Abstract
The problem of solving a one-dimensional Schrödinger equation is reduced to solving equations for the transfer matrix elements. We obtain equations for the transmission coefficient and two phase characteristics describing the transmitted and reflected waves. These equations allow us to investigate resonance tunneling in one-dimensional quantum structures in terms of observable quantities. As will be demonstrated later, these equations have a number of advantages over the corresponding equations derived by a method involving phase functions.
Similar content being viewed by others
References
L. Esaki, J. Quantum Electron.,QE-22, 1611 (1986).
E. Burshtein and S. Lundquist (eds.), Tunneling Phenomena in Solids [Russian translation], Mir, Moscow (1973).
M. Ya. Azbel, Phys. Rev. B,28, 4106 (1983).
J. Peng, H. Chen, and S. Zhou, J. Phys. Condens. Matter,1, 5451 (1989).
N. L. Chuprikov, Izv. Vyssh. Uchebn. Zaved., Fiz., Tomsk (1991); Dep. VINITI 01.30.91, No. 492-V91.
N. L. Chuprikov, Fiz. Tekh. Poluprovodn.,26, 2040 (1992).
V. V. Babikov, Phase Function Methods in Quantum Mechanics [in Russian], Nauka, Moscow (1988).
Additional information
V. D. Kuznetsov Siberian Physicotechnical Institute, Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 48–51, June, 1993.
Rights and permissions
About this article
Cite this article
Chuprikov, N.L. Equations for the transfer matrix elements of the one-dimensional Schrödinger equation. Russ Phys J 36, 548–551 (1993). https://doi.org/10.1007/BF00559450
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00559450