Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 221-227 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The system of three two-dimensional laterally coupled quantum waveguides with the Dirichlet boundary condition is considered. Violation of geometrical symmetry is studied. The behaviour of the resonance asymptotics and the transition “eigenvalue – resonance” are investigated.
@article{ZNSL_2003_300_a21,
     author = {I. Yu. Popov and S. V. Frolov},
     title = {Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {221--227},
     year = {2003},
     volume = {300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a21/}
}
TY  - JOUR
AU  - I. Yu. Popov
AU  - S. V. Frolov
TI  - Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2003
SP  - 221
EP  - 227
VL  - 300
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a21/
LA  - en
ID  - ZNSL_2003_300_a21
ER  - 
%0 Journal Article
%A I. Yu. Popov
%A S. V. Frolov
%T Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics
%J Zapiski Nauchnykh Seminarov POMI
%D 2003
%P 221-227
%V 300
%U http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a21/
%G en
%F ZNSL_2003_300_a21
I. Yu. Popov; S. V. Frolov. Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 221-227. http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a21/

[1] C. W. J. Beenakker, van H. Houten, Solid State Physics, Advances in Research and Applications, 44, Academic Press, New York, 1991

[2] W. Bulla, F. Gesztesy, W. Renger, B. Simon, “Weakly coupled bound states in quantum waveguides”, Proc. Am. Math. Soc., 125:5 (1997), 1487–1495 | DOI | MR | Zbl

[3] Y. Takagaki, K. Ploog, Phys. Rev. B, 49:3 (1782)

[4] P. Duclos, P. Exner, Rev. Math. Phys., 7 (1995), 73 | DOI | MR | Zbl

[5] I. Yu. Popov, S. L. Popova, Europhys. Lett, 24:5 (1993), 373 | DOI

[6] P. Exner, S. Vugalter, Ann. Inst. Henri Poincare, 65:1 (1996), 109 | MR | Zbl

[7] Ch. Kunze, Phys. Rev. B, 48 (1993), 14338 | DOI

[8] P. Exner, S. Vugalter, J. Phys. A: Math. Gen., 30 (1997), 7863 | DOI | MR | Zbl

[9] I. Yu. Popov, Pisma v Zh.Tech.Fiz. (Tech. Phys. Lett.), 25:3 (1999), 57

[10] I. Yu. Popov, Rep. Math. Phys., 43:3 (1999), 427 | DOI | MR | Zbl

[11] I. Yu. Popov, J. Math. Phys., 43:1 (2002), 215 | DOI | MR | Zbl

[12] A. M. Il'in, Matching of Asymptotic Expansions of Solutions of Boundary Value Problems, Nauka, Moscow, 1989 | MR

[13] R. R. Gadil'shin, Algebra i Analiz (Leningrad Math. J.), 4:2 (1992), 88

[14] S. V. Frolov, I. Yu. Popov, J. Math. Phys., 41:7 (2000), 4391 | DOI | MR | Zbl

[15] D. V. Evans, M. Levitin, D. Vassiliev, J. Fluid Mech., 261:21 (1994) | MR | Zbl

[16] I. Yu. Popov, Reports on Math. Phys., 40:3 (1997), 521 | DOI | MR | Zbl