Points tournants et résonances de Stark-Wannier

Alain Grigis[1]

  • [1] Université de Paris-Nord, Département de Mathématiques, CNRS - UMR 7539, 93430 Villetaneuse, France

Séminaire Équations aux dérivées partielles (1997-1998)

  • Volume: 1997-1998, page 1-11

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Grigis, Alain. "Points tournants et résonances de Stark-Wannier." Séminaire Équations aux dérivées partielles 1997-1998 (1997-1998): 1-11. <http://eudml.org/doc/10937>.

@article{Grigis1997-1998,
affiliation = {Université de Paris-Nord, Département de Mathématiques, CNRS - UMR 7539, 93430 Villetaneuse, France},
author = {Grigis, Alain},
journal = {Séminaire Équations aux dérivées partielles},
language = {fre},
pages = {1-11},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Points tournants et résonances de Stark-Wannier},
url = {http://eudml.org/doc/10937},
volume = {1997-1998},
year = {1997-1998},
}

TY - JOUR
AU - Grigis, Alain
TI - Points tournants et résonances de Stark-Wannier
JO - Séminaire Équations aux dérivées partielles
PY - 1997-1998
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1997-1998
SP - 1
EP - 11
LA - fre
UR - http://eudml.org/doc/10937
ER -

References

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  2. J. Asch and P. Briet  : Lower bounds on the width of Stark-Wannier type resonances, Commun. in Math. Phys. 179 (1996), 725-736 Zbl0851.34078MR1400760
  3. J. Agler and R. Froese  : Existence of Stark ladders resonances, Commun. Math. Phys. 100, (1985), 161-171. Zbl0651.47006MR804457
  4. V. S. Buslaev  : Quasiclassical approximation for equations with periodic coefficients, Uspekhi Mat. Nauk 42 (1987), no. 6, 77-98. Zbl0698.35130MR933996
  5. V. S. Buslaev  : Adiabatic perturbation of a periodic potential, Teoret. Mat. Fiz. 58 (1984), no. 2, 223-243. Zbl0534.34064MR743409
  6. V. S. Buslaev  : On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials, Séminaire EDP de l’Ecole Polytechnique (1990-91), exposé no. 23. Zbl0739.35053
  7. V. S. Buslaev and L. A. Dimitrieva  : A Bloch electron in an external field, Algebra i Analiz 1 (1989), no 23, 1-29, traduit dans Leningrad Math. J. 1 (1990), no. 2, 287-320. Zbl0726.34070MR1025153
  8. V. Buslaev et A. Grigis  : Imaginary parts of Stark-Wannier resonances, à paraître à Journal of Mathematical Physic (1998) Zbl1001.34075MR1611735
  9. F. Bentosela and V. Grecchi  : Stark-Wannier ladders, Commun. Math. Phys. 142, (1991), 169-192. Zbl0743.35053MR1137778
  10. J.M. Combes and P.D. Hislop  : Stark ladders resonances for small electric fields, Commun. Math. Phys. 140, (1991), 291-320. Zbl0737.34060MR1124271
  11. M. V. Fedoryuk  : Asymptotic analysis, Springer-Verlag, Berlin Heidelberg, (1993) Zbl0782.34001MR1295032
  12. M. V. Fedoryuk and V. P. Maslov  : Quasi-Classical Approximation for the Equations of Quantum Mechanics, Reidl, Dordrecht, (1981). Zbl0458.58001
  13. N. E. Firsova  : The Riemann surface of quasimomentum and scattering theory for the perturbed Hill operator, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 51 (1975), 183-196. Zbl0349.34020MR417858
  14. V. Grecchi, M. Majoli and A. Sacchetti  : Stark resonances in desordered systems, Commun. Math. Phys. 146, (1992), 231-241. Zbl0770.47030MR1165181
  15. V. Grecchi and A. Sacchetti  : Lifetime of the Wannier-Stark resonances and perturbation theory, Commun. Math. Phys., to appear Zbl0899.35086MR1463046
  16. F. Maruyama  : thèse Université Paris 13, (1997). 
  17. V. A. Marchenko and I. V. Ostrovskii  : Characteristics of the spectrum of the Hill operator, Mat. Sb. 97 (1975), no. 4, 540-606. Zbl0327.34021MR409965
  18. G. Nenciu  : Adiabatic theorem and spectral concentration. I. Arbitrary order spectral concentration for the Stark effect in atomis physics, Commun. Math. Phys. 82, (1981), 121-135. Zbl0493.47009MR638516

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