Geodesic
Semi-classical Asymptotics for the Schrödinger Operator with Oscillating Decaying Potential
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 734-747

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DOI

We study the distribution of the discrete spectrumof the Schrödinger operator perturbed by a fast oscillating decaying potential depending on a small parameter $h$ .
DOI : 10.4153/CMB-2016-022-8
Mots-clés : 81Q10, 35P20, 47A55, 47N50, 81Q15, periodic Schrödinger operator, semi-classical asymptotics, effective Hamiltonian, asymptotic expansion, spectral shift function 
Dimassi, Mouez. Semi-classical Asymptotics for the Schrödinger Operator with Oscillating Decaying Potential. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 734-747. doi: 10.4153/CMB-2016-022-8
@article{10_4153_CMB_2016_022_8,
     author = {Dimassi, Mouez},
     title = {Semi-classical {Asymptotics} for the {Schr\"odinger} {Operator} with {Oscillating} {Decaying} {Potential}},
     journal = {Canadian mathematical bulletin},
     pages = {734--747},
     year = {2016},
     volume = {59},
     number = {4},
     doi = {10.4153/CMB-2016-022-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-022-8/}
}
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