, a supremum-seminorm of the total wavefunction matrix is estimated in terms of the same seminorm for the partial wavefunction matrix and for two key matrices of operators. In addition, an associated matrix-tensor formalism is presented.

Keywords

Lippmann-Schwinger equations; multiband eigenvalue spectrum; supremum-seminorm; matrices of operators; matrix formalism

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