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Spectral density distribution moments of a Hamiltonian of N coupled Morse oscillators: The large‐ N limit
Author(s) -
Bancewicz Małgorzata
Publication year - 2002
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.10182
Subject(s) - hamiltonian (control theory) , coupling constant , gaussian , morse potential , physics , range (aeronautics) , distribution (mathematics) , quantum mechanics , limit (mathematics) , statistical physics , chemistry , mathematics , mathematical analysis , materials science , mathematical optimization , composite material
The expressions for moments of spectral density distribution of a Hamiltonian representing a system of N coupled Morse oscillators are reduced to the large‐ N limit. The effect of the values of coupling constants on the spectral density distribution is analyzed. For the values of coupling constants within the pertinent range for real molecules, the relations between moments appear to be close to those for a Gaussian distribution. Outside this range, the deviations from the normal distribution are substantial. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002