A weak KAM approach to the periodic stationary Hartree equation
نویسندگان
چکیده
Abstract We present, through weak KAM theory, an investigation of the stationary Hartree equation in periodic setting. More details, we study Mean Field asymptotics quantum many body operators thanks to various integral identities providing energy ground state and minimum value functional. Finally, multiple-well case is studied semiclassical Agmon metric.
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations And Applications Nodea
سال: 2021
ISSN: ['1420-9004', '1021-9722']
DOI: https://doi.org/10.1007/s00030-021-00719-2