Scattering states of the sech-squared potential

Solid State Communications

Volumn 104, Issue 11, 1997, Pages 679-682

  Tong, B Y ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICAL SYSTEMS; SCATTERING; WAVE TRANSMISSION;

SECH SQUARED POTENTIAL;

HETEROJUNCTIONS;

EID: 0031355825     PISSN: 00381098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0038-1098(97)10009-6     Document Type: Article

References (17)

1. This potential has been known in literature by many different names such as the Pöschl-Teller potential, the Eckart potential and others. To avoid confusion, we shall name it by the function itself. Because of its long history, there are many references. The most thorough discussion in books are found in S. Flügge, Practical Quantum Mechanics. Springer-Verlag, Berlin, 1971. Other textbook references are P.M. Morse and H. Feshbach, Methods of Theoretical Physics, p. 766. McGraw-Hill, New York, 1953; and L. Landau and E. Lifschitz, Quantum Mechanics, Non-relativistic Theory, pp. 72 and 80. Pergamon, Oxford, 1965.
2. This potential has been known in literature by many different names such as the Pöschl-Teller potential, the Eckart potential and others. To avoid confusion, we shall name it by the function itself. Because of its long history, there are many references. The most thorough discussion in books are found in S. Flügge, Practical Quantum Mechanics. Springer-Verlag, Berlin, 1971. Other textbook references are P.M. Morse and H. Feshbach, Methods of Theoretical Physics, p. 766. McGraw-Hill, New York, 1953; and L. Landau and E. Lifschitz, Quantum Mechanics, Non-relativistic Theory, pp. 72 and 80. Pergamon, Oxford, 1965.
3. This potential has been known in literature by many different names such as the Pöschl-Teller potential, the Eckart potential and others. To avoid confusion, we shall name it by the function itself. Because of its long history, there are many references. The most thorough discussion in books are found in S. Flügge, Practical Quantum Mechanics. Springer-Verlag, Berlin, 1971. Other textbook references are P.M. Morse and H. Feshbach, Methods of Theoretical Physics, p. 766. McGraw-Hill, New York, 1953; and L. Landau and E. Lifschitz, Quantum Mechanics, Non-relativistic Theory, pp. 72 and 80. Pergamon, Oxford, 1965.
4. Gardner, C.S., Greene, J.M., Kruskal, M.D. and Miura, R.M., Commun. Pure Appl. Math., 27, 1974, 97.
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9. Montroll, E.W., J. Math. Phys., 11, 1970, 635; Wu, C.H. and Montroll, E.W., J. Nonmetals Semiconduct., 2, 1975, 153; Wu, C.H. and Lee, F.T., J. Phys. Chem. Solids, 46, 1985, 1255; and Sacks, R.A. and Robinson, J.E., Phys. Rev., B21, 1980, 1449.
10. Montroll, E.W., J. Math. Phys., 11, 1970, 635; Wu, C.H. and Montroll, E.W., J. Nonmetals Semiconduct., 2, 1975, 153; Wu, C.H. and Lee, F.T., J. Phys. Chem. Solids, 46, 1985, 1255; and Sacks, R.A. and Robinson, J.E., Phys. Rev., B21, 1980, 1449.
11. Kiriushcheva, N. and Tong, B.Y., To be published.
12. Newton, R.G., Scattering Theory of Waves and Particles, 2nd edn., p. 357. Springer-Verlag, New York, 1966.
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