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Found 454 Documents (Results 1–100)

On expansions in the exact and asymptotic eigenfunctions of the one-dimensional Schrödinger operator. (English. Russian original) Zbl 1517.81051

Math. Notes 112, No. 5, 623-641 (2022); translation from Mat. Zametki 112, No. 5, 644-664 (2022).
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Exact solution of the position-dependent mass Schrödinger equation with the completely positive oscillator-shaped quantum well potential. arXiv:2212.13062

Preprint, arXiv:2212.13062 [quant-ph] (2022).
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New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials. (English) Zbl 1482.33007

Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 305-327 (2021).
MSC:  33C47 33C45 34L10
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Orthogonality relations for the primitives of Legendre polynomials and their applications to some spectral problems for differential operators. (English. Russian original) Zbl 1497.33012

Math. Notes 110, No. 4, 489-496 (2021); translation from Mat. Zametki 110, No. 4, 498-506 (2021).
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On eigenproblem for inverted harmonic oscillators. (English) Zbl 1484.34073

Banaszak, Grzegorz (ed.) et al., Arithmetic methods in mathematical physics and biology II. Proceedings of the 2nd international conference, Będlewo, Poland, August 5–11, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 124, 61-73 (2021).
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Discrete Schrödinger operator on a tree, Angelesco potentials, and their perturbations. (English. Russian original) Zbl 1458.39015

Proc. Steklov Inst. Math. 311, 1-9 (2020); translation from Tr. Mat. Inst. Steklova 311, 5-13 (2020).
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Erratum to: “Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity”. (English. Russian original) Zbl 1451.81235

Theor. Math. Phys. 205, No. 1, 1391 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 168 (2020).
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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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Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. (English. Russian original) Zbl 1441.81091

Theor. Math. Phys. 201, No. 3, 1742-1770 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 382-414 (2019).
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Ordinary differential operators and the integral representation of sums of certain power series. (English. Russian original) Zbl 1443.33034

Trans. Mosc. Math. Soc. 2019, 133-151 (2019); translation from Tr. Mosk. Mat. O.-va 80, No. 2, 157-177 (2019).
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