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Energy‐dependent scaling of the Dirac equation
Author(s) -
Karwowski Jacek,
Pestka Grzegorz
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.22240
Subject(s) - hamiltonian (control theory) , eigenvalues and eigenvectors , scaling , wave function , bounded function , energy spectrum , dirac equation , algebraic number , mathematical physics , representation (politics) , physics , quantum mechanics , two body dirac equations , mathematics , mathematical analysis , geometry , mathematical optimization , politics , political science , law
Using an energy‐dependent scaling, the Dirac Hamiltonian eigenvalue problem has been transformed to a Lévy–Leblond‐like equation. Its spectrum is bounded from below and the algebraic representation results in an algebraic eigenvalue problem for the large component of the Dirac wavefunction. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009