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2005 | 3 | 2 | 303-323
Tytuł artykułu

Solutions of the Schrödinger equation for Dirac delta decorated linear potential

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We have studied bound states of the Schrödinger equation for a linear potential together with any finite number (P) of Dirac delta functions. Forx [...] where 0f; 0x 1x 2x P , theσ i are arbitrary real numbers, and the potential is infinite forx
Wydawca

Czasopismo
Rocznik
Tom
3
Numer
2
Strony
303-323
Opis fizyczny
Daty
wydano
2005-06-01
online
2005-06-01
Twórcy
autor
  • Physics Department, Bogazici University, Bebek, 34342, Istanbul, Turkey, uncu@boun.edu.tr
autor
autor
  • Physics Department, Bogazici University, Bebek, 34342, Istanbul, Turkey, bekerh@boun.edu.tr
Bibliografia
  • [1] W. Greiner and B. Müller:Quantum Mechanics: Symmetries, 2nd revised Ed., Springer-Verlag, Berlin, 1994.
  • [2] B. Govoreanu, P. Blomme, M. Rosmeulen, V.J. Houdt and K. De Meyer: “A model for tunneling current in multi-layer tunnel dielectrics”, Solid State Electronic, Vol. 47, (2003), pp. 1045–1053. http://dx.doi.org/10.1016/S0038-1101(02)00514-2[Crossref]
  • [3] P. Fendley: “Airy Functions in Thermodynamics Bethe Ansatz”Lett. Math. Phys. Vol. 49, (1999), pp. 229–233. http://dx.doi.org/10.1023/A:1007658622109[Crossref]
  • [4] J.Z. Imbrie: “Dimensional reduction and crossover to mean-field behavior for branched polymers”, Ann. Henri Poincare, Vol. 4, (2003), pp. 445–458. http://dx.doi.org/10.1007/s00023-003-0935-9[Crossref]
  • [5] S. Flügge:Practical Quantum Mechanics, Springer, New York, 1974.
  • [6] S. Alveberio, F. Gesztsy, P. Høegh-Krohn and H. Holden:Solvable Models in Quantum Mechanics, Springer, New York, 1988.
  • [7] E. Demiralp and H. Beker: “Properties of bound states of the Schrödinger equation with attractive Dirac delta potentials”, J. Phys. A: Math. Gen., Vol. 36, (2003), pp. 7449–7459. http://dx.doi.org/10.1088/0305-4470/36/26/315[Crossref]
  • [8] C. Cohen-Tannoudji, B. Diu and F. Laloë:Quantum Mechanics I, Hermann, Paris, 1977.
  • [9] C. Kittel:Introduction to Solid State Physics, 7th Ed., John Wiley, New York, 1996.
  • [10] T. Uchino and I. Tsutsui: “Supersymmetric quantum mechanics under point singularities”, J. Phys. A: Math. Gen., Vol. 36, (2003), pp. 6821–6846. http://dx.doi.org/10.1088/0305-4470/36/24/318[Crossref]
  • [11] J.R. Barker: “The physics and fabrication of microstructures and microdevices”, In: M.S. Kelly and C. Weisbuch (Eds.):Proceedings in Physics, 13 Springer: New York, 1986, pp. 210–220.
  • [12] W. Ellberfeld and M. Kleber:Zeitschrift für Physik B, Vol. 73, (1988), pp. 23–32. http://dx.doi.org/10.1007/BF01312151[Crossref]
  • [13] G. Álvarez and B. Sundaram: “Perturbation theory for the Stark effect in a double δ quantum well”, J. Phys. A: Math. Gen., Vol. 37, (2004), pp. 9735–9748. http://dx.doi.org/10.1088/0305-4470/37/41/009[Crossref]
  • [14] C. Weisbuch and B. Vinter:Quantum Semiconductor Structures: fundamentals and Applications, Academic Press, San Diego, 1991.
  • [15] S.B. Monozon, V.M. Ivanov and P. Schmelcher: “Impurity center in a semiconductor quantum ring in the presence of a radial electric field”, Physical Review B, Vol. 70, (2004), pp. 205336–205347. http://dx.doi.org/10.1103/PhysRevB.70.205336[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_BF02475594
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