The Kronig–Penney model of an electron moving in a periodic potential is solved by the so-called tail-cancellation method. The problem also serves as a simple illustration of the tail-cancellation method itself.
Topics
Kronig-Penney model
REFERENCES
1.
C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1996), 7th ed., p. 180.
2.
S.
Singh
, “Kronig–Penney Model in Reciprocal Lattice Space
,” Am. J. Phys.
51
, 179
(1983
).3.
W. J.
Titus
, “Solutions of the Kronig–Penney Models by the T-Matrix Method
,” Am. J. Phys.
41
, 512
–516
(1973
).4.
See, for example, H. L. Skriver, The LMTO Method (Springer, New York, 1983).
5.
N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, Philadelphia, 1976), p. 148.
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© 2001 American Association of Physics Teachers.
2001
American Association of Physics Teachers
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