Bound states in weakly deformed strips and layers

Annales Henri Poincare

Volumn 2, Issue 3, 2001, Pages 553-572

  Borisov, D ^a   Exner, P ^b   Gadyl'shin, R ^a   Krejcirik D ^b  

^a BASHKIR STATE PEDAGOGICAL UNIVERSITY   (Russian Federation)

^b NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035535045     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001045     Document Type: Article

References (16)

1. M.S. Abramowitz, I.A. Stegun, eds., Handbook of Mathematical Functions, Dover, New York (1965).
2. S. Albeverio, P. Gesztesy, R. Høegh-Krohn, H. Holden, Solvable Models in Quantum Mechanics, Springer, Heidelberg (1988).
3. W. Bulla, F. Gesztesy, W. Renger, B. Simon, Weakly Coupled Bound States in Quantum Waveguides, Proc. Amer. Math. Soc. 127, 1487-1495 (1997).
4. P. Duclos, P. Exner, Curvature-Induced Bound States in Quantum Wave-Guides in Two and Three Dimensions, Rev. Math. Phys. 7, 73-102 (1995).
5. P. Duclos, P. Exner, D. Krejčiřík, Locally Curved Quantum Layers, Ukrainian J. Phys. 45, 595-601 (2000).
6. P. Exner, D. Krejčiřík, Waveguides Coupled Through a Semitransparent Barrier: a Birman-Schwinger Analysis, Rev. Math. Phys. 13, 307-334 (2001).
7. P. Exner, S.A. Vugalter, Asymptotic Estimates for Bound States in Quantum Waveguides Coupled Laterally Through a Narrow Window, Ann. Inst. H. Poincaré: Phys. théor. 65, 109-123 (1996).
8. P. Exner, S.A. Vugalter, Bound-State Asymptotic Estimates for Window-Coupled Dirichlet Strips and Layers, J. Phys. A30, 7863-7878 (1997).
9. P. Exner, S.A. Vugalter, Bound States in a Locally Deformed Waveguide: the Critical Case, Lett. Math. Phys. 39, 59-68 (1997).
10. R.R. Gadyl'shin, Surface Potentials and the Method of Matching Asymptotic Expansions in the Problem of the Helmholtz Resonator, Algebra i Analiz 4, 88-115 (1992); English transl. in St. Peterburgs Math. J. 4, 273-296 (1993).
11. R.R. Gadyl'shin, Surface Potentials and the Method of Matching Asymptotic Expansions in the Problem of the Helmholtz Resonator, Algebra i Analiz 4, 88-115 (1992); English transl. in St. Peterburgs Math. J. 4, 273-296 (1993).
12. A.M. Il'in, Matching of Asymptotic Expansions of Solutions of Boundary Value Problems, Nauka, Moscow (1989); English transl., Amer. Mat. Soc., Providence, RI, (1992).
13. A.M. Il'in, Matching of Asymptotic Expansions of Solutions of Boundary Value Problems, Nauka, Moscow (1989); English transl., Amer. Mat. Soc., Providence, RI, (1992).
14. I.J. Maddox, Elements of Functional Analysis, Cambridge Univ. Press (1970).
15. I.Yu. Popov, Asymptotics for Bound State for Laterally Coupled Waveguides, Rep. Math. Phys. 4, 88-115 (1992).
16. M. Reed, B. Simon, Methods of Modern Mathematical Physics, IV. Analysis of Operators, Academic Press, New York (1978).