Herbst, I. W.; Howland, J. S. The Stark ladder and other one-dimensional external field problems. (English) Zbl 0473.47037 Commun. Math. Phys. 80, 23-42 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 17 Documents MSC: 47E05 General theory of ordinary differential operators 34L99 Ordinary differential operators 81Q15 Perturbation theories for operators and differential equations in quantum theory 34M99 Ordinary differential equations in the complex domain Keywords:Stark effect; Stark ladder; resonances; random potential; dilation analyticity PDFBibTeX XMLCite \textit{I. W. Herbst} and \textit{J. S. Howland}, Commun. Math. Phys. 80, 23--42 (1981; Zbl 0473.47037) Full Text: DOI References: [1] Anguilar, J., Combes, J. M.: Commun. Math. Phys.22, 269-279 (1971) · Zbl 0219.47011 · doi:10.1007/BF01877510 [2] Anderson, P. W.: Phys. Rev.109, 1492 (1958) · doi:10.1103/PhysRev.109.1492 [3] Avron, J. E.: Phys. Rev. Lett.37, 1568 (1976); J. Phys. A.12, 2393 (1979) · doi:10.1103/PhysRevLett.37.1568 [4] Avron, J. E., Herbst, I. W.: Commun. Math. Phys.52, 239-254 (1977) · Zbl 0351.47007 · doi:10.1007/BF01609485 [5] Balslev, E., Combes, J. M.: Commun. Math. Phys.22, 280-294 (1971) · Zbl 0219.47005 · doi:10.1007/BF01877511 [6] Bentosela, F.: Commun. Math. Phys.68, 173-182 (1979) · doi:10.1007/BF01418126 [7] Faris, W. G., Lavine, R.: Commun. Math. Phys.35, 39-48 (1974) · Zbl 0287.47004 · doi:10.1007/BF01646453 [8] Feller, W.: An introduction to probability theory and its applications v. II (2nd ed) New York: Wiley 1971 · Zbl 0219.60003 [9] Goldstein, I. Ja., Molchanov, S. A.: Dokl. Akad. Nauk. SSSR230, 761-764 (1976) [10] Goldstein, I. Ja., Molchanov, S. A., Pastur, L. A.: Funkts. Anal. Prilozhen.11, 1-10 (1977) · Zbl 0368.34015 · doi:10.1007/BF01135526 [11] Reed, M., Simon, B.: Methods of modern mathematical physics Vol. I. New York: Academic Press 1972 · Zbl 0242.46001 [12] Rejto, P. A., Sinha, K.: Helv. Phys. Acta.49, 389-413 (1976) [13] Steinberg, S.: Arch. Rat Mech. Anal.31, 372-380 (1968) · Zbl 0167.43002 · doi:10.1007/BF00251419 [14] Thouless, D. J.: Phys. Rep.13C, 95 (1974) [15] Titchmarsh, E. C.: Proc. R. Soc.A207, 321-328 (1951);A210, 30-47 (1951); J. Anal. Math.4, 187-208 (1954/56) [16] Wannier, G. H.: Phys. Rev.117, 432 (1960);181, 1364 (1969); Rev. Mod. Phys.34, 645 (1962) · Zbl 0091.23502 · doi:10.1103/PhysRev.117.432 [17] Zak, J.: Phys. Rev. Lett.20, 1477 (1968); Phys. Rev.181, 1366 (1969) · doi:10.1103/PhysRevLett.20.1477 [18] Howland, J. S.: Proceeding of the special session on Mathematical Physics. AMS Meeting, Boulder, Co. April, 1980 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.