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Found 790 Documents (Results 1–100)

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Hundertmark, Dirk; Kunstmann, Peer Christian; Ried, Tobias; Vugalter, Semjon

Counting bound states with maximal Fourier multipliers. (English) Zbl 1479.35583

Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 197-207 (2021).
MSC:  35P15 35J10 81Q10
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\textit{D. Hundertmark} et al., in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 197--207 (2021; Zbl 1479.35583)
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Restuccia, A.; Sotomayor, A.; Shtraus, V. A.

On a limit pass from two-point to one-point interaction in a one dimensional quantum mechanical problem giving rise to a spontaneous symmetry breaking. (English) Zbl 07362751

Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 1, 75-90 (2021).
MSC:  47B25 47B50 81Q10 81R40
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\textit{A. Restuccia} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 1, 75--90 (2021; Zbl 07362751)
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Zhang, Xiao; Yang, Bo; Wei, Chaozhen; Luo, Maokang

Bounded solution structure of Schrödinger equation in the presence of the minimal length and its effect: bound states in the continuum are universal. (English) Zbl 1459.81130

Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105694, 16 p. (2021).
MSC:  81V45 35B25 81Q05 81Q15 81R60 81S40 35R11 81S07 46F10
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\textit{X. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105694, 16 p. (2021; Zbl 1459.81130)
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Zhang, Xiao; Yang, Bo; Wei, Chaozhen; Luo, Maokang

Quantization method and Schrödinger equation of fractional time and their weak effects on Hamiltonian: phase transitions of energy and wave functions. (English) Zbl 1452.81110

Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105531, 21 p. (2021).
MSC:  81Q05 26A33 81S08 81S07 35P05 82B26
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\textit{X. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105531, 21 p. (2021; Zbl 1452.81110)
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Tinyukova, Tat’yana Sergeevna; Chuburin, Yuriĭ Pavlovich

Investigation of eigenvalues and scattering problem for the Bogoliubov-de Gennes Hamiltonian near the superconducting gap edge. (Russian. English summary) Zbl 1479.81024

Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 30, No. 2, 259-269 (2020).
MSC:  81Q10 81Q15 47A10 47A40
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\textit{T. S. Tinyukova} and \textit{Y. P. Chuburin}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 30, No. 2, 259--269 (2020; Zbl 1479.81024)
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Lehrer, Raquel; Soares, Sergio H. Monari

Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations. (English) Zbl 1440.35056

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111841, 28 p. (2020).
MSC:  35J10 35J47 35Q55 35A01 35J20
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\textit{R. Lehrer} and \textit{S. H. M. Soares}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111841, 28 p. (2020; Zbl 1440.35056)
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Tinyukova, T. S.; Chuburin, Yu. P.

Majorana states near an impurity in the Kitaev infinite and semi-infinite model. (English. Russian original) Zbl 1427.82057

Theor. Math. Phys. 200, No. 1, 1043-1052 (2019); translation from Teor. Mat. Fiz. 200, No. 1, 137-146 (2019).
MSC:  82D40 35J08
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\textit{T. S. Tinyukova} and \textit{Yu. P. Chuburin}, Theor. Math. Phys. 200, No. 1, 1043--1052 (2019; Zbl 1427.82057); translation from Teor. Mat. Fiz. 200, No. 1, 137--146 (2019)
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Ovsiyuk, E. V.; Chichurin, A. V.; Voynova, Ya. A.; Red’kov, V. M.

Spin 1 particle with polarizability in the external Coulomb field, nonrelativistic description. (English) Zbl 1427.81034

Balan, Vladimir (ed.) et al., Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2018), Mangalia, Romania, August 30 – September 2, 2018. Bucharest: Geometry Balkan Press. BSG Proc. 26, 79-101 (2019).
MSC:  81Q05 33E30 34B30 81R25 81V10 78A35 47A10
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\textit{E. V. Ovsiyuk} et al., BSG Proc. 26, 79--101 (2019; Zbl 1427.81034)
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Laptev, Ari; Velicu, Andrei

Bound states of Schrödinger type operators with Heisenberg sub-Laplacian. (English) Zbl 1405.35027

Gesztesy, Fritz (ed.) et al., Non-linear partial differential equations, mathematical physics, and stochastic analysis. The Helge Holden anniversary volume on the occasion of his 60th birthday. Based on the presentations at the conference ‘Non-linear PDEs, mathematical physics and stochastic analysis’, NTNU, Trondheim, Norway, July 4–7, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-186-6/hbk; 978-3-03719-686-1/ebook). EMS Series of Congress Reports, 381-387 (2018).
Reviewer: Dian K. Palagachev (Bari)
MSC:  35J10 35H20 35P20
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\textit{A. Laptev} and \textit{A. Velicu}, in: Non-linear partial differential equations, mathematical physics, and stochastic analysis. The Helge Holden anniversary volume on the occasion of his 60th birthday. Based on the presentations at the conference `Non-linear PDEs, mathematical physics and stochastic analysis', NTNU, Trondheim, Norway, July 4--7, 2016. Zürich: European Mathematical Society (EMS). 381--387 (2018; Zbl 1405.35027)
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