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Solution of a mountain pass problem for the isomerization of a molecule with one free atom - MaRDI portal

Solution of a mountain pass problem for the isomerization of a molecule with one free atom (Q818762)

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scientific article; zbMATH DE number 5014015
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Solution of a mountain pass problem for the isomerization of a molecule with one free atom
scientific article; zbMATH DE number 5014015

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    Solution of a mountain pass problem for the isomerization of a molecule with one free atom (English)
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    21 March 2006
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    This paper continues the theme started in the previous work [Ann. Henri Poincaré 5, 477--521 (2004; Zbl 1062.81158)] and proves, within the non-relativistic Schrödinger approach and without any assumption at infinity, the existence of a mountain pass point (a so called transition state in quantum chemistry) for a neutral molecule that links its two distinct stable nuclear configurations.
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    Schrödinger equation
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    molecule
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    adiabatic chemical reaction
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    transition state
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