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Found 1,253 Documents (Results 1–100)

On the delocalization of a quantum particle under the adiabatic evolution generated by a one-dimensional Schrödinger operator. (English. Russian original) Zbl 07638248

Math. Notes 112, No. 5, 726-740 (2022); translation from Mat. Zametki 112, No. 5, 752-769 (2022).
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The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach. (English. Russian original) Zbl 1482.81011

Theor. Math. Phys. 209, No. 2, 1537-1551 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 258-273 (2021).
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Trace formulas for the modified Mathieu equation. (English) Zbl 07438907

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., 427-443 (2021).
MSC:  47E05 34E05
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Direct and inverse scattering for the matrix Schrödinger equation. (English) Zbl 1460.34004

Applied Mathematical Sciences 203. Cham: Springer (ISBN 978-3-030-38430-2/hbk; 978-3-030-38433-3/pbk; 978-3-030-38431-9/ebook). xiii, 624 p. (2021).
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Generalized primitive potentials. (English. Russian original) Zbl 1479.35755

Dokl. Math. 101, No. 2, 117-121 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 47-52 (2020).
MSC:  35Q53 37K10 34L40
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An asymptotic expansion of the trace of the heat kernel of a singular two-particle contact interaction in one-dimension. (English) Zbl 1473.35130

Atay, Fatihcan M. (ed.) et al., Discrete and continuous models in the theory of networks. Selected contributions from the participants of the research group hosted by the ZiF – Center for Interdisciplinary Research, University of Bielefeld, Bielefeld, Germany, October 2012 – September 2017 and the final conference, University of Bielefeld, Bielefeld, Germany, November 27 – December 1, 2017. Cham: Springer. Oper. Theory: Adv. Appl. 281, 127-152 (2020).
MSC:  35J10 35K08
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Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg-de Vries equation. (English. Russian original) Zbl 1453.34108

St. Petersbg. Math. J. 31, No. 5, 903-910 (2020); translation from Algebra Anal. 31, No. 5, 206-215 (2019).
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On the transformation operator for the Schrödinger equation with an additional linear potential. (English. Russian original) Zbl 1447.81110

Funct. Anal. Appl. 54, No. 1, 73-76 (2020); translation from Funkts. Anal. Prilozh. 54, No. 1, 93-96 (2020).
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Inverse spectral problem for the Schrödinger equation with an additional linear potential. (English. Russian original) Zbl 1445.81018

Theor. Math. Phys. 202, No. 1, 58-71 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 66-80 (2020).
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Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. (English. Russian original) Zbl 1445.81021

Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (2020).
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The Lippmann-Schwinger formula and one dimensional models with Dirac delta interactions. (English) Zbl 1425.81092

Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 309-322 (2019).
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