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Chuburin, Yurii Pavlovich
Statistics Math-Net.Ru
Total publications: 43
Scientific articles: 43

Number of views:
This page:1510
Abstract pages:15059
Full texts:5843
References:2415
Professor
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.

Subject:

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.

Biography

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.

https://www.mathnet.ru/eng/person17573
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/208380

Publications in Math-Net.Ru Citations
2024
1. Yu. P. Chuburin, T. S. Tinyukova, “Spectral properties and non-Hermitian skin effect in the Hatano–Nelson model”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:2 (2024),  286–298  mathnet  isi
2023
2. T. S. Tinyukova, Yu. P. Chuburin, “Eigenvalues and eigenfunctions of the perturbed non-Hermitian SSH Hamiltonian with PT symmetry”, Izv. IMI UdGU, 62 (2023),  87–95  mathnet
2022
3. Yu. P. Chuburin, T. S. Tinyukova, “Andreev states in a quasi-one-dimensional superconductor on the surface of a topological insulator”, TMF, 212:3 (2022),  414–428  mathnet  mathscinet; Theoret. and Math. Phys., 212:3 (2022), 1246–1258  scopus
4. Yu. P. Chuburin, T. S. Tinyukova, “Interaction between subbands in a quasi-one-dimensional superconductor”, TMF, 210:3 (2022),  455–469  mathnet  mathscinet; Theoret. and Math. Phys., 210:3 (2022), 398–410  isi  scopus 1
2021
5. Yu. P. Chuburin, T. S. Tinyukova, “Behaviour of Andreev states for topological phase transition”, TMF, 208:1 (2021),  145–162  mathnet  elib; Theoret. and Math. Phys., 208:1 (2021), 977–992  isi  scopus 3
2020
6. 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
7. 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 2
8. 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
2019
9. 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 2
10. 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 5
11. 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
2018
12. 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 5
2017
13. 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 1
2014
14. L. E. Morozova, Yu. P. Chuburin, “Quasi-levels of the Hamiltonian for a carbon nanotube”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4,  76–83  mathnet 1
15. L. E. Morozova, Yu. P. Chuburin, ““Layerwise” scattering for a difference Schrödinger operator”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 1,  58–65  mathnet
2013
16. 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 2
2012
17. T. S. Tinyukova, Yu. P. Chuburin, “The discrete Schrödinger equation for a quantum waveguide”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 4,  80–93  mathnet 1
2011
18. 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
2010
19. 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 8
2009
20. 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 2
21. 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, no. 3,  104–113  mathnet 5
2008
22. 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, no. 1,  35–46  mathnet 1
2007
23. 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 1
2006
24. Yu. P. Chuburin, “Two-dimensional magnetic Schrodinger operator with a periodic exterior field”, Izv. IMI UdGU, 2006, no. 1(35),  77–82  mathnet
25. 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
2005
26. 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 3
2004
27. L. E. Morozova, Yu. P. Chuburin, “On levels of the one-dimensional discrete Schrödinger operator with a decreasing small potential”, Izv. IMI UdGU, 2004, no. 1(29),  85–94  mathnet 6
28. 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
2003
29. 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 2
2001
30. 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 6
1999
31. 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 6
1998
32. 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 2
1997
33. 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
34. 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 20
1996
35. 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
1995
36. 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 6
1994
37. 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 8
1992
38. 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 6
1988
39. 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 3
1987
40. 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 14
1976
41. Yu. P. Chuburin, “Vector-valued distributions and functions of operators”, Dokl. Akad. Nauk SSSR, 231:6 (1976),  1304–1307  mathnet  mathscinet  zmath
42. 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
1973
43. 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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