Gittins, K.; Helffer, B. Courant-sharp Robin eigenvalues for the square: the case with small Robin parameter. (English. French summary) Zbl 1434.35025 Ann. Math. Qué. 44, No. 1, 91-123 (2020). MSC: 35P05 35J05 58J50 58J37 PDFBibTeX XMLCite \textit{K. Gittins} and \textit{B. Helffer}, Ann. Math. Qué. 44, No. 1, 91--123 (2020; Zbl 1434.35025) Full Text: DOI arXiv
Helffer, Bernard; Kachmar, Ayman From constant to non-degenerately vanishing magnetic fields in superconductivity. (English) Zbl 1361.82039 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 2, 423-438 (2017). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 78A25 35Q56 35B40 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{A. Kachmar}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 2, 423--438 (2017; Zbl 1361.82039) Full Text: DOI arXiv
Helffer, Bernard; Kachmar, Ayman Eigenvalues for the Robin Laplacian in domains with variable curvature. (English) Zbl 1364.35215 Trans. Am. Math. Soc. 369, No. 5, 3253-3287 (2017). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P15 35J10 47F05 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{A. Kachmar}, Trans. Am. Math. Soc. 369, No. 5, 3253--3287 (2017; Zbl 1364.35215) Full Text: DOI arXiv
Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas Tunneling for the Robin Laplacian in smooth planar domains. (English) Zbl 1361.35119 Commun. Contemp. Math. 19, No. 1, Article ID 1650030, 38 p. (2017). MSC: 35P15 35P20 47F05 PDFBibTeX XMLCite \textit{B. Helffer} et al., Commun. Contemp. Math. 19, No. 1, Article ID 1650030, 38 p. (2017; Zbl 1361.35119) Full Text: DOI arXiv
Helffer, Bernard; Pankrashkin, Konstantin Tunneling between corners for Robin Laplacians. (English) Zbl 1319.35129 J. Lond. Math. Soc., II. Ser. 91, No. 1, 225-248 (2015). Reviewer: Jesús Hernández (Madrid) MSC: 35P15 35J05 47B25 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{K. Pankrashkin}, J. Lond. Math. Soc., II. Ser. 91, No. 1, 225--248 (2015; Zbl 1319.35129) Full Text: DOI arXiv
Cornean, Horia D.; Fournais, Søren; Frank, Rupert L.; Helffer, Bernard Sharp trace asymptotics for a class of \(2D\)-magnetic operators. (Asymptotiques précisées pour la trace d’une classe d’opérateurs de Schrödinger magnétiques en dimension 2.) (English. French summary) Zbl 1301.35070 Ann. Inst. Fourier 63, No. 6, 2457-2513 (2013). Reviewer: Guy Katriel (Haifa) MSC: 35P20 81V10 PDFBibTeX XMLCite \textit{H. D. Cornean} et al., Ann. Inst. Fourier 63, No. 6, 2457--2513 (2013; Zbl 1301.35070) Full Text: DOI arXiv
Helffer, Bernard; Kordyukov, Yuri A. Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator. (English) Zbl 1325.35123 Asymptotic Anal. 82, No. 1-2, 65-89 (2013). Reviewer: Takashi Ichinose (Kanazawa) MSC: 35P15 35J10 81Q10 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{Y. A. Kordyukov}, Asymptotic Anal. 82, No. 1--2, 65--89 (2013; Zbl 1325.35123) Full Text: DOI arXiv
Helffer, Bernard; Kordyukov, Yuri A. Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells. (English) Zbl 1247.35084 Commun. Partial Differ. Equations 37, No. 4-6, 1057-1095 (2012). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P20 35J10 47F05 81Q10 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{Y. A. Kordyukov}, Commun. Partial Differ. Equations 37, No. 4--6, 1057--1095 (2012; Zbl 1247.35084) Full Text: DOI arXiv
Helffer, Bernard; Kordyukov, Yuri A. Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator: the case of discrete wells. (English) Zbl 1218.58017 Braverman, Maxim (ed.) et al., Spectral theory and geometric analysis. International conference in honor of Mikhail Shubin’s 65th birthday, Northeastern University, Boston, MA, USA, July 29–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4948-4/pbk). Contemporary Mathematics 535, 55-78 (2011). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J37 58J50 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{Y. A. Kordyukov}, Contemp. Math. 535, 55--78 (2011; Zbl 1218.58017) Full Text: arXiv
Helffer, Bernard; Klein, Markus; Nier, Francis Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. (English) Zbl 1079.58025 Mat. Contemp. 26, 41-85 (2004). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 58J10 35J05 58J37 35P15 PDFBibTeX XMLCite \textit{B. Helffer} et al., Mat. Contemp. 26, 41--85 (2004; Zbl 1079.58025)
Helffer, Bernard Semiclassical analysis, Witten Laplacians, and statistical mechanics. (English) Zbl 1046.82001 Series on Partial Differential Equations and Applications 1. Singapore: World Scientific (ISBN 981-238-098-1/hbk). ix, 179 p. (2002). Reviewer: Mircea Puta (Timişoara) MSC: 82-02 82B10 58J37 58J50 81Q20 PDFBibTeX XMLCite \textit{B. Helffer}, Semiclassical analysis, Witten Laplacians, and statistical mechanics. Singapore: World Scientific (2002; Zbl 1046.82001)
Helffer, Bernard; Siedentop, Heinz A generalization of the Kustaanheimo-Stiefel transform for two-centre systems. (English) Zbl 0865.35097 Bull. Lond. Math. Soc. 28, No. 1, 33-42 (1996). Reviewer: H.Kalf (München) MSC: 35P20 35J10 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{H. Siedentop}, Bull. Lond. Math. Soc. 28, No. 1, 33--42 (1996; Zbl 0865.35097) Full Text: DOI
Helffer, Bernard; Knauf, Andreas; Siedentop, Heinz; Weikard, Rudi On the absence of a first order correction for the number of bound states of a Schrödinger operator with Coulomb singularity. (English) Zbl 0756.35061 Commun. Partial Differ. Equations 17, No. 3-4, 615-639 (1992). Reviewer: W.Hoh (Erlangen) MSC: 35P20 35S30 47G30 PDFBibTeX XMLCite \textit{B. Helffer} et al., Commun. Partial Differ. Equations 17, No. 3--4, 615--639 (1992; Zbl 0756.35061)
Helffer, B.; Sjöstrand, J. Puits multiples en mécanique semi-classique. VI: Cas des puits sous- variétés. (Multiple wells in semi-classical mechanics. VI: The case of submanifold wells). (French) Zbl 0648.35027 Ann. Inst. Henri Poincaré, Phys. Théor. 46, 353-372 (1987). Reviewer: J.Chrastina MSC: 35J10 35P05 58E05 35Q99 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{J. Sjöstrand}, Ann. Inst. Henri Poincaré, Phys. Théor. 46, 353--372 (1987; Zbl 0648.35027) Full Text: Numdam EuDML