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Found 521 Documents (Results 1–100)

From complex analysis to operator theory: a panorama. In memory of Sergey Naboko. (English) Zbl 07730812

Operator Theory: Advances and Applications 291. Cham: Birkhäuser (ISBN 978-3-031-31138-3/hbk; 978-3-031-31141-3/pbk; 978-3-031-31139-0/ebook). xlvi, 698 p. (2023).
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Asymptotic eigenfunctions of the “bouncing ball” type for the two-dimensional Schrödinger operator with a symmetric potential. (English. Russian original) Zbl 1427.81031

Theor. Math. Phys. 199, No. 3, 849-863 (2019); translation from Teor. Mat. Fiz. 199, No. 3, 429-444 (2019).
MSC:  81Q05 35P05 35B40
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Time evolution of quadratic quantum systems: evolution operators, propagators, and invariants. (English. Russian original) Zbl 1419.81011

Theor. Math. Phys. 198, No. 3, 392-411 (2019); translation from Teor. Mat. Fiz. 198, No. 3, 451-472 (2019).
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Perturbation of threshold of the essential spectrum of the Schrödinger operator on the simplest graph with a small edge. (English. Russian original) Zbl 1426.34039

J. Math. Sci., New York 239, No. 3, 248-267 (2019); translation from Probl. Mat. Anal. 97, 15-30 (2019).
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Extended states for the Schrödinger operator with quasi-periodic potential in dimension two. (English) Zbl 1442.35003

Memoirs of the American Mathematical Society 1239. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3543-1/pbk; 978-1-4704-5069-4/ebook). v, 139 p. (2019).
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Asymptotics of wave functions of the stationary Schrödinger equation in the Weyl chamber. (English. Russian original) Zbl 1411.81090

Theor. Math. Phys. 197, No. 2, 1626-1634 (2018); translation from Teor. Mat. Fiz. 197, No. 2, 269-278 (2018).
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Four-parameter \(1/r^2\) singular short-range potential with rich bound states and a resonance spectrum. (English. Russian original) Zbl 1398.81083

Theor. Math. Phys. 195, No. 3, 861-873 (2018); translation from Teor. Mat. Fiz. 195, No. 3, 422-436 (2018).
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Adiabatic evolution generated by a Schrödinger operator with discrete and continuous spectra. (English. Russian original) Zbl 1342.35084

Funct. Anal. Appl. 50, No. 1, 76-79 (2016); translation from Funkts. Anal. Prilozh. 50, No. 1, 90-93 (2016).
MSC:  35J10 81Q05
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On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1336.81036

Russ. Math. 60, No. 1, 22-29 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 1, 27-35 (2016).
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Spectral properties of Schrödinger operators arising in the study of quasicrystals. (English) Zbl 1378.81031

Kellendonk, Johannes (ed.) et al., Mathematics of aperiodic order. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0902-3/hbk; 978-3-0348-0903-0/ebook). Progress in Mathematics 309, 307-370 (2015).
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Almost sure purely singular continuous spectrum for quasicrystal models. (English) Zbl 1339.81035

Exner, Pavel (ed.) et al., Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10–13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4618-13-7/hbk; 978-981-4618-15-1/ebook). 349-354 (2015).
MSC:  81Q05 82D25 81Q10
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Estimates for numbers of negative eigenvalues of Laplacian for Y-type chain of weakly coupled ball resonators. (English) Zbl 1339.81034

Exner, Pavel (ed.) et al., Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10–13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4618-13-7/hbk; 978-981-4618-15-1/ebook). 325-330 (2015).
MSC:  81Q05 35J05 47B25
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Algebraic calculation of the resolvent of a generalized quantum oscillator in a space of dimension \(D\). (English. Russian original) Zbl 1335.81073

Theor. Math. Phys. 185, No. 1, 1454-1461 (2015); translation from Teor. Mat. Fiz. 185, No. 1, 109-117 (2015).
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On compact perturbation of two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1320.81054

Russ. Math. 59, No. 6, 18-22 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 6, 24-30 (2015).
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Perturbation of threshold of essential spectrum for waveguides with windows. I: Decreasing resonance solutions. (English. Russian original) Zbl 1325.35119

J. Math. Sci., New York 205, No. 2, 141-181 (2015); translation from Probl. Mat. Anal. 77, 19-54 (2014).
MSC:  35P05 81Q10 47N50
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Discrete spectrum of a noncompact perturbation of a three-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1319.81038

Theor. Math. Phys. 182, No. 3, 381-396 (2015); translation from Teor. Mat. Fiz. 182, No. 3, 435-452 (2015).
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