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Found 1,253 Documents (Results 1–100)

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Sergeev, V. A.; Fedotov, A. A.

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).
MSC:  35Q40 35Q41 35Q55 35Q35 35B40 35J05 35J10 35P20 76Q05 81Q20
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\textit{V. A. Sergeev} and \textit{A. A. Fedotov}, Math. Notes 112, No. 5, 726--740 (2022; Zbl 07638248); translation from Mat. Zametki 112, No. 5, 752--769 (2022)
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Li, Yan; Zhang, Ling; Hu, Beibei; Wang, Ruiqi

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).
MSC:  81Q05 35Q55 35Q15 35G31 65R10 34L40
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\textit{Y. Li} et al., Theor. Math. Phys. 209, No. 2, 1537--1551 (2021; Zbl 1482.81011); translation from Teor. Mat. Fiz. 209, No. 2, 258--273 (2021)
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Takhtajan, Leon A.

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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\textit{L. A. Takhtajan}, in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 427--443 (2021; Zbl 07438907)
Full Text: DOI arXiv
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Aktosun, Tuncay; Weder, Ricardo

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).
Reviewer: Jiři Lipovský (Hradec Králové)
MSC:  34-02 47-02 81-02 34L25 34L40
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\textit{T. Aktosun} and \textit{R. Weder}, Direct and inverse scattering for the matrix Schrödinger equation. Cham: Springer (2021; Zbl 1460.34004)
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Zakharov, V. E.; Zakharov, D. V.

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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\textit{V. E. Zakharov} and \textit{D. V. Zakharov}, Dokl. Math. 101, No. 2, 117--121 (2020; Zbl 1479.35755); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 47--52 (2020)
Full Text: DOI arXiv
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Kechriniotis, Aristides I.; Tsonos, Christos A.; Delibasis, Konstantinos K.; Tsigaridas, Georgios N.

On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials. (English) Zbl 1451.81230

Commun. Theor. Phys. 72, No. 4, Article ID 045201, 12 p. (2020).
MSC:  81Q05 34L40 81V10
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\textit{A. I. Kechriniotis} et al., Commun. Theor. Phys. 72, No. 4, Article ID 045201, 12 p. (2020; Zbl 1451.81230)
Full Text: DOI arXiv
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Egger, Sebastian

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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\textit{S. Egger}, Oper. Theory: Adv. Appl. 281, 127--152 (2020; Zbl 1473.35130)
Full Text: DOI arXiv
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Sukhanov, V. V.

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).
MSC:  34L05 34A55 34L40 34A05
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\textit{V. V. Sukhanov}, St. Petersbg. Math. J. 31, No. 5, 903--910 (2020; Zbl 1453.34108); translation from Algebra Anal. 31, No. 5, 206--215 (2019)
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Khanmamedov, A. Kh.; Makhmudova, M. G.

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).
MSC:  81Q05 34L40 81U40 34A55 45A05 33C10
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\textit{A. Kh. Khanmamedov} and \textit{M. G. Makhmudova}, Funct. Anal. Appl. 54, No. 1, 73--76 (2020; Zbl 1447.81110); translation from Funkts. Anal. Prilozh. 54, No. 1, 93--96 (2020)
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Khanmamedov, A. Kh.; Makhmudova, M. G.

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).
MSC:  81Q05 34L40 81U40 33C10 34A12
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\textit{A. Kh. Khanmamedov} and \textit{M. G. Makhmudova}, Theor. Math. Phys. 202, No. 1, 58--71 (2020; Zbl 1445.81018); translation from Teor. Mat. Fiz. 202, No. 1, 66--80 (2020)
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Alhaidari, A. D.

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).
MSC:  81Q10 34L40 34L05 33C45 34A25
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\textit{A. D. Alhaidari}, Theor. Math. Phys. 202, No. 1, 17--29 (2020; Zbl 1445.81021); translation from Teor. Mat. Fiz. 202, No. 1, 20--33 (2020); correction ibid. 205, No. 1, 1391 (2020)
Full Text: DOI arXiv
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Erman, Fatih; Gadella, Manuel; Uncu, Haydar

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).
MSC:  81U05 81Q05 81Q40 81Q10 34L40
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\textit{F. Erman} et al., in: 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. 309--322 (2019; Zbl 1425.81092)
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