Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window

P. Exner; S. A. Vugalter

Annales de l'I.H.P. Physique théorique (1996)

  • Volume: 65, Issue: 1, page 109-123
  • ISSN: 0246-0211

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Exner, P., and 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 65.1 (1996): 109-123. <http://eudml.org/doc/76733>.

@article{Exner1996,
author = {Exner, P., Vugalter, S. A.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {mixed boundary condition; Dirichlet strips},
language = {eng},
number = {1},
pages = {109-123},
publisher = {Gauthier-Villars},
title = {Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window},
url = {http://eudml.org/doc/76733},
volume = {65},
year = {1996},
}

TY - JOUR
AU - Exner, P.
AU - Vugalter, S. A.
TI - Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
JO - Annales de l'I.H.P. Physique théorique
PY - 1996
PB - Gauthier-Villars
VL - 65
IS - 1
SP - 109
EP - 123
LA - eng
KW - mixed boundary condition; Dirichlet strips
UR - http://eudml.org/doc/76733
ER -

References

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  1. [BGRS] W. Bulla, F. Gesztesy, W. Renger and B. Simon, Weakly coupled bound states in quantum waveguides, Proc. Am. Math. Soc., to appear. Zbl0868.35080MR1371117
  2. [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. Zbl0837.35037MR1310767
  3. [ES] P. Exner and P. Šeba, Bound states in curved quantum waveguides, J. Math. Phys., Vol. 30, 1989, pp. 2574-2580. Zbl0693.46066MR1019002
  4. [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. Zbl0883.35085MR1411612
  5. [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. 
  6. [Ku] Ch. Kunze, Leaky and mutually coupled quantum wires, Phys. Rev., Vol. B48, 1993, pp. 14338-14346. 
  7. [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. 
  8. [RS4] M. Reed and B. Simon, Methods of Modem Mathematical Physics, IV. Analysis of Operators, New York: Academic Press, 1978. Zbl0401.47001
  9. [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. 
  10. [WG] Jian Wang and , Hong GuoTime-dependent transport in two-dimensional quantum–wire structures, Phys. Rev., Vol. B48, 1993, pp. 12072-12075. 

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