Chuburin Yurii Pavlovich

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Total publications: 32
Scientific articles: 32

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Doctor of physico-mathematical sciences (2000)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 15.02.1951
E-mail: ,
Keywords: schroedinger operator, periodic potential, magnetic field, resonance, asymptotic behaviour of eigenvalue, asymptotic behaviour of eigenfunction.


Essential spectrum of the Schroedinger operator with potentials which are related to the crystal surface was described. The behaviour of bounded solutions of the Schroedinger equation with these potentials was investigated. The asymptotic formula for the eigenvalue (resonance) which appears for small perturbations of periodic potential was obtained. The asymptotic relation between Schroedinger operators with the potentials which correspond crystal film and semi-infinite and infinite crystals was investigated. The existance of the "large number" of non–localized solutions of the Schroedinger equation with limit periodic potential was prooved.


Graduated from Faculty of Mathematics of Voronezh State University in 1973 (department of the patrial differential equations). Ph.D. thesis was defended in 1979. D.Sci. thesis was defended in 2000. A list of my works contains more than 50 titles.

Main publications:
  • Chuburin Yu. P. Asimptoticheskoe predstavlenie Floke reshenii uravneniya Shredingera v sluchae poluogranichennogo kristalla // Teor. i matem. fizika, 1988, 77(3), 472–478.
  • Chuburin Yu. P. O  resheniyakh uravneniya Shredingera v sluchae poluogranichennogo kristalla // Teor. i matem. fizika, 1994, 98(1), 38–47.
  • Chuburin Yu. P. Ob uravnenii Shredingera dlya ploskoi plenki s predelno periodicheskoi reshetkoi // Teor. i matem. fizika, 1996, 106(1), 133–144.
  • Chuburin Yu. P. O malykh vozmuscheniyakh operatora Shredingera s periodicheskim potentsialom // Teor. i matem. fizika, 1997, 110(3), 443–453.
  • Chuburin Yu. P. O popadanii sobstvennogo znacheniya (rezonansa) operatora Shredingera na granitsu zony // Teor. i matem. fizika, 2001, 126(2), 196–205.
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
1. Existence of Majorana bound states in a superconducting nanowire near an impurity
Yu. P. Chuburin
TMF, 197:2 (2018),  279–289
2. Two-particle scattering in a periodic medium
Yu. P. Chuburin
TMF, 191:2 (2017),  304–318
3. Quasi-levels of the Hamiltonian for a carbon nanotube
L. E. Morozova, Yu. P. Chuburin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4,  76–83
4. “Layerwise” scattering for a difference Schrödinger operator
L. E. Morozova, Yu. P. Chuburin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 1,  58–65
5. Electron scattering by a crystal layer
T. S. Tinyukova, Yu. P. Chuburin
TMF, 176:3 (2013),  444–457
6. The discrete Schrödinger equation for a quantum waveguide
T. S. Tinyukova, Yu. P. Chuburin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 4,  80–93
7. Electron scattering at the domain wall
Yu. P. Chuburin
TMF, 166:2 (2011),  272–281
8. A discrete Schrödinger operator on a graph
Yu. P. Chuburin
TMF, 165:1 (2010),  119–133
9. Quasilevels of a two-particle Schrödinger operator with a perturbed periodic potential
Yu. P. Chuburin
TMF, 158:1 (2009),  115–125
10. Quasi-levels of the discrete Schrödinger equation with a decreasing potential on a graph
T. S. Tinyukova, Yu. P. Chuburin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 3,  104–113
11. On quasi-levels of the discret two-particle Schrödinger operator with a decreasing small potential
L. E. Baranova, Yu. P. Chuburin
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 1,  35–46
12. Decay law for a quasistationary state of the Schrödinger operator for a crystal film
Yu. P. Chuburin
TMF, 151:2 (2007),  248–260
13. Two-dimensional magnetic Schrodinger operator with a periodic exterior field
Yu. P. Chuburin
Izv. IMI UdGU, 2006, no. 1(35),  77–82
14. The levels of the two-particle Schrödinger operator corresponding to a crystal film
Yu. P. Chuburin
TMF, 147:2 (2006),  229–239
15. Perturbation Theory of Resonances and Embedded Eigenvalues of the Schrodinger Operator For a Crystal Film
Yu. P. Chuburin
TMF, 143:3 (2005),  417–430
16. On levels of the one-dimensional discrete Schrödinger operator with a decreasing small potential
L. E. Morozova, Yu. P. Chuburin
Izv. IMI UdGU, 2004, no. 1(29),  85–94
17. Schrödinger Operator Levels for a Crystal Film with a Nonlocal Potential
M. S. Smetanina, Yu. P. Chuburin
TMF, 140:2 (2004),  297–302
18. The Spectrum and Eigenfunctions of the Two-Dimensional Schrödinger Operator with a Magnetic Field
Yu. P. Chuburin
TMF, 134:2 (2003),  243–253
19. Schrödinger operator eigenvalue (resonance) on a zone boundary
Yu. P. Chuburin
TMF, 126:2 (2001),  196–205
20. Schrödinger operator with a perturbed small steplike potential
Yu. P. Chuburin
TMF, 120:2 (1999),  277–290
21. Resonance multiplicity of a perturbed periodic Schrödinger operator
Yu. P. Chuburin
TMF, 116:1 (1998),  134–145
22. On approximation of the “Membrane” Schrödinger operator by the “Crystal” operator
Yu. P. Chuburin
Mat. Zametki, 62:5 (1997),  773–781
23. On small perturbations of the Schrödinger equation with periodic potential
Yu. P. Chuburin
TMF, 110:3 (1997),  443–453
24. On Schrodinger equation for the plane film with the limit periodic lattice
Yu. P. Chuburin
TMF, 106:1 (1996),  133–144
25. Multidimensional discrete Schrödinger equation with limit periodic potential
Yu. P. Chuburin
TMF, 102:1 (1995),  74–82
26. Solutions of the Schrödinger equation in the case of a semiinfinite crystal
Yu. P. Chuburin
TMF, 98:1 (1994),  38–47
27. On the Schrödinger operator with a small potential in the case of a crystal film
Yu. P. Chuburin
Mat. Zametki, 52:2 (1992),  138–143
28. Floquet asymptotics of solutions of the Schrödinger equation in the case of a semi-infinite crystal
Yu. P. Chuburin
TMF, 77:3 (1988),  472–478
29. Scattering for the Schrödinger operator in the case of a crystal film
Yu. P. Chuburin
TMF, 72:1 (1987),  120–131
30. Vector-valued distributions and functions of operators
Yu. P. Chuburin
Dokl. Akad. Nauk SSSR, 231:6 (1976),  1304–1307
31. On the uniqueness of analytic continuation with respect to a parameter and the vanishing of cohomology with values in the sheaf of germs of holomorphic functions
Yu. P. Chuburin
Dokl. Akad. Nauk SSSR, 231:3 (1976),  551–554
32. On upper and lower values of a generalized function at a point
Yu. P. Chuburin
Mat. Zametki, 14:3 (1973),  339–348

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