Chuburin, Yurii Pavlovich

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Total publications: 38
Scientific articles: 38

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Abstract pages:8404
Full texts:2967
Doctor of physico-mathematical sciences (2000)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 15.02.1951
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. Yu. P. Chuburin, T. S. Tinyukova, “Mutual transition of Andreev and Majorana bound states in a superconducting gap”, TMF, 205:3 (2020),  484–501  mathnet  mathscinet  elib; Theoret. and Math. Phys., 205:3 (2020), 1666–1681  isi  scopus
2. T. S. Tinyukova, Yu. P. Chuburin, “The role of Majorana-like bound states in the Andreev reflection and the Josephson effect in the case of a topological insulator”, TMF, 202:1 (2020),  81–97  mathnet  mathscinet  elib; Theoret. and Math. Phys., 202:1 (2020), 72–88  isi  scopus
3. T. S. Tinyukova, Yu. P. Chuburin, “Investigation of eigenvalues and scattering problem for the Bogoliubov–de Gennes Hamiltonian near the superconducting gap edge”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:2 (2020),  259–269  mathnet
4. T. S. Tinyukova, Yu. P. Chuburin, “Andreev reflection in the $p$-wave superconductor–normal metal contact”, Izv. IMI UdGU, 54 (2019),  55–62  mathnet  elib
5. T. S. Tinyukova, Yu. P. Chuburin, “Majorana states near an impurity in the Kitayev infinite and semi-infinite model”, TMF, 200:1 (2019),  137–146  mathnet  mathscinet  elib; Theoret. and Math. Phys., 200:1 (2019), 1043–1052  isi  scopus
6. T. S. Tinyukova, Yu. P. Chuburin, “Existence of Majorana bounded states in a simple Josephson transition model”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:3 (2019),  351–362  mathnet
7. Yu. P. Chuburin, “Existence of Majorana bound states in a superconducting nanowire near an impurity”, TMF, 197:2 (2018),  279–289  mathnet  mathscinet  elib; Theoret. and Math. Phys., 197:2 (2018), 1635–1644  isi  scopus
8. Yu. P. Chuburin, “Two-particle scattering in a periodic medium”, TMF, 191:2 (2017),  304–318  mathnet  mathscinet  elib; Theoret. and Math. Phys., 191:2 (2017), 738–751  isi  scopus
9. L. E. Morozova, Yu. P. Chuburin, “Quasi-levels of the Hamiltonian for a carbon nanotube”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, 4,  76–83  mathnet
10. L. E. Morozova, Yu. P. Chuburin, ““Layerwise” scattering for a difference Schrödinger operator”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, 1,  58–65  mathnet
11. T. S. Tinyukova, Yu. P. Chuburin, “Electron scattering by a crystal layer”, TMF, 176:3 (2013),  444–457  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 176:3 (2013), 1207–1219  isi  elib  scopus
12. T. S. Tinyukova, Yu. P. Chuburin, “The discrete Schrödinger equation for a quantum waveguide”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, 4,  80–93  mathnet
13. Yu. P. Chuburin, “Electron scattering at the domain wall”, TMF, 166:2 (2011),  272–281  mathnet  mathscinet; Theoret. and Math. Phys., 166:2 (2011), 234–243  isi  scopus
14. Yu. P. Chuburin, “A discrete Schrödinger operator on a graph”, TMF, 165:1 (2010),  119–133  mathnet; Theoret. and Math. Phys., 165:1 (2010), 1335–1347  isi  scopus
15. Yu. P. Chuburin, “Quasilevels of a two-particle Schrödinger operator with a perturbed periodic potential”, TMF, 158:1 (2009),  115–125  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 158:1 (2009), 96–104  isi  scopus
16. T. S. Tinyukova, Yu. P. Chuburin, “Quasi-levels of the discrete Schrödinger equation with a decreasing potential on a graph”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, 3,  104–113  mathnet
17. L. E. Baranova, Yu. P. Chuburin, “On quasi-levels of the discret two-particle Schrödinger operator with a decreasing small potential”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, 1,  35–46  mathnet
18. Yu. P. Chuburin, “Decay law for a quasistationary state of the Schrödinger operator for a crystal film”, TMF, 151:2 (2007),  248–260  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 151:2 (2007), 648–658  isi  scopus
19. Yu. P. Chuburin, “Two-dimensional magnetic Schrodinger operator with a periodic exterior field”, Izv. IMI UdGU, 2006, 1(35),  77–82  mathnet
20. Yu. P. Chuburin, “The levels of the two-particle Schrödinger operator corresponding to a crystal film”, TMF, 147:2 (2006),  229–239  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 147:2 (2006), 637–645  isi  scopus
21. Yu. P. Chuburin, “Perturbation Theory of Resonances and Embedded Eigenvalues of the Schrodinger Operator For a Crystal Film”, TMF, 143:3 (2005),  417–430  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 143:3 (2005), 836–847  isi
22. L. E. Morozova, Yu. P. Chuburin, “On levels of the one-dimensional discrete Schrödinger operator with a decreasing small potential”, Izv. IMI UdGU, 2004, 1(29),  85–94  mathnet
23. M. S. Smetanina, Yu. P. Chuburin, “Schrödinger Operator Levels for a Crystal Film with a Nonlocal Potential”, TMF, 140:2 (2004),  297–302  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 140:2 (2004), 1146–1150  isi
24. Yu. P. Chuburin, “The Spectrum and Eigenfunctions of the Two-Dimensional Schrödinger Operator with a Magnetic Field”, TMF, 134:2 (2003),  243–253  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 134:2 (2003), 212–221  isi
25. Yu. P. Chuburin, “Schrödinger operator eigenvalue (resonance) on a zone boundary”, TMF, 126:2 (2001),  196–205  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 126:2 (2001), 161–168  isi
26. Yu. P. Chuburin, “Schrödinger operator with a perturbed small steplike potential”, TMF, 120:2 (1999),  277–290  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 120:2 (1999), 1045–1057  isi
27. Yu. P. Chuburin, “Resonance multiplicity of a perturbed periodic Schrödinger operator”, TMF, 116:1 (1998),  134–145  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 116:1 (1998), 846–855  isi
28. Yu. P. Chuburin, “On approximation of the “Membrane” Schrödinger operator by the “Crystal” operator”, Mat. Zametki, 62:5 (1997),  773–781  mathnet  mathscinet  zmath; Math. Notes, 62:5 (1997), 648–654  isi
29. Yu. P. Chuburin, “On small perturbations of the Schrödinger equation with periodic potential”, TMF, 110:3 (1997),  443–453  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 110:3 (1997), 351–359  isi
30. Yu. P. Chuburin, “On Schrodinger equation for the plane film with the limit periodic lattice”, TMF, 106:1 (1996),  133–144  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 106:1 (1996), 108–117  isi
31. Yu. P. Chuburin, “Multidimensional discrete Schrödinger equation with limit periodic potential”, TMF, 102:1 (1995),  74–82  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 102:1 (1995), 53–59  isi
32. Yu. P. Chuburin, “Solutions of the Schrödinger equation in the case of a semiinfinite crystal”, TMF, 98:1 (1994),  38–47  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 98:1 (1994), 27–33  isi
33. Yu. P. Chuburin, “On the Schrödinger operator with a small potential in the case of a crystal film”, Mat. Zametki, 52:2 (1992),  138–143  mathnet  mathscinet  zmath; Math. Notes, 52:2 (1992), 852–856  isi
34. Yu. P. Chuburin, “Floquet asymptotics of solutions of the Schrödinger equation in the case of a semi-infinite crystal”, TMF, 77:3 (1988),  472–478  mathnet  mathscinet; Theoret. and Math. Phys., 77:3 (1988), 1331–1336  isi
35. Yu. P. Chuburin, “Scattering for the Schrödinger operator in the case of a crystal film”, TMF, 72:1 (1987),  120–131  mathnet  mathscinet; Theoret. and Math. Phys., 72:1 (1987), 764–772  isi
36. Yu. P. Chuburin, “Vector-valued distributions and functions of operators”, Dokl. Akad. Nauk SSSR, 231:6 (1976),  1304–1307  mathnet  mathscinet  zmath
37. Yu. P. Chuburin, “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”, Dokl. Akad. Nauk SSSR, 231:3 (1976),  551–554  mathnet  mathscinet  zmath
38. Yu. P. Chuburin, “On upper and lower values of a generalized function at a point”, Mat. Zametki, 14:3 (1973),  339–348  mathnet  mathscinet  zmath; Math. Notes, 14:3 (1973), 755–760

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