Nonadiabatic tunneling in an ideal one‐dimensional finite periodic potential system is studied. Resonant transmission, complete reflection which does not exist in the case of ordinary adiabatic tunneling, and acceleration of transmission are analyzed. Some peculiar features resulting from the complete reflection are found and discussed. A system with an impurity is also investigated with an emphasis on the role of complete reflection. The analyses are illustrated by numerical examples.
REFERENCES
1.
For instance (a) R. P. Bell, The Tunnel Effect in Chemistry (Chapman and Hall, London, 1980);
(b) Tunneling, The Jerusalem Symposia on Quantum Chemistry and Biology, edited by J. Jortner and B. Pullman (Reidel, Dordrecht, 1986), Vol. 19.
2.
(a) M. S. Child, in Nonadiabatic Transitions, Atom-Molecule Collision Theory, edited by R. B. Bernstein (Plenum, New York, 1979), Chap. 13;
(b) K. S. Lam and T. F. George, in Semiclassical Methods in Molecular Scattering and Spectroscopy, edited by M. S. Child (Reidel, Dordrecht, 1979), p. 179;
(c) E. E. Nikitin, Theory of Slow Atomic Collisions (Springer, Berlin, 1984);
Electronic and Atomic Collisions, Invited Papers of The XVth International Conference on Physics of Electronic and Atomic Collisions (North-Holland, Amsterdam, 1988), p. 413.
3.
4.
D. Kleppner, M. G. Littman, and M. L. Zimmerman, in Rydberg States of Atoms and Molecules, edited by R. F. Stebbings and F. B. Dunning (Cambridge University, Cambridge, 1983).
5.
6.
D. Devault, Quantum Mechanical Tunnelingin Biological Systems (Cambridge University, Cambridge, 1984).
7.
A. S. Davydov, Biology and Quantum Mechanics, translated by D. Oliver (Pergamon, New York, 1982).
8.
(c)
J. R.
Laing
, J-M.
Yuan
, H.
Zimmerman
, P. L.
DeVries
, and T. F.
George
, J. Chem. Phys.
66
, 2801
(1977
);(d)
P. V.
Coveney
, M. S.
Child
, and A.
Bárány
, J. Phys. B
18
, 4557
(1985
);9.
10.
11.
12.
13.
14.
D.
Sokolovsky
and J. N. L.
Conner
, Phys. Rev. A
42
, 6512
(1990
).15.
16.
M. S. Child, Semiclassical Methods in Molecular Scattering and Spectroscopy (NATO Advanced Study Institute) (Pergamon, New York, 1980).
17.
D. Bohm, Quantum Theory (Prentice-Hall, Englewood Cliffs, N.J., 1951), p. 290.
18.
For instance, J. M. T. Thompson and H. B. Stewart, Nonlinear Dynamics and Chaos—Geometrical Methods for Engineers and Scientists (Wiley, New York, 1986).
19.
F. L. Carter, Molecular Electronic Devices (Marcel-Dekker, New York, 1982), pp. 51 and 121.
20.
Metal Ions and Biological Systems, edited by H. Sigel and A. Sigel (Marcel Dekker, New York, 1991), Vol. 27;
(c) Electron Transfer in Inorganic, Organic and Biological Systems, edited by J. R. Bolton, N. Mataga, and G. Mclendon,
ACS Adv. Chem. Ser.
228
, (1991
);
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© 1992 American Institute of Physics.
1992
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