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Prog. Theor. Phys. Vol. 11 No. 1 (1954) pp. 20-24
Interaction between Electrons in One-dimensional Free-electron Model with Application to Absorption Spectra of Cyanine Dyes
Gentaro Araki and
Huzihiro Araki
Faculty of Engineering, Kyoto University
(Received November 13, 1953)
Abstract:
The interaction between electrons in a deep square-well potential field is discussed in case of one dimension. The potential of one-dimensional two-electron forces is assumed to be represented by a transversal average of the three-dimensional Coulomb potential. The calculated excitation energy is compared with observed data of absorption maxima for cyanine dyes.
URL :
http://ptp.ipap.jp/link?PTP/11/20/
DOI : 10.1143/PTP.11.20
References:
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S. Baylis, J. Chem. Phys. 16 (1948), 287[CrossRef].
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H. Kuhn, J. Chem. Phys. 16 (1948), 840[CrossRef].
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W. T. Simpson, J. Chem. Phys. 16 (1948), 1124[CrossRef].
- G. Araki and T. Murai, Prog. Theor. Phys. 8 (1952), 639[PTP].
- L. I. Schiff, Quantum Mechanics (1949), p. 34.
- E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (1935), p. 169.
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L. G. S. Brooker, P. H. Sprague, C. P. Smyth and G. L. Lewis, J. Am. Chem. Soc. 62 (1940), 1116[CrossRef].
L. G. S. Brooker, G. H. Keyes and W. W. Williams, J. Am. Chem. Soc. 64 (1942), 199[CrossRef].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 15 No. 4 (1956) pp. 307-321
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Absorption Spectra of Unsymmetrical Cyanines
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Gentaro Araki and Sigeru Huzinaga
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Progress of Theoretical Physics Vol. 15 No. 5 (1956) pp. 495-500
:
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Interaction between Electrons in Two-Dimensional Free-Electron Model for Conjugated Systems
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Sigeru Huzinaga
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Progress of Theoretical Physics Vol. 16 No. 3 (1956) pp. 197-211
:
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Partial Description of Quantum-Mechanical System
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Gentaro Araki
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Progress of Theoretical Physics Vol. 16 No. 3 (1956) pp. 212-221
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Free-Electron Model of Benzene
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Gentaro Araki