Suppression of feshbach resonance widths in two-dimensional waveguides and quantum dots: A lower bound for the number of bound states in the continuum

Physical Review Letters

Volumn 102, Issue 16, 2009, Pages

  Moiseyev, Nimrod ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOUND STATE; FESHBACH RESONANCES; LOWER BOUNDS; POTENTIAL PARAMETERS; QUANTUM DOT; QUANTUM MECHANICS;

CONTROL THEORY; INTEGRATED OPTOELECTRONICS; QUANTUM THEORY; SEMICONDUCTOR QUANTUM DOTS; WAVEGUIDES;

TWO DIMENSIONAL;

EID: 67650286797     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.102.167404     Document Type: Article

References (30)

1. J. von Neumann and E. Wigner, Z. Phys. ZEPYAA 0044-3328 30, 465 (1929).
2. R. Gómez-Medina and J.J. Sáenz, Phys. Rev. Lett. 93, 243602 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.243602
3. A. Christ, Y. Ekinci, H.H. Solak, N.A. Gippius, S.G. Tikhodeev, and O.J.F. Martin, Phys. Rev. B PRBMDO 1098-0121 76, 201405(R) (2007). 10.1103/PhysRevB.76.201405
4. A.W. Snyder and J.D. Love, Optical Waveguide Theory (Springer, New York, 1983).
5. B. Simon, Commun. Pure Appl. Math. 22, 531 (1969); CPMAMV 0010-3640 10.1002/cpa.3160220405
6. see also M. Reed and B. Simon, Methods of Modern Mathematical Physics. III: Scattering Theory (Academic Press, New York, 1979).
7. J. Weidmann, Math. Z. MAZEAX 0025-5874 98, 268 (1967). 10.1007/BF01112407
8. F.H. Stillinger, Physica (Amsterdam) 85B, 170 (1977). PHYBE3 0921-4526
9. D.R. Herrick, Physica (Amsterdam) 85B, 44 (1977).
10. F. Capasso, C. Sirtori, J. Faist, D.L. Sivco, S.-N.G. Chu, and A.Y. Cho, Nature (London) 358, 565 (1992). NATUAS 0028-0836 10.1038/358565a0
11. L.S. Cederbaum, R. Friedman, V. Ryaboy, and N. Moiseyev, Phys. Rev. Lett. 90, 013001 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.013001
12. D.C. Marinica, A.G. Borisov, and S.V. Shabanov, Phys. Rev. Lett. 100, 183902 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.183902
13. H. Friedrich and D. Wintgen, Phys. Rev. A 32, 3231 (1985). PLRAAN 1050-2947 10.1103/PhysRevA.32.3231
14. J. Okolowicz, M. Ploszajczak, and I. Rotter, Phys. Rep. 374, 271 (2003). PRPLCM 0370-1573 10.1016/S0370-1573(02)00366-6
15. A.Z. Devdariani, V.N. Ostrovsky, and Yu.N. Sebyakin, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 71, 909 (1976)
16. [A.Z. Devdariani V.N. Ostrovsky Yu.N. Sebyakin Sov. Phys. JETP 44, 477 (1976)]. SPHJAR 0038-5646
17. M. Robnik, J. Phys. A JPHAC5 0305-4470 19, 3845 (1986). 10.1088/0305-4470/19/18/029
18. A.F. Sadreev, E.N. Bulgakov, and I. Rotter, Phys. Rev. B PRBMDO 1098-0121 73, 235342 (2006). 10.1103/PhysRevB.73.235342
19. R.L. Schult, D.G. Ravenhall, and H.W. Wyld, Phys. Rev. B PRBMDO 0163-1829 39, 5476 (1989). 10.1103/PhysRevB.39.5476
20. A. Yacoby, M. Heiblum, D. Mahalu, and H. Shtrikman, Phys. Rev. Lett., 74, 4047 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.4047
21. R. Schuster, Nature (London) NATUAS 0028-0836 385, 417 (1997). 10.1038/385417a0
22. S. Rotter, Phys. Rev. E PLEEE8 1539-3755 69, 046208 (2004). 10.1103/PhysRevE.69.046208
23. G. Levy-Yurista, Opt. Mater. (Amsterdam) OMATET 0925-3467 17, 149 (2001). 10.1016/S0925-3467(01)00039-8
24. S.T. Epstein, J. Chem. Phys. 44, 836 (1966). JCPSA6 0021-9606 10.1063/1.1726771
25. E.A. Hylleraas and B. Undeheim, Z. Phys. 65, 759 (1930); ZEPYAA 0044-3328 10.1007/BF01397263
26. J.K.L. MacDonald, Phys. Rev. 43, 830 (1933). PHRVAO 0031-899X 10.1103/PhysRev.43.830
27. L.D. Landau and E.M. Lifshitz, Quantum Mechanics (Pergamon Press, Oxford, England, 1977).
28. Y. Berlatzky, Ph.D. thesis, Technion, 2007.
29. N. Rosen and P.N. Morse, Phys. Rev. 42, 210 (1932). PHRVAO 0031-899X 10.1103/PhysRev.42.210
30. U. Fano, Charles Coulson Summer School, Oxford (private communication).