On the spectrum of the two-dimensional periodic Dirac operator

Theoretical and Mathematical Physics

Volumn 118, Issue 1, 1999, Pages 1-11

  Danilov, L I ^a  

^a PHYSICOTECHNICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033245430     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02557191     Document Type: Article

References (14)

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2. 2. L. I. Danilov, Theor. Math. Phys., 103, 349-365 (1995).
3. 3. I. M. Gelfand, Dokl. Akad. Nauk SSSR, 73, 1117-1120 (1950).
4. 4. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 4, Analysis of Operators, Acad. Press, New York (1978).
5. 5. L. E. Thomas, Commun. Math. Phys., 33, 335-343 (1973).
6. 6. L. I. Danilov, Theor. Math. Phys., 85, 1039-1048 (1990).
7. 7. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1, Functional Analysis, Acad. Press, New York (1972).
8. 8. M. Sh. Birman and T. A. Suslina, St. Petersburg Math. J., 9, No. 1, 21-32 (1998).
9. 9. L. I. Danilov, "Spectrum of the Dirac operator with a periodic potential. III" [in Russian] (No. 2252-B92 deposited 10.07.92), VINITI, Moscow (1992).
10. 10. L. I. Danilov, "On the spectrum of the Dirac operator with a periodic potential," Preprint, Phys. Techn. Inst., Urals Branch, USSR Acad. Sci., Sverdlovsk (1987).
11. 11. L. I. Danilov, "Spectrum of the Dirac operator with a periodic potential. VI" [in Russian] (No. 3855-B96 deposited 31.12.96), VINITI, Moscow (1996).
12. 12. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton (1970).
13. 13. L. I. Danilov, "Spectrum of the Dirac operator with a periodic potential. I" [in Russian] (No. 4588-B91 deposited 12.12.91), VINITI, Moscow (1991).
14. 14. L. I. Danilov, "Spectrum of the Dirac operator with a periodic potential. IV" [in Russian] (No. 264-B95 deposited 31.01.95), VINITI, Moscow (1995).