Characteristic Function Approach to Density Matrix Calculations

  • Metin Demiralp


In this paper the system of ordinary differential equations which determines the density matrix elements is converted to a system of algebraic equations with the aid of a Laplace transform. Reorganization of the resulting equations makes it possible to deal with an inversion problem. The relation between the characteristic function and the solutions of these algebraic equations is demonstrated.


Characteristic Function Density Matrix Density Vector Hermitian Conjugate Inversion Problem 
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  1. 1.
    A.S. Davydov, “Quantum Mechanics”, Pergamon Press, New York (1965).Google Scholar
  2. 2.
    P. Lancaster, “Theory of Matrices”, Academic Press, New York (1969).Google Scholar
  3. 3.
    M. Demiralp, A characteristic function approach to the discrete spectrum of electrically charged particles, J. Math. Phys. (in print).Google Scholar
  4. 4.
    M. Demiralp, Exponential factor optimization in characteristic function method for electrically charged particles, presented at IV Int. Congress of Quant. Chem., Uppsala (June 1982).Google Scholar
  5. 5.
    G.A. Baker, Jr., “Essentials of Padé Approximants”, Academic Press, New York (1975).Google Scholar
  6. 6.
    G.A. Baker, Jr., and J.L. Gammel, “The Padé Approximants in Theoretical Physics”, Academic Press, New York (1970).Google Scholar
  7. 7.
    L.I. Schiff, “Quantum Mechanics”, McGraw-Hill, New York (1968).Google Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Metin Demiralp
    • 1
  1. 1.Applied Mathematics DepartmentMarmara Scientific and Industrial Research InstituteGebze-KocaeliTurkey

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