Potential wells in high dimensions I

Johannes Sjöstrand

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 58, Issue: 1, page 1-41
  • ISSN: 0246-0211

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Sjöstrand, Johannes. "Potential wells in high dimensions I." Annales de l'I.H.P. Physique théorique 58.1 (1993): 1-41. <http://eudml.org/doc/76596>.

@article{Sjöstrand1993,
author = {Sjöstrand, Johannes},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {semi-classical Schrödinger operator; low part of the spectrum; asymptotic expansion},
language = {eng},
number = {1},
pages = {1-41},
publisher = {Gauthier-Villars},
title = {Potential wells in high dimensions I},
url = {http://eudml.org/doc/76596},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Sjöstrand, Johannes
TI - Potential wells in high dimensions I
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 58
IS - 1
SP - 1
EP - 41
LA - eng
KW - semi-classical Schrödinger operator; low part of the spectrum; asymptotic expansion
UR - http://eudml.org/doc/76596
ER -

References

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  1. [A1] C. Albanese, Localized Solutions of Hartree Equations for Narrow Band Crystals, Comm. Math. Phys., Vol. 120, 1988, pp. 97-103. Zbl0671.35071MR972544
  2. [A2] C. Albanese, A Continuation Method for Non-Linear Eigenvalue Problems, J. Funct. Anal., Vol. 84, 1989, pp. 181-187. Zbl0671.47055MR999495
  3. [D] F. Daumer, Equation de Schrödinger dans l'approximation du tight-binding, Thesis, Université de Nantes, 2 février 1990. 
  4. [HS1] B. Helffer and J. Sjöstrand, Multiple Wells in the Semiclassical Limit I, Comm. P.D.E., Vol. 9, (4), 1984, pp. 337-408. Zbl0546.35053MR740094
  5. [HS2] B. Helffer and J. Sjöstrand, Puits multiples en limite semiclassique II, interaction moléculaire, symétries, perturbation, Ann. I.H.P., Vol. 42, (2), 1985. pp. 127-212. Zbl0595.35031MR798695
  6. [HS3] B. Helffer and J. Sjöstrand, Multiple Wells in the Semiclassical Limit III. Interaction through Non-Resonant Wells, Math. Nachr., Vol. 124, 1985, pp. 263-313. Zbl0597.35023MR827902
  7. [MS] A. Menikoff and J. Sjöstrand, On the Eigenvalues of a Class of Hypoelliptic Operators, Math. Ann., Vol. 235, 1978, pp. 55-85. Zbl0375.35014MR481627
  8. [K] C. Kittel, Quantum Theory of Solids, John Wiley, 3rd ed., 1968. Zbl0121.44701
  9. [HeT] E.M. Henley and W. Thirring, Elementary Quantum Field Theory, McGraw Hill, 1962. Zbl0111.43101MR138396

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