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Found 41 Documents (Results 1–41)

Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in \(\mathbb{R}^2\). (English) Zbl 1391.35020

Girouard, Alexandre (ed.) et al., Geometric and computational spectral theory. Lectures from the Séminaire de Mathématiques Supérieures, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, June 15–26, 2015. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-2665-1/pbk; 978-1-4704-4258-3/ebook). Contemporary Mathematics 700. Centre de Recherches Mathématiques Proceedings, 87-116 (2017).
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Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and Å. Pleijel’s analyses. (English) Zbl 1390.35209

Baklouti, Ali (ed.) et al., Analysis and geometry. MIMS-GGTM, Tunis, Tunisia, March 24–27, 2014. Proceedings of the international conference. In honour of Mohammed Salah Baouendi. Cham: Springer (ISBN 978-3-319-17442-6/hbk; 978-3-319-17443-3/ebook). Springer Proceedings in Mathematics & Statistics 127, 69-114 (2015).
MSC:  35P20 35B05 58J50
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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).
MSC:  58J37 58J50
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On spectral minimal partitions: the case of the sphere. (English) Zbl 1230.35072

Laptev, Ari (ed.), Around the research of Vladimir Maz’ya. III. Analysis and applications. Dordrecht: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-1-4419-1344-9/hbk; 978-1-4419-1345-6/ebook; 978-5-9018-7343-4/hbk). International Mathematical Series (New York) 13, 153-178 (2010).
MSC:  35P05 47F05 58J50
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Periodic magnetic Schrödinger operators: spectral gaps and tunneling effect. (English. Russian original) Zbl 1237.58029

Proc. Steklov Inst. Math. 261, 171-182 (2008); translation from Tr. Mat. Inst. Steklova 261, 176-187 (2008).
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