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On the space of eigenvectors of molecular quantum mechanics
Author(s) -
Wulfman Carl
Publication year - 1994
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.560490310
Subject(s) - eigenvalues and eigenvectors , space (punctuation) , hilbert space , point (geometry) , physics , salient , quantum mechanics , quantum , classical mechanics , topology (electrical circuits) , theoretical physics , mathematics , computer science , geometry , combinatorics , artificial intelligence , operating system
As the representative point on an electronic energy surface moves along any closed level curve, the corresponding electronic eigenvectors behave as does the normal to a Moebius strip when its foot is moved around the strip. This introduces a topology into the space of eigenvectors that is not envisaged in the definition of Hilbert space, but is fundamental to molecular quantum mechanics. Salient properties of these “non‐Hilbertian” vector spaces are established. © 1994 John Wiley & Sons, Inc.