Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
Annales de l'I.H.P. Physique théorique, Volume 65 (1996) no. 1, p. 109-123
@article{AIHPA_1996__65_1_109_0,
     author = {Exner, P. and Vugalter, S. A.},
     title = {Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {65},
     number = {1},
     year = {1996},
     pages = {109-123},
     zbl = {0858.35093},
     mrnumber = {1407168},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1996__65_1_109_0}
}
Exner, P.; Vugalter, S. A. Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window. Annales de l'I.H.P. Physique théorique, Volume 65 (1996) no. 1, pp. 109-123. http://www.numdam.org/item/AIHPA_1996__65_1_109_0/

[BGRS] W. Bulla, F. Gesztesy, W. Renger and B. Simon, Weakly coupled bound states in quantum waveguides, Proc. Am. Math. Soc., to appear. | MR 1371117 | Zbl 0868.35080

[DE] P. Duclos and P. Exner, Curvature-induced bound states in quantum waveguides in two and three dimensions, Rev. Math. Phys., Vol. 7, 1995, pp. 73-102. | MR 1310767 | Zbl 0837.35037

[ES] P. Exner and P. Šeba, Bound states in curved quantum waveguides, J. Math. Phys., Vol. 30, 1989, pp. 2574-2580. | MR 1019002 | Zbl 0693.46066

[ESTV] P. Exner, P. Šeba, M. Tater and D. Vaněk, Bound states and scattering in quantum waveguides coupled laterally through a boundary window, J. Math. Phys., Vol. 37, 1996, to appear. | MR 1411612 | Zbl 0883.35085

[HTW] Y. Hirayama, Y. Tokura, A.D. Wieck, S. Koch, R.J. Haug, K. Von Klitzing and K. Ploog, Transport characteristics of a window-coupled in-plane-gated wire system, Phys. Rev., Vol. B48, 1993, pp. 7991-7998.

[Ku] Ch. Kunze, Leaky and mutually coupled quantum wires, Phys. Rev., Vol. B48, 1993, pp. 14338-14346.

[LS] I.A. Larkin and E.V. Sukhorukov, Method to investigate the random potential in a quantum point contact, Phys. Rev., Vol. B49, 1994, pp. 5498-5507.

[RS4] M. Reed and B. Simon, Methods of Modem Mathematical Physics, IV. Analysis of Operators, New York: Academic Press, 1978. | Zbl 0401.47001

[SRW] R.L. Schult, D.G. Ravenhall and H.W. Wyld, Quantum bound state in classically unbound system of crossed wires, Phys. Rev., Vol. B39, 1989, pp. 5476-5479.

[WG] Jian Wang and , Hong GuoTime-dependent transport in two-dimensional quantum-wire structures, Phys. Rev., Vol. B48, 1993, pp. 12072-12075.