@article{AIHPA_1993__59_3_315_0, author = {Schmidt, Karl Michael}, title = {On the genericity of nonvanishing instability intervals in periodic Dirac systems}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {59}, year = {1993}, pages = {315-326}, mrnumber = {1276329}, zbl = {0794.34076}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1993__59_3_315_0} }
Schmidt, Karl Michael. On the genericity of nonvanishing instability intervals in periodic Dirac systems. Annales de l'I.H.P. Physique théorique, Tome 59 (1993) pp. 315-326. http://gdmltest.u-ga.fr/item/AIHPA_1993__59_3_315_0/
[1] K spektral'noi teorii uravnenija Lame, Istor.-Mat. Issled., Vol. 23, 1978, pp. 77-86.
,[2] Almost Periodic Schrödinger Operators: I. Limit Periodic Potentials, Comm. Math. Phys., Vol. 82, 1981, pp. 101-120. | MR 638515 | Zbl 0484.35069
and ,[3] Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe, Acta Math., Vol. 78, 1946, pp. 1-96. | MR 15185 | Zbl 0063.00523
,[4] A Note on Mathieu Functions, Indag. Math., Vol. 10, 1948, pp. 319- 321. | MR 29008 | Zbl 0031.12103
,[5] Lectures on Analysis I, Integration and Topological Vector Spaces, W. A. Benjamin, New York, Amsterdam, 1969. | Zbl 0181.39601
,[6] The Spectral Theory of Periodic Differential Equations, Scottish Academic Press, Edinburgh, 1973. | Zbl 0287.34016
,[7] A Proof of the Impossibility of the Coexistence of Two Mathieu Functions, Proc. Camb. Phil. Sol., Vol. 21, 1922, pp. 117-120. | JFM 48.1263.02
,[8] Periodic Solutions of a Linear Differential Equation of the Second Order with Periodic Coefficients, Proc. Camb. Phil. Soc., Vol. 23, 1927, pp. 44-46. | JFM 52.0461.03
,[9] Further Investigations into the Periodic Lamé Functions, Proc. Roy. Soc. Edinburgh, Vol. 60, 1940, pp. 83-99. | MR 2400 | Zbl 0027.21201
,[10] Perturbation Theory for Linear Operators, Springer, Berlin etc., 1966. | Zbl 0148.12601
,[11] Über die Stabilität der Lösungen Hillscher Differentialgleichungen mit drei unabhängigen Parametern, Z. Angew. Math. Mech., Vol. 23, 1943, pp. 149-155. | MR 9790 | Zbl 0028.35803
and ,[12] Sur les solutions de l'équation différentielle linéaire du second ordre à coefficient périodique, Proc. Lond. Math. Soc., (2), Vol. 31, 1930, pp. 417-438. | JFM 56.1049.01
,[13] An Example of a Schrödinger Equation with Almost Periodic Potential and Nowhere Dense Spectrum, Comment. Math. Helv., Vol. 56, 1981, pp. 198-224. | MR 630951 | Zbl 0477.34018
,[14] On the Essential Spectrum of Dirac Operators with Spherically Symmetric Potentials, Math. Ann. (to appear). | MR 1238410 | Zbl 0796.35120
,[15] On the Genericity of Nonvanishing Instability Intervals in Hill's Equation, Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 24, 1976, pp. 91-93. | Numdam | MR 473321 | Zbl 0346.34015
,[16] Spectral Theory of Ordinary Differential Operators, Springer Lecture Notes Math., 1258, Springer, Berlin etc., 1987. | MR 923320 | Zbl 0647.47052
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