Schrodinger equations on scattering manifolds and microlocal singularities (Spectral and Scattering Theory and Related Topics)

Autor: ITO, Kenichi, NAKAMURA, Shu

Publikováno v: 数理解析研究所講究録別冊. :91-100

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::229692f5f88590c6429d8f21f7e546e1
http://hdl.handle.net/2433/176844

Spectral asymptotics via the semiclassical Birkhoff normal form

Autor: Laurent Charles, San Vũ Ngọc

Publikováno v: Duke Math. J. 143, no. 3 (2008), 463-511
Duke Mathematical Journal
Duke Mathematical Journal, Duke University Press, 2008, 143 (3), pp.463--511
Duke Mathematical Journal, 2008, 143 (3), pp.463--511

This article gives a simple treatment of the quantum Birkhoff normal form for semiclassical pseudo-differential operators with smooth coefficients. The normal form is applied to describe the discrete spectrum in a generalised non-degenerate potential

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::216117b686a5a65fcbc831557e86412d
http://projecteuclid.org/euclid.dmj/1212500464