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Linear integrability of wave functions
Author(s) -
Koga Toshikatsu,
Thakkar Ajit J.
Publication year - 1988
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.560340203
Subject(s) - reciprocal , space (punctuation) , position (finance) , wave function , function (biology) , momentum (technical analysis) , position and momentum space , physics , classical mechanics , reciprocal lattice , mathematics , mathematical analysis , quantum mechanics , computer science , philosophy , linguistics , finance , evolutionary biology , diffraction , economics , biology , operating system
Finiteness is usually imposed as a condition for physical admissibility of a wave function. Examination of this condition in both position‐ and momentum‐space shows that finiteness of the wave function at the origin in one space implies “linear” integrability in the reciprocal space, except in some pathological cases. Some implications of this result are discussed.