Close Turning Points and the Harper Operator
Matematičeskie zametki, Tome 113 (2023) no. 5, pp. 785-790.

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

Keywords: Harper operator, close turning points, complex WKB method, geometry of the spectrum.
@article{MZM_2023_113_5_a14,
     author = {A. A. Fedotov},
     title = {Close {Turning} {Points} and the {Harper} {Operator}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {785--790},
     publisher = {mathdoc},
     volume = {113},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2023_113_5_a14/}
}
TY  - JOUR
AU  - A. A. Fedotov
TI  - Close Turning Points and the Harper Operator
JO  - Matematičeskie zametki
PY  - 2023
SP  - 785
EP  - 790
VL  - 113
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2023_113_5_a14/
LA  - ru
ID  - MZM_2023_113_5_a14
ER  - 
%0 Journal Article
%A A. A. Fedotov
%T Close Turning Points and the Harper Operator
%J Matematičeskie zametki
%D 2023
%P 785-790
%V 113
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2023_113_5_a14/
%G ru
%F MZM_2023_113_5_a14
A. A. Fedotov. Close Turning Points and the Harper Operator. Matematičeskie zametki, Tome 113 (2023) no. 5, pp. 785-790. http://geodesic.mathdoc.fr/item/MZM_2023_113_5_a14/

[1] M. Wilkinson, J. Phys. A, 20:13 (1987), 4337–4354 | DOI | MR

[2] B. Helffer, J. Sjöstrand, Mem. Soc. Math. France (N.S.), 34 (1988), 1–113 | MR

[3] A. Avila, S. Jitomirskaya, Ann. of Math. (2), 170:1 (2009), 303–342 | DOI | MR

[4] M. Wilkinson, Proc. Roy. Soc. London Ser. A, 391:1801 (1984), 305–350 | MR

[5] A. A. Fedotov, Algebra i analiz, 25:2 (2013), 203–235 | MR | Zbl

[6] J. P. Guillement, B. Helffer, P. Treton, J. de Phys., 50 (1989), 2019–2058 | DOI

[7] B. Helffer, J. Sjöstrand, Mem. Soc. Math. France (N.S.), 39 (1989), 1–125

[8] M. V. Fedoryuk, Asimptoticheskie metody dlya lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, M., 1983 | MR

[9] A. Yu. Anikin, S. Yu. Dobrokhotov, A. V. Tsvetkova, TMF, 204:2 (2020), 171–180 | DOI | MR

[10] A. A. Fedotov, Russ. J. Math. Phys., 29:4 (2022), 467–493 | DOI | MR

[11] D. I. Borisov, A. A. Fedotov, Funkts. analiz i ego pril., 56:4 (2022), 3–16 | DOI

[12] V. Buslaev, A. Fedotov, Adv. Theor. Math. Phys., 5:6 (2001), 1105–1168 | DOI | MR

[13] V. S. Buslaev, A. A. Fedotov, Algebra i analiz, 7:4 (1995), 74–122 | MR | Zbl

[14] V. S. Buslaev, A. A. Fedotov, Algebra i analiz, 6:3 (1994), 59–83 | MR | Zbl

[15] A. A. Fedotov, E. V. Schetka, Algebra i analiz, 29:2 (2017), 193–219

[16] A. Fedotov, F. Klopp, Asymptot. Anal., 39:3–4 (2004), 309–357 | MR

[17] A. A. Fedotov, E. V. Schetka, Matem. zametki, 104:6 (2018), 948–952 | DOI | MR

[18] A. Fedotov and F. Klopp, Comm. Math. Phys., 227:1 (2002), 1–92 | DOI | MR

[19] A. A. Fedotov, E. V. Schetka, Matem. zametki, 107:6 (2020), 948–953 | DOI | MR

[20] A. Fedotov, E. Shchetka, Appl. Anal., 101:1 (2022), 274–296 | DOI | MR