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Séminaire Équations aux dérivées partielles (Polytechnique)

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V. Buslaev
On spectral properties of adiabatically perturbed Schroedinger operators with periodic potentials
Séminaire Équations aux dérivées partielles (Polytechnique) (1990-1991), Exp. No. 23, 15 p.
Article PDF | Analyses MR 1131596 | Zbl 0739.35053 | 1 citation dans Cedram

Bibliographie

[1] Buslaev, V.S., On adiabatic perturbation of a periodic potential, Teoreticheskaya i matematichskaya fizika 58, N 2, (1984), 233-243.  MR 743409 |  Zbl 0534.34064
[2] Buslaev, V.S., Semiclassical approximation for equations with periodic coefficients, Russian Mathem. Surveys 42: (1987), 97-125.  MR 933996 |  Zbl 0698.35130
[3] Guillot, J.C.; Ralston, J. and Trubowitz, E., Semi-classical asymptotics in solid state physics, Commun. Math. Phys. 116, (1988), 401-415. Article |  MR 937768 |  Zbl 0672.35014
[4] Maslov V.P., Nonstandard characteristics in asymptotic problems, Russian Mathem. Surveys 38: 6, (1983), 3-36.  MR 728722 |  Zbl 0562.35007
[5] Buslaev, V.S., Dmitrieva, L.A., Spectral properties of the Bloch electrons in external fields, Preprint University of Berkeley PAM-477, (1989).
[6] Buslaev, V.S., Dmitrieva, L.A., Bloch electrons in the external electric field, in Schroedinger operators, standard and non-standard (eds P. Exner and P. Seba), World Scientific, Singapore, (1989), 103-129.  MR 1091994 |  Zbl 0725.34097
[7] Buslaev, V.S., Dmitrieva, L.A., A Bloch electron in an external field, Leningrad Math. J.1: 2, (1990), 287-320.  MR 1025153 |  Zbl 0726.34070
[8] Buslaev, V.S., Spectral properties of the operators Hψ= -ψxx + p(x)ψ + V(εx), p is periodic, Operator Theory: Advances and Applications 46, (1990), 85-107.  Zbl 0723.47042
[9] Buslaev, V.S., Spectral properties of adiabatically perturbed differential operators with periodic coefficients, in Recent Development in Quantum Mechanics, Mathematical Physics Studies 12 (eds A. Boutet de Monvel, P. Dita, G. Nenciu, R. Purice), Kluwer Academic Publishers, (1991), 97-112.  MR 1189400 |  Zbl 0726.34068
[10] Buslaeva, M.V., Asymptotical dynamics and spectral analysis of the one-dimensional Schroedinger operators with accelerating potentials, in Problems in Mathematical Physics 11, (ed M. Birman), Leningrad University, (1986), 67-77.  MR 857108 |  Zbl 0599.47013
[11] Buslaeva, M.V., Asymptotical dynamics and spectral analysis of the Schroedinger operator with weakly accelerating potentials, Zapiski Nauchnih Seminarov LOMI 164 (ed L. Faddeev), Leningrad, Nauka, (1987), 10-19.  MR 947325 |  Zbl 0688.35069
[12] Buslaev, V.S., Dmitrieva, L.A., Adiabatic perturbation of a periodic potential. II, Teoreticheskaya i matematicheskaya fizika 73, (1987), 430-442.  MR 939788 |  Zbl 0643.34068
[13] Bentosela, F., Stark-Wannier resonant states, preprint, Centre de Physique Theorique Marseille, CPT-90/ P.2256, (1990), 11pp  MR 1189399 |  Zbl 0726.34075
[14] Combes, J.M., Hislop P.D., Quantum tunnelling, non trapping and the existence of Stark ladder resonances, J. Phys. A: Math. Gen. 23, (1990), 1-11.  MR 1048780 |  Zbl 0708.35061
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