By Yasuteru Shigeta, Hideaki Miyachi, Toru Matsui, Norisuke Yokoyama, Kimihiko Hirao (auth.), Dr. Piotr Piecuch, Prof. Jean Maruani, Prof. Gerardo Delgado-Barrio, Prof. Stephen Wilson (eds.)

Quantum mechanics is the elemental conception of topic at the microscopic scale. because of conceptual advances and growth in computing device know-how, its software to the examine of atomic and molecular structures, that is of relevance to chemistry, physics, biology, and fabrics technology, is a swiftly constructing examine region. Advances within the concept of Atomic and Molecular Systems is a two-volume choice of 33 papers that outline its innovative: they current contemporary theoretical and computational advancements that offer new insights into the constitution, homes, and behaviour of various atomic and molecular platforms. those papers are a range of a few of the main out-standing displays made on the thirteenth foreign Workshop on Quantum structures in Chemistry and Physics (QSCP-XIII), held at Lansing, Michigan, united states, in July 2008. because the QSCP-XIII workshop was once coordinated with the sixth Congress of the foreign Society for Theoretical Chemical Physics (ISTCP-VI) held at Vancouver, British Columbia, Canada, in July 2008 besides, 3 of the 33 papers integrated within the current volumes were written by means of ISTCP-VI participants.

The first quantity, with the subtitle Conceptual and Computational Advances in Quantum Chemistry, comprises 20 papers divided into six components. the 1st half makes a speciality of ancient overviews. the remainder 5 components, entitled "High-Precision Quantum Chemistry", "Beyond Nonrelativistic idea: Relativity and QED", "Advances in Wave functionality Methods", "Advances in Density practical Theory", and "Advances in thoughts and Models", concentrate on digital constitution thought and its foundations. the second one quantity, with the subtitle Dynamics, Spectroscopy, Clusters, and Nanostructures, comprises thirteen papers divided into 3 components: "Quantum Dynamics and Spectroscopy", "Complexes and Clusters", and "Nanostructures and intricate Systems".

These volumes jointly are a useful source to school, graduate scholars, and researchers drawn to theoretical and computational chemistry and physics, actual chemistry and chemical physics, molecular spectroscopy, and comparable components of technology and engineering.

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32 Y. Shigeta et al. We extended the QCD for the one-dimensional system to treat the multidimensional systems. We derived the EOMs with the 15N dimensional phase space. The energy conservation law and the other conservation law with respect to the cumulant variables were shown. We also proved the total momentum and total angular momentum conservation laws within the second-order QCD. As numerical examples, we performed four applications to simple systems. The first is one-dimensional Morse oscillator to test truncation scheme, since the quantal potential of the Morse potential can be evaluated exactly.

N! (100) where Greek characters denote the position cumulant variables. In order to avoid the particles escaping from the bottoms, we have added the well-like potential, which gives small influence on minima and transition states in the potential. 1fs, total time is 2ps, and a fourth-order Runge–Kutta integrator was used in our simulations. The initial conditions of the variables can be determined from the variational solutions of the EQPES. Here we first analyze the EQPES defined above in order to investigate static quantum isotope effects on the proton-transfer reactions.

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