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The metric properties of the reduced nuclear configuration space
Author(s) -
Mezey Paul G.
Publication year - 1984
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.560260603
Subject(s) - configuration space , metric (unit) , differentiable function , manifold (fluid mechanics) , space (punctuation) , quantum , mathematics , metric space , pure mathematics , fisher information metric , function (biology) , physics , mathematical physics , quantum mechanics , injective metric space , computer science , mechanical engineering , operations management , engineering , economics , operating system , evolutionary biology , biology
A proof is given for the triangle inequality of distance function d in the reduced nuclear configuration space M , used in the differentiable manifold model of potential‐energy hypersurfaces [P. G. Mezey, Int. J. Quantum Chem. Quantum Chem. Symp. 17 , 137 (1983)]. This result completes the proof that M is indeed a metric space with metric d .