Analysis of a general theorem concerning two non-commuting Hermitian matrices: Quantum mechanical implications for ground and excited states

Journal of Mathematical Chemistry

Volumn 34, Issue 1-2, 2003, Pages 75-82

  Carbó Dorca, Ramon ^a   Bultinck, Patrick ^b  

^a UNIVERSITY OF GIRONA   (Spain)

^b GHENT UNIVERSITY   (Belgium)

Author keywords

Density Functional Theory; Hohenberg Kohn theorem

Indexed keywords

ANALYTIC METHOD; ARTICLE; MATHEMATICAL ANALYSIS; QUANTUM MECHANICS; THEORY;

EID: 1642578810     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025188705395     Document Type: Article

References (10)

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3. R. Carbó-Dorca, Shell partition and metric semispaces: Minkowski norms, root scalar products, distances and cosines of arbitrary order, Institute of Computational Chemistry Technical Report (IT-IQC-02-18), University of Girona (2002); Theoretical foundations of quantum quantitative structure-properties relationships, Institute of Computational Chemistry Technical Report (IT-IQC-01-29), University of Girona (2001).
4. I.M. Vinogradov, Encyclopaedia of Mathematics (Kluwer Academic Publishers, Dordrecht, 1992).
5. P. Hohenberg and W. Kohn, Phys. Rev. 136B (1964) 864.
6. K.D. Sen, E. Besalú and R. Carbó-Dorca, J. Math. Chem. 25 (1999) 253.
7. [7] G.H. Golub and Ch.F. van Loan, Matrix Computations (Johns Hopkins Press, Baltimore, MD, 1989); R.A. Horn and Ch. A. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1985); J.H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1965); E. Durand, Solutions numériques des équations algébriques (Masson & Cie., Paris, 1961).
8. G.H. Golub and Ch.F. van Loan, Matrix Computations (Johns Hopkins Press, Baltimore, MD, 1989); R.A. Horn and Ch. A. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1985); J.H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1965); E. Durand, Solutions numériques des équations algébriques (Masson & Cie., Paris, 1961).
9. G.H. Golub and Ch.F. van Loan, Matrix Computations (Johns Hopkins Press, Baltimore, MD, 1989); R.A. Horn and Ch. A. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1985); J.H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1965); E. Durand, Solutions numériques des équations algébriques (Masson & Cie., Paris, 1961).
10. G.H. Golub and Ch.F. van Loan, Matrix Computations (Johns Hopkins Press, Baltimore, MD, 1989); R.A. Horn and Ch. A. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1985); J.H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1965); E. Durand, Solutions numériques des équations algébriques (Masson & Cie., Paris, 1961).