Multiple bound states in scissor-shaped waveguides

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 15, 2002, Pages 1551091-1551097

  Bulgakov, Evgeny N ^a   Exner, Pavel ^b,c   Pichugin, Konstantin N ^a   Sadreev, Almas F ^a,d  

^a KIRENSKY INSTITUTE OF PHYSICS   (Russian Federation)

^b NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

^c CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

^d LINKÖPING UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ARTICLE; ENERGY TRANSFER; GEOMETRY; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MICROWAVE RADIATION;

EID: 4243896536     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.155109     Document Type: Article

References (32)

1. F. Ursell, Proc. R. Soc. London, Ser. A 47, 79 (1952).
2. M.L. Roukes, A. Scherer, S.J. Allen, Jr., H.G. Craighead, R.M. Ruthen, E.D. Beebe, and J.P. Harbison, Phys. Rev. Lett. 59, 3011 (1987).
3. G. Timp, H.U. Baranger, P. de Vegvar, J.E. Cunningham, R.E. Howard, R. Behringer, and P.M. Mankiewich, Phys. Rev. Lett. 60, 2081 (1988).
4. P. Exner and P. Šeba, J. Math. Phys. 30, 2574 (1989).
5. P. Exner, P. Šeba, and P. Šťovíček, Czech. J. Phys., Sect. B B39, 1181 (1989).
6. P. Exner, Phys. Lett. A 141, 213 (1989).
7. R.L. Schult, D.G. Ravenhall, and H.W. Wyld, Phys. Rev. B 39, 5476 (1989).
8. F.M. Peeters, Superlattices Microstruct. 6, 217 (1989).
9. P. Exner and P. Seba, Phys. Lett. A 144, 347 (1990).
10. Y. Avishai, D. Bessis, B.G. Giraud, and G. Mantica, Phys. Rev. B 44, 8028 (1992).
11. J. Goldstone and R.L. Jaffe, Phys. Rev. B 45, 14 100 (1992).
12. J.P. Carini, J.T. Londergan, K. Mullen, and D.P. Murdock, Phys. Rev. B 46, 15 538 (1992).
13. J.P. Carini, J.T. Londergan, K. Mullen, and D.P. Murdock, Phys. Rev. B 48, 4503 (1993).
14. J.P. Carini, J.T. Londergan, D.P. Murdock, D. Trinkle, and C.S. Yung, Phys. Rev. B 55, 9842 (1997).
15. E.N. Bulgakov and A.F. Sadreev, JETP Lett. 66, 431 (1997).
16. E.N. Bulgakov and A.F. Sadreev, Tech. Phys. 46, 1281 (2001).
17. J.T. Londergan, J.P. Carini, and D.P. Murdock, Binding and Scattering in Two-Dimensional Systems: Applications to Quantum Wires, Waveguides and Photonic Crystals (Springer, Berlin, 1999).
18. M. Reed and B. Simon, Methods of Modern Mathematical Physics, IV. Analysis of Operators (Academic Press, New York 1978), Sec. XIII.15.
19. T. Kato, Perturbation Theory for Linear Operators, 2nd Ed. (Springer, Berlin 1976), Sec. VIII.6.
20. F. Bentosela, P. Exner, and V.A. Zagrebnov, Phys. Rev. B 57, 1382 (1998).
21. R.J. Riddel, Jr., J. Comput. Phys. 31, 21 (1979); 31, 42 (1979).
22. R.J. Riddel, Jr., J. Comput. Phys. 31, 21 (1979); 31, 42 (1979).
23. J. Aguilar and J.-M. Combes, Commun. Math. Phys. 22, 269 (1971).
24. N. Moiseyev, Phys. Rep. 302, 212 (1998).
25. P. Duclos, P. Exner, and P. Šťovíček, Ann. Inst. Henri Poincaré: Phys. Theor. 62, 81 (1995).
26. P. Šeba, I. Rotter, M. Muller, E. Persson, and K. Pichugin, Phys. Rev. E 61, 66 (2000).
27. E.N. Bulgakov and A.E Sadreev, JETP 87, 1058 (1998).
28. G. Burmeister and K. Maschke, Phys. Rev. B 59, 4612 (1999).
29. P. Exner and D. Krejčiřik, J. Phys. A 32, 4475 (1999).
30. L.D. Landau and E.M. Lifshitz, Quantum Mechanics (Pergamon Press, New York, 1965).
31. E.N. Bulgakov and A.F. Sadreev, Europhys. Lett. 57, 198 (2002).
32. B. Lax and K.J. Button, Microwave Ferrites and Ferrimagnetics (McGraw-Hill, New York, 1962).