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Chuburin, Yurii Pavlovich

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Total publications: 36
Scientific articles: 36

Number of views:
This page:868
Abstract pages:7689
Full texts:2729
References:1197
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.

http://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
2020
1. 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  elib; Theoret. and Math. Phys., 202:1 (2020), 72–88  isi  scopus
2019
2. T. S. Tinyukova, Yu. P. Chuburin, “Andreev reflection in the $p$-wave superconductor–normal metal contact”, Izv. IMI UdGU, 54 (2019),  55–62  mathnet
3. 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  elib; Theoret. and Math. Phys., 200:1 (2019), 1043–1052  isi  scopus
4. 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
5. Yu. P. Chuburin, “Existence of Majorana bound states in a superconducting nanowire near an impurity”, TMF, 197:2 (2018),  279–289  mathnet  elib; Theoret. and Math. Phys., 197:2 (2018), 1635–1644  isi  scopus
2017
6. 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
2014
7. 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
8. 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
2013
9. 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
2012
10. 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
2011
11. 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
12. 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
2009
13. 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
14. 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
2008
15. 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
2007
16. 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
2006
17. Yu. P. Chuburin, “Two-dimensional magnetic Schrodinger operator with a periodic exterior field”, Izv. IMI UdGU, 2006, 1(35),  77–82  mathnet
18. 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
19. 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
2004
20. 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
21. 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
22. 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
2001
23. 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
1999
24. 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
1998
25. 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
1997
26. 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
27. 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
1996
28. 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
29. 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
1994
30. 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
1992
31. 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
1988
32. 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
1987
33. 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
1976
34. Yu. P. Chuburin, “Vector-valued distributions and functions of operators”, Dokl. Akad. Nauk SSSR, 231:6 (1976),  1304–1307  mathnet  mathscinet  zmath
35. 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
36. 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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