@article{golse:hal-01219496, TITLE = {{THE SCHR{\"O}DINGER EQUATION IN THE MEAN-FIELD AND SEMICLASSICAL REGIME}}, AUTHOR = {Golse, Fran{\c c}ois and Paul, Thierry}, URL = {https://polytechnique.hal.science/hal-01219496}, NOTE = {33 pages}, JOURNAL = {{Archive for Rational Mechanics and Analysis}}, PUBLISHER = {{Springer Verlag}}, VOLUME = {223}, PAGES = {57-94}, YEAR = {2017}, DOI = {10.1007/s00205-016-1031-x}, KEYWORDS = {Liouville equation ; Hartree equation ; Schr{\"o}dinger equation ; Mean-field limit ; Classical limit ; Vlasov equation ; Monge-Kantorovich distance}, PDF = {https://polytechnique.hal.science/hal-01219496v2/file/NSchroVlasovCORRFin.pdf}, HAL_ID = {hal-01219496}, HAL_VERSION = {v2}, }