Displaying similar documents to “Semiclassical asymptotics for exchange energy”

The spin of the ground state of an atom.

Charles L. Fefferman, Luis A. Seco (1996)

Revista Matemática Iberoamericana

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In this paper we address a question posed by M. and T. Hoffmann-Ostenhof, which concerns the total spin of the ground state of an atom or molecule. Each electron is given a value for spin, ±1/2. The total spin is the sum of the individual spins.

The time-dependent Born-Oppenheimer approximation

Gianluca Panati, Herbert Spohn, Stefan Teufel (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

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We explain why the conventional argument for deriving the time-dependent Born-Oppenheimer approximation is incomplete and review recent mathematical results, which clarify the situation and at the same time provide a systematic scheme for higher order corrections. We also present a new elementary derivation of the correct second-order time-dependent Born-Oppenheimer approximation and discuss as applications the dynamics near a conical intersection of potential surfaces and reactive...