Méthode BKW formelle et spectre des molécules polyatomiques dans l'approximation de BornOppenheimer
Keyword(s):
We studied the spectrum of P = -h2Δx Δy + V (x,y) on L2(IRx3n × IRy3p), when h tends to zero, n [Formula: see text] 2, p [Formula: see text] IN*, in the case where the potential V(x,y) is singular and of Coulomb type and the first eigenvalue of Q (x) = -Δy + V(x,y) on L (IRy3p) admits an unbounded well. Using a formal version of the h-pseudodifferential calculus on the regularized operator of P with adapted changes, we obtained WKB-type expansions of eigenvalues and associated eigenfunctions of P.
Estimates for The First Eigenvalue of the Sturm–Liouville Problem with Potentials in Weighted Spaces
2019 ◽
Vol 244
(2)
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pp. 216-234
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2000 ◽
Vol 24
(1)
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pp. 43-48
2016 ◽
Vol 6
(4)
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pp. 365-391
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2017 ◽
Vol 473
(2204)
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pp. 20160877
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2002 ◽
Vol 267
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pp. 760-774
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1960 ◽
Vol 39
(1-4)
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pp. 18-34
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