Editor-in-Chief: Seidel, Sally
Managing Editor: Lesna-Szreter, Paulina
1 Issue per year
IMPACT FACTOR 2016 (Open Physics): 0.745
IMPACT FACTOR 2016 (Central European Journal of Physics): 0.765
CiteScore 2017: 0.83
SCImago Journal Rank (SJR) 2017: 0.241
Source Normalized Impact per Paper (SNIP) 2017: 0.537
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
Keywords: Bound State; linear potential; Dirac delta functions
Keywords: 03.65.Ge
[1] W. Greiner and B. Müller:Quantum Mechanics: Symmetries, 2nd revised Ed., Springer-Verlag, Berlin, 1994. Google Scholar
[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)00514-2CrossrefGoogle Scholar
[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:1007658622109CrossrefGoogle Scholar
[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/s00023-003-0935-9CrossrefGoogle Scholar
[5] S. Flügge:Practical Quantum Mechanics, Springer, New York, 1974. Google Scholar
[6] S. Alveberio, F. Gesztsy, P. Høegh-Krohn and H. Holden:Solvable Models in Quantum Mechanics, Springer, New York, 1988. Google Scholar
[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/10.1088/0305-4470/36/26/315CrossrefGoogle Scholar
[8] C. Cohen-Tannoudji, B. Diu and F. Laloë:Quantum Mechanics I, Hermann, Paris, 1977. Google Scholar
[9] C. Kittel:Introduction to Solid State Physics, 7th Ed., John Wiley, New York, 1996. Google Scholar
[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/10.1088/0305-4470/36/24/318CrossrefGoogle Scholar
[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. Google Scholar
[12] W. Ellberfeld and M. Kleber:Zeitschrift für Physik B, Vol. 73, (1988), pp. 23–32. http://dx.doi.org/10.1007/BF01312151CrossrefGoogle Scholar
[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/10.1088/0305-4470/37/41/009CrossrefGoogle Scholar
[14] C. Weisbuch and B. Vinter:Quantum Semiconductor Structures: fundamentals and Applications, Academic Press, San Diego, 1991. Google Scholar
[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.70.205336CrossrefGoogle Scholar
Published Online: 2005-06-01
Published in Print: 2005-06-01
Citation Information: Open Physics, Volume 3, Issue 2, Pages 303–323, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/BF02475594.
© 2005 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0
Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.
Comments (0)