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TMF, 1978, Volume 37, Number 2, Pages 281–288 (Mi tmf3119)  

This article is cited in 5 scientific papers (total in 5 papers)

Some spectral identities for the one-dimensional hill operator

N. E. Firsova


Abstract: Some relations are obtained between the Bloch functions (Floquet solution), the dispersion $d\lambda/dk$, the effective masses, and the real mass of a particle. In particuiar, it is shown that the sum of the effective masses of a particle converges absolutely and is equal to its real mass.

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English version:
Theoretical and Mathematical Physics, 1978, 37:2, 1022–1027

Bibliographic databases:

Received: 05.12.1977

Citation: N. E. Firsova, “Some spectral identities for the one-dimensional hill operator”, TMF, 37:2 (1978), 281–288; Theoret. and Math. Phys., 37:2 (1978), 1022–1027

Citation in format AMSBIB
\Bibitem{Fir78}
\by N.~E.~Firsova
\paper Some spectral identities for the one-dimensional hill operator
\jour TMF
\yr 1978
\vol 37
\issue 2
\pages 281--288
\mathnet{http://mi.mathnet.ru/tmf3119}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=516212}
\zmath{https://zbmath.org/?q=an:0401.34025}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 37
\issue 2
\pages 1022--1027
\crossref{https://doi.org/10.1007/BF01036374}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. B. S. Pavlov, S. V. Frolov, “Spectral identities for band spectrum in one-dimensional case”, Theoret. and Math. Phys., 89:1 (1991), 1013–1019  mathnet  crossref  mathscinet  isi
    2. S. V. Frolov, “Multidimensional leray residues and effective masses of a lattice model”, Theoret. and Math. Phys., 89:1 (1991), 1123–1126  mathnet  crossref  mathscinet  isi
    3. B. S. Pavlov, S. V. Frolov, “Formula for the sum of the effective masses of a multidimensional lattice”, Theoret. and Math. Phys., 87:3 (1991), 657–668  mathnet  crossref  mathscinet  zmath  isi
    4. S. V. Frolov, “A spectral identity for the multidimensional Schrödinger equation with periodic potential”, Theoret. and Math. Phys., 91:3 (1992), 692–695  mathnet  crossref  mathscinet  isi
    5. A. R. Bikmetov, I. Kh. Khusnullin, “Perturbation of Hill operator by narrow potentials”, Russian Math. (Iz. VUZ), 61:7 (2017), 1–10  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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