The short-range expansion in solid state physics

Helge Holden; Raphael Høegh-Krohn; Steinar Johannesen

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 41, Issue: 4, page 335-362
  • ISSN: 0246-0211

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Holden, Helge, Høegh-Krohn, Raphael, and Johannesen, Steinar. "The short-range expansion in solid state physics." Annales de l'I.H.P. Physique théorique 41.4 (1984): 335-362. <http://eudml.org/doc/76264>.

@article{Holden1984,
author = {Holden, Helge, Høegh-Krohn, Raphael, Johannesen, Steinar},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {one-electron approximation in solid state; short-range potential; infinite crystal; infinite straight polymer; infinite monomolecular layer; Hamiltonian with point interactions; Brillouin zone; expand the eigenvalues and resonances},
language = {eng},
number = {4},
pages = {335-362},
publisher = {Gauthier-Villars},
title = {The short-range expansion in solid state physics},
url = {http://eudml.org/doc/76264},
volume = {41},
year = {1984},
}

TY - JOUR
AU - Holden, Helge
AU - Høegh-Krohn, Raphael
AU - Johannesen, Steinar
TI - The short-range expansion in solid state physics
JO - Annales de l'I.H.P. Physique théorique
PY - 1984
PB - Gauthier-Villars
VL - 41
IS - 4
SP - 335
EP - 362
LA - eng
KW - one-electron approximation in solid state; short-range potential; infinite crystal; infinite straight polymer; infinite monomolecular layer; Hamiltonian with point interactions; Brillouin zone; expand the eigenvalues and resonances
UR - http://eudml.org/doc/76264
ER -

References

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  1. [1] S. Albeverio, F. Gesztesy, R. Høegh-Krohn, The low energy expansion in non–relativistic scattering theory. Ann. Inst. H. Poincaré, Sec. A, t. 37, 1982, p. 1-28. Zbl0528.35076
  2. [2] S. Albeverio, F. Gesztesy, R. Høegh-Krohn, W. Kirsch. On point interactions in one dimension. J. Operator Theory, t. 12, 1984, p. 101-126. Zbl0561.35023MR757115
  3. [3] S. Albeverio, R. Høegh-Krohn, Point interactions as limits of short range interactions. J. Operator Theory, t. 6, 1981, p. 313-339. Zbl0501.35023MR643694
  4. [4] R. Grossmann, R. Høegh-Krohn, M. Mebkhout, A class of explicitly soluble, local, many-center. Hamiltonians for one-particle quantum mechanics in two and three dimensions I. J. Math. Phys., t. 21, 1980, p. 2367-2385. MR585589
  5. [5] A. Grossmann, R. Høegh-Krohn, M. Mebkhout, The one-particle theory of periodic point interactions. Commun. Math. Phys., t. 77, 1980, p. 87-110. MR588688
  6. [6] R. Høegh-Krohn, H. Holden, F. Martinelli, The spectrum of defect periodic point interactions. Lett. Math. Phys., t. 7, 1983, p. 221-228. Zbl0539.47003MR706211
  7. [7] H. Holden, R. Høegh-Krohn, S. Johannesen. The Short-Range Expansion. Adv. in Appl. Math., t. 4, 1983, p. 402-421. Zbl0546.35019MR725903
  8. [8] T. Kato, Perturbation Theory for Linear Operators. Corr. print of 2nd ed. 1980, Springer Verlag N. Y. Zbl0435.47001
  9. [9] R. de L. Kronig, W.G. Penney, Quantum Mechanics of Electrons in Crystal Lattices. Proc. Roy. Soc. London Ser. A, t. 130, 1931, p. 499-513. Zbl0001.10601JFM57.1587.02
  10. [10] M. Reed, B. Simon, Methods of modern mathematical physics, II. Fourier Analysis, Self-Adjointness. Academic Press, N. Y. 1975. Zbl0308.47002MR493420
  11. [11] M. Reed, B. Simon, Methods of modern mathematical physics, IV, Analysis of Operators. Academic Press, N. Y., 1978. Zbl0401.47001MR493421
  12. [12] B. Simon, Notes on Infinite Determinants of Hilbert Space Operators. Adv. in Math., t. 24, 1977, p. 244-273. Zbl0353.47008MR482328
  13. [13] B. Simon, Quantum Mechanicsfor Hamiltonians Defined as Quadratic Forms. Princeton Univ. Press, 1971. Zbl0232.47053MR455975

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