Literature Cited
M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 2, Academic Press, New York (1975).
M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol 4, Academic Press, New York (1978).
L. I. Danilov, “On the spectrum of the Dirac operator with periodic potential,” Preprint [in Russian], Physicotechnical Institute of the Urals Branch of the USSR Academy of Sciences, Sverdlovsk (1987).
L. E. Thomas, Commun. Math. Phys.,33, 335 (1973).
B. J. Harris, Proc. R. Soc. Edinburgh,89A, 55, (1981).
L. I. Danilov, “A property of an integral lattice in ℝ3 and spectrum of the Dirac operator with periodic potential,” Preprint [in Russian], Physicotechnical Institute of the Urals Branch of the USSR Academy of Sciences, Sverdlovsk (1988).
Additional information
Physicotechnical Institute, Urals Branch, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 85, No. 1, pp. 41–53, October, 1990.
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Danilov, L.I. Spectrum of the dirac operator in ℝn with periodic potential. Theor Math Phys 85, 1039–1048 (1990). https://doi.org/10.1007/BF01017245
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DOI: https://doi.org/10.1007/BF01017245