Geodesic
On the Discreteness of the Spectrum of the Magnetic Schr\"odinger Operator
Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 4, pp. 83-85.

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

We establish sufficient conditions for the discreteness of the spectrum of the magnetic Schrödinger operator in terms of the Lebesgue measure.
Keywords: magnetic Schrödinger operator, quantum mechanics, self-adjoint operator, discrete spectrum
Mots-clés : Lebesgue measure. 
@article{FAA_2012_46_4_a5,
     author = {A. R. Aliev and E. Kh. Eivazov},
     title = {On the {Discreteness} of the {Spectrum} of the {Magnetic} {Schr\"odinger} {Operator}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {83--85},
     publisher = {mathdoc},
     volume = {46},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2012_46_4_a5/}
}
TY  - JOUR
AU  - A. R. Aliev
AU  - E. Kh. Eivazov
TI  - On the Discreteness of the Spectrum of the Magnetic Schr\"odinger Operator
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2012
SP  - 83
EP  - 85
VL  - 46
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2012_46_4_a5/
LA  - ru
ID  - FAA_2012_46_4_a5
ER  - 
%0 Journal Article
%A A. R. Aliev
%A E. Kh. Eivazov
%T On the Discreteness of the Spectrum of the Magnetic Schr\"odinger Operator
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2012
%P 83-85
%V 46
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2012_46_4_a5/
%G ru
%F FAA_2012_46_4_a5
A. R. Aliev; E. Kh. Eivazov. On the Discreteness of the Spectrum of the Magnetic Schr\"odinger Operator. Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 4, pp. 83-85. http://geodesic.mathdoc.fr/item/FAA_2012_46_4_a5/

[1] H. Leinfelder, C. G. Simader, Math. Z., 176:1 (1981), 1–19 | DOI | MR | Zbl

[2] V. Kondratiev, V. Mazżya, M. Shubin, Comm. Partial Differential Equations, 29:3–4 (2004), 489–521 | MR | Zbl

[3] V. Kondratiev, V. Mazżya, M. Shubin, Comm. Partial Differential Equations, 34:10 (2009), 1127–1146 | DOI | MR | Zbl

[4] B. Simon, Methods Funct. Anal. Topology, 15:1 (2009), 61–66 | MR | Zbl

[5] B. Simon, Functional Integration and Quantum Physics, Academic Press, New York–London, 1979 | MR | Zbl

[6] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz, Nauka, M., 1977 | MR | Zbl

[7] W. Arendt, A. V. Bukhvalov, Forum Math., 6:1 (1994), 111–135 | MR | Zbl

[8] M. Rid, B. Saimon, Metody sovremennoi matematicheskoi fiziki, t. 1, Funktsionalnyi analiz, Mir, M., 1977 | MR

[9] M. Rid, B. Saimon, Metody sovremennoi matematicheskoi fiziki, t. 2, Garmonicheskii analiz. Samosopryazhennost, Mir, M., 1978 | MR