Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics electronic resource Theory and Computational Methods for Understanding Molecular Spectroscopy and Chemical Reactions / by Stavros C. Farantos.
Material type: TextSeries: SpringerBriefs in Molecular SciencePublication details: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XI, 158 p. 36 illus., 27 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319099880Subject(s): chemistry | Chemistry, Physical organic | Chemistry | Theoretical and Computational Chemistry | Physical ChemistryDDC classification: 541.2 LOC classification: QD450-801Online resources: Click here to access onlineIntroduction and Overview -- The Geometry of Hamiltonian Mechanics -- Dynamical Systems -- Quantum and Semiclassical Molecular Dynamics -- Numerical Methods -- Applications -- Epilogue -- Appendix.
This brief presents numerical methods for describing and calculating invariant phase space structures, as well as solving the classical and quantum equations of motion for polyatomic molecules. Examples covered include simple model systems to realistic cases of molecules spectroscopically studied. Vibrationally excited and reacting molecules are nonlinear dynamical systems, and thus, nonlinear mechanics is the proper theory to elucidate molecular dynamics by investigating invariant structures in phase space. Intramolecular energy transfer, and the breaking and forming of a chemical bond have now found a rigorous explanation by studying phase space structures.
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