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Prog. Theor. Phys. Supplement No.59 (1976) pp. 126-136
Quantum Theory of Soliton in a Periodic Exponential Lattice
Tadahiko Shirafuji
Department of Physics, Chiba University, Chiba
(Received May 18, 1976)
Abstract:
The quantum energy of one soliton state in the periodic exponential lattice is calculated by the WKB (semi-classical) approximation method. And problem to clarify the notion of the quantum theory of solitons are briefly discussed.
URL :
http://ptp.ipap.jp/link?PTPS/59/126/
DOI : 10.1143/PTPS.59.126
References:
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M. Toda, J. Phys. Soc. Jpn. 22 (1967), 431[JPSJ].
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These studies are reviewed by M. Toda, Phys. Rep. 18 (1975), 1[CrossRef].
- M. Kac and P. Moerbeke, Proc. Natl. Acad. Sci. 72 (1975), 1627; ibid. 72 (1975), 2879; Adv. in Math. 16 (1975), 160.
E. Date and S. Tanaka, Prog. Theor. Phys. 55 (1976), 457[PTP].
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D. J. Kaup, J. Math. Phys. 16 (1975), 2036[CrossRef].
L. D. Fadeev et al., JETP Lett. 21 (1975), 138.
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D. W. Maclaughlin, J. Math. Phys. 16 (1975), 96[CrossRef].
- H. Flashka and D. W. Maclaughlin, Prog. Theor. Phys. 55 (1976), 438[PTP].
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R. F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D 10 (1974), 4114[APS];
ibid. 11 (1975), 3424[APS].
For further references on this method, see these articles.
- E. Date and S. Tanaka, Prog. Theor. Phys. 55 (1976), 457[PTP]; Prog. Theor. Phys. Suppl. No. 59 (1976), 107, [PTP](this issue).
In their papers, all the periodic soliton solutions are given explicitly.
Citing Article(s) :
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Progress of Theoretical Physics Supplement No.59 (1976) pp. 1-35
:
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Development of the Theory of a Nonlinear Lattice
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Morikazu Toda
