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Spectral density distribution moments of a Hamiltonian of N coupled Morse oscillators: The large‐N limit
Authors:Ma&#x  gorzata Bancewicz
Affiliation:Małgorzata Bancewicz
Abstract: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
Keywords:vibrational spectra  coupled Morse oscillators  spectral density distribution moments  kurtosis  large number of oscillators limit
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