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Theoretical and computational aspects of extended wave functions
Author(s) -
CarbóDorca R.,
Karwowski J.
Publication year - 2001
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.1088
Subject(s) - wave function , dirac (video compression format) , schrödinger equation , dirac delta function , connection (principal bundle) , dirac equation , quantum , function (biology) , similarity (geometry) , physics , wave equation , schrödinger's cat , wave function collapse , basis (linear algebra) , mathematical physics , quantum mechanics , mathematics , quantum process , computer science , quantum dynamics , geometry , image (mathematics) , evolutionary biology , artificial intelligence , neutrino , biology
Abstract Relations between the extended wave functions defined by Carbó‐Dorca in connection with studies on quantum similarity problems and the wave functions of Schrödinger, Lévy‐Leblond, and Dirac equations are investigated. In particular, it is pointed out that solutions of the Lévy‐Leblond equation are equal to the appropriate extensions of the corresponding Schrödinger wave functions. The quantum mechanical continuity equation is applied to analyze the physical meaning of the extended wave functions. Finally, usefulness of the concept of the extended wave function in designing relativistic variational calculations in kinetically balanced basis sets is briefly discussed. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem 84: 331–337, 2001