@article{RCP25_1989__40__19_0, author = {Helffer, B. and Sj\"ostrand, J.}, title = {Periodic {Schr\"odinger} {Operators} with {Constant} {Weak} {Magnetic} {Fields}}, journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25}, note = {talk:2}, pages = {19--26}, publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur}, volume = {40}, year = {1989}, language = {en}, url = {http://www.numdam.org/item/RCP25_1989__40__19_0/} }
TY - JOUR AU - Helffer, B. AU - Sjöstrand, J. TI - Periodic Schrödinger Operators with Constant Weak Magnetic Fields JO - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25 N1 - talk:2 PY - 1989 SP - 19 EP - 26 VL - 40 PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur UR - http://www.numdam.org/item/RCP25_1989__40__19_0/ LA - en ID - RCP25_1989__40__19_0 ER -
%0 Journal Article %A Helffer, B. %A Sjöstrand, J. %T Periodic Schrödinger Operators with Constant Weak Magnetic Fields %J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25 %Z talk:2 %D 1989 %P 19-26 %V 40 %I Institut de Recherche Mathématique Avancée - Université Louis Pasteur %U http://www.numdam.org/item/RCP25_1989__40__19_0/ %G en %F RCP25_1989__40__19_0
Helffer, B.; Sjöstrand, J. Periodic Schrödinger Operators with Constant Weak Magnetic Fields. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 40 (1989), Exposé no. 2, 8 p. http://www.numdam.org/item/RCP25_1989__40__19_0/
[ASi] Stability of gaps for periodic potentiels under variation of a magnetic field, J. Phys. A : Math. Gen. 18 (1985), 2199-2205. | MR | Zbl
, ,[BoGH] Parametrixes d'opérateurs pseudo-différentiels à caractéristiques multiples, Astérisque, 34-35, 93-121. | MR | Zbl
, , ,[Be] Characterization of P.D.O. and applications, Duke Math. J., 44 (1977), 45-57. | MR | Zbl
,[B1] Almost periodicity in solid state physics and C*-algebras. Harald Bohr centennary conference on almost periodic functions, April 25, 1987. | Zbl
,[B2] C*-algebras in solid state physics, 2D-electrons in a uniform magnetic field, Warwick conference on operator algebras, July 1987. | MR | Zbl
,[GuRT] Semiclassical methods in solid state physics, Comm. Math. Physics, 116 (1988), 401-415 | MR | Zbl
, , ,[HS1] Equation de Schrödinger avec champs magnétique et équation de Harper, Préprint (1988)
, ,[HS2] Opérateurs de Schrödinger avec champ magnétique faible, Sém. des E.D.P. de l'Ecole Polytéchnique, exp. n° . . . , 28 Fév. 1989. | Numdam | Zbl
, ,[HS3]
, , In preparation.[Hö] The analysis of linear partial differential operators III, Grundlehren der Math. Wiss., Springer, 274 (1985). | MR | Zbl
,[L] The effect of a magnetic field on electrons in a periodic potentiel, Phys. Rev. 84, n° 4 (1951), 814-817. | MR | Zbl
,[N1] Existence of exponentially localized Wannier functions, Comm. Math. Phys., 91 (1983), 81-85. | MR | Zbl
,[N2] Stability of energy gaps under variation of the magnetic field. Letters in Mathematical Physics, 11 (1986), 127-132. | MR | Zbl
,[N3] Bloch electrons in a magnetic field: rigorous justification of the Peierls-Onsager effective Hamiltonian, preprint, (April 1988). | MR | Zbl
,[P] Zur Theorie des Diamagnetismus von Leitungelectronen, Z. für Physik 80 (1933), 763-791. | JFM | Zbl
,[Sh] The density of states of selfadjoint elliptic operators with almost periodic coefficients. Trudy Sem. Petrovsk. n° 3 (1978), 243-275. | MR | Zbl
,[Z] Magnetic translation group, Physical Review, Vol. 134, n° 6A, June 1964. | MR | Zbl
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