Open AccessAsymptotic analysis for Schrödinger Hamiltonians via Birkhoff–Gustavson normal form
Author(s) -
Kaoutar Ghomari,
Bekkai Messirdi,
San Vũ Ngọc
Publication year - 2013
Publication title -
asymptotic analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.576
H-Index - 45
eISSN - 1875-8576
pISSN - 0921-7134
DOI - 10.3233/asy-131186
Subject(s) - schrödinger's cat , mathematics , mathematical physics , physics , meteorology
30 pagesThis article reviews the Birkhoff-Gustavson normal form theorem (BGNF) near an equilibrium point of a quantum Hamiltonian. The BGNF process is thereafter used to investigate the spectrum of Schrödinger operators in the 1:1, 1:2 and 1:3 resonances. A computer program is proposed to compute the coefficients of the BGNF up to any order
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