Point Spectrum on a Continuous Spectrum for Weakly Perturbed Stark Type Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 4, pp. 31-44.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1995_29_4_a2,
     author = {S. N. Naboko and A. B. Pushnitskii},
     title = {Point {Spectrum} on a {Continuous} {Spectrum} for {Weakly} {Perturbed} {Stark} {Type} {Operators}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {31--44},
     publisher = {mathdoc},
     volume = {29},
     number = {4},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1995_29_4_a2/}
}
TY  - JOUR
AU  - S. N. Naboko
AU  - A. B. Pushnitskii
TI  - Point Spectrum on a Continuous Spectrum for Weakly Perturbed Stark Type Operators
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1995
SP  - 31
EP  - 44
VL  - 29
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1995_29_4_a2/
LA  - ru
ID  - FAA_1995_29_4_a2
ER  - 
%0 Journal Article
%A S. N. Naboko
%A A. B. Pushnitskii
%T Point Spectrum on a Continuous Spectrum for Weakly Perturbed Stark Type Operators
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1995
%P 31-44
%V 29
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1995_29_4_a2/
%G ru
%F FAA_1995_29_4_a2
S. N. Naboko; A. B. Pushnitskii. Point Spectrum on a Continuous Spectrum for Weakly Perturbed Stark Type Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 4, pp. 31-44. http://geodesic.mathdoc.fr/item/FAA_1995_29_4_a2/

[1] Berezin F. A., Shubin M. A., Uravnenie Shredingera, Izd-vo MGU, M., 1983 | MR

[2] Glazman I. M., Pryamye metody kachestvennogo spektralnogo analiza singulyarnykh differentsialnykh operatorov, Fizmatgiz, M., 1963 | MR

[3] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, T. 4, Mir, M., 1982 | MR

[4] Olver F., Vvedenie v asimptoticheskie metody i spetsialnye funktsii, Nauka, M., 1978 | MR

[5] Vakulenko A. F., “Neravenstvo Treva i otsutstvie polozhitelnykh sobstvennykh znachenii u operatora Shredingera s kompleksnym potentsialom”, Zap. nauchn. seminarov LOMI, 147, 1985, 13–17 | MR | Zbl

[6] Vakulenko A. F., “Otsutstvie svyazannykh sostoyanii dvukhchastichnoi sistemy vo vneshnem postoyannom elektricheskom pole”, Zap. nauchn. seminarov LOMI, 152, 1986, 18–20 | MR | Zbl

[7] Matveev V. B., Skriganov M. M., “Volnovye operatory dlya uravneniya Shredingera s bystro ostsilliruyuschim potentsialom”, DAN SSSR, 202:4 (1972), 755–757 | MR | Zbl

[8] Matveev V. B., “Volnovye operatory i polozhitelnye sobstvennye znacheniya dlya uravneniya Shredingera s ostsilliruyuschim potentsialom”, Teoret. i matem. fizika, 15:3 (1973), 353–366 | MR

[9] Naboko S. N., “O plotnom tochechnom spektre operatorov Shredingera i Diraka”, Teoret. i matem. fizika, 68:1 (1986), 18–28 | MR | Zbl

[10] Naboko S. N., Yakovlev S. I., “O tochechnom spektre diskretnogo operatora Shredingera”, Funkts. analiz i ego pril., 26:2 (1992), 85–88 | MR | Zbl

[11] Avron J. E., Herbst I. W., “Spectral and scattering theory of Schrödinger operators related to the Stark effect”, Commun. Math. Phys., 52:3 (1977), 239–254 | DOI | MR | Zbl

[12] Herbst I., Moller J. S., Skibsted E., Spectral Analysis of $N$-body Stark Hamiltonians, Preprint Aarhus Univ., Matem. Institut No 15, 1994 | MR

[13] Herbst I., Moller J. S., Skibsted E., Asymptotic Completeness of $N$-body Stark Hamiltonians, Preprint Aarhus Univ., Matem. Institut, No 14, 1994 | MR

[14] Kato T., “Growth properties of solutions of the reduced wave equation with a variable coefficient”, Comm. Pure Appl. Math., 12:3 (1959), 403–425 | DOI | MR | Zbl

[15] von Neumann J., Wigner E., Z. Phys., 30 (1929), 465–467

[16] Weidmann J., “Zur Spectraltheorie von Sturm–Liouville–Operatoren”, Math. Z., 98:4 (1967), 268–302 | DOI | MR | Zbl

[17] Walter J., “Absolute continuity of the essential spectrum of $-d^2 dx^2+q(x)$ without monotony of $q$”, Math. Z., 129:1 (1972), 83–94 | DOI | MR | Zbl

[18] Kornfeld I. P., Sinai Ya. G., Fomin S. V., Ergodicheskaya teoriya, Nauka, M., 1980 | MR

[19] Danford N., Shvarts Dzh. T., Lineinye operatory. Spektralnaya teoriya, Mir, M., 1966

[20] Borg G., “On the point spectra of $y''+(\lambda-q(x))y=0$”, Am. J. Math., 73 (1951), 122–126 | DOI | MR | Zbl

[21] Eastham M. S. P., Kalf H., Schrödinger-type operators with continuous spectra, Research Notes in Mathematics, 65, Pitman Advanced Publishing Program, Boston, Mass., 1982 | MR | Zbl