Summary
Matching conditions inside a crystal and between two different semi-infinite media are studied from a general point of view, through an analysis of the properties of the logarithmic derivatives.
Riassunto
Si studiano da un punto di vista generale, attraverso un'analisi delle proprietà delle derivate logaritmiche, le condizioni affinchè si raccordino sia all'interno del cristallo che fra due mezzi infiniti.
Резюме
Исследуются условия согласования внутри кристалла и между двумя различными полубесконечными средами, используя анализ свойств логарифмических производных.
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References
R. Kronig andW. G. Penney:Proc. R. Soc. London Ser. A,170, 499 (1931).
H. M. Jones:Phys. Rev.,72, 1602 (1949).
W. Kohn:Phys. Rev.,115, 809 (1959).
S. G. Davison andI. D. Levine:Solid State Phys.,26, 2 (1970).
E. Aerts:Physica (Utrecht),26, 1047 (1960)(at p. 1063 too).
M. Steslicka andK. F. Wojciechowski:Physica (Utrecht),32, 1274 (1966).
B. D. Kandilarov, V. Detcheva andP. C. Petrova:Phys. Status Solidi B,70, 775 (1975).
B. D. Kandilarov, M. G. Tashkova andP. C. Petrova:Phys. Status Solidi B,87, 361 (1978).
M. Steslicka andS. Sengupte:Physica (The Hague),54, 402 (1971).
W. Shockley:Phys. Rev.,56, 317 (1939).
F. Garcia-Moliner:Ann. Phys. (Paris),2, 179 (1977).
V. Heine:Proc. Phys. Soc.,81, 300 (1962).
E. I. Blount:Solid State Phys.,13, 305 (1962).
F. Forstmann: inTheory of Imperfect Crystalline Solids, Trieste Lectures, 1970 (Wien, 1971).
F. Garcia-Moliner andJ. Rubio:J. Phys. C,2, 1789 (1969); see alsoF. Garcia-Moliner andF. Flores:Ann. Phys. (Paris),2, 179 (1977).
G. Iadonisi andB. Preziosi:Nuovo Cimento B,27, 193 (1975).
A. Messiah:Quantum Mechanics, Chap. III (Amsterdam, 1965) p. 98.
E. C. Titchmarch:Eigenfunction Expansions Associated with Second Order Different Equations (Oxford, 1946).
F. Bassani, G. Iadonisi andB. Preziosi:Rep. Prog. Phys.,37, 1099 (1974).
D. R. Penn:Phys. Rev.,128, 2093 (1962).
G. Iadonisi andB. Preziosi:Phys. Rev. B,9, 4178 (1974).
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Ramaglia, V.M., Preziosi, B. & Tagliacozzo, A. Matching conditions in and between one-dimensional crystals. Nuov Cim B 53, 411–427 (1979). https://doi.org/10.1007/BF02739904
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DOI: https://doi.org/10.1007/BF02739904