V. V. Belov, S. Yu. Dobrokhotov, S. O. Sinitsyn, “Asymptotic solutions of the Schrödinger equation in thin tubes”, Asymptotic expansions, approximation theory, topology, Trudy Inst. Mat. i Mekh. UrO RAN, 9, no. 1, 2003, 15–25; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S13

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2003, Volume 9, Number 1, Pages 15–25 (Mi timm253)

This article is cited in 10 scientific papers (total in 10 papers)

Asymptotic solutions of the Schrödinger equation in thin tubes

V. V. Belov, S. Yu. Dobrokhotov, S. O. Sinitsyn

Full-text PDF (651 kB) Citations (10)

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Received: 30.10.2002

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Document Type: Article

Language: Russian

Citation: V. V. Belov, S. Yu. Dobrokhotov, S. O. Sinitsyn, “Asymptotic solutions of the Schrödinger equation in thin tubes”, Asymptotic expansions, approximation theory, topology, Trudy Inst. Mat. i Mekh. UrO RAN, 9, no. 1, 2003, 15–25; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S13–S23

Citation in format AMSBIB

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\paper Asymptotic solutions of the Schr\"odinger equation in thin tubes

\inbook Asymptotic expansions, approximation theory, topology

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2003

\vol 9

\issue 1

\pages 15--25

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\jour Proc. Steklov Inst. Math. (Suppl.)

\yr 2003

\issue , suppl. 1

\pages S13--S23

Linking options:

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https://www.mathnet.ru/eng/timm/v9/i1/p15

This publication is cited in the following 10 articles:

V. P. Maslov, “Using methods of classical and quantum physics in bioenergy”, Theoret. and Math. Phys., 206:3 (2021), 391–395
D.I. Borisov, “The Emergence of Eigenvalues of a $\mathcal{PT}$ -Symmetric Operator in a Thin Strip”, Math. Notes, 98:6 (2015), 872–883
Borisov D., Cardone G., “Planar waveguide with “twisted” boundary conditions: Small width”, J Math Phys, 53:2 (2012), 023503
V. V. Grushin, “Asymptotic Behavior of Eigenvalues of the Laplace Operator in Thin Infinite Tubes”, Math. Notes, 85:5 (2009), 661–673
V. V. Grushin, “Asymptotic Behavior of the Eigenvalues of the Schrödinger Operator in Thin Closed Tubes”, Math. Notes, 83:4 (2008), 463–477
Belov V.V., Dobrokhotov S.Yu., Tudorovskiy T.Ya., “Operator separation of variables for adiabatic problems in quantum and wave mechanics”, Journal of Engineering Mathematics, 55:1–4 (2006), 183–237
V. V. Grushin, “Asymptotic Behavior of the Eigenvalues of the Schrödinger Operator with Transversal Potential in a Weakly Curved Infinite Cylinder”, Math. Notes, 77:5 (2005), 606–613
V. V. Grushin, “On the Eigenvalues of Finitely Perturbed Laplace Operators in Infinite Cylindrical Domains”, Math. Notes, 75:3 (2004), 331–340
V. V. Belov, S. Yu. Dobrokhotov, T. Ya. Tudorovskii, “Asymptotic Solutions of Nonrelativistic Equations of Quantum Mechanics in Curved Nanotubes: I. Reduction to Spatially One-Dimensional Equations”, Theoret. and Math. Phys., 141:2 (2004), 1562–1592
Belov V.V., Dobrokhotov S.Y., Tudorovskii T.Y., “Quantum and classical dynamics of an electron in thin curved tubes with spin and external electromagnetic fields taken into account”, Russian Journal of Mathematical Physics, 11:1 (2004), 109–119

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Trudy Instituta Matematiki i Mekhaniki UrO RAN

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