Geodesic
Limiting density of states for quantum rotator model
Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 193-204 
I. A. Koshovets. Limiting density of states for quantum rotator model. Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 193-204. http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a3/
@article{TMF_1990_85_2_a3,
     author = {I. A. Koshovets},
     title = {Limiting density of~states for quantum rotator model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {193--204},
     year = {1990},
     volume = {85},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a3/}
}
TY  - JOUR
AU  - I. A. Koshovets
TI  - Limiting density of states for quantum rotator model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 193
EP  - 204
VL  - 85
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a3/
LA  - ru
ID  - TMF_1990_85_2_a3
ER  - 
%0 Journal Article
%A I. A. Koshovets
%T Limiting density of states for quantum rotator model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 193-204
%V 85
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a3/
%G ru
%F TMF_1990_85_2_a3

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

The concept of the limiting density of states is introduced for operators associated with a dynamical system, and some smoothness properties of the density are studied. The limiting density of states for the evolution operator of a quantum rotator is found explicitly.

[1] Casati G., Chirikov B. V., Ford J., Izraelev F. M., Lecture Notes in Phys., 92, 1977, 334–352 | MR

[2] Sinai Ya. G., Physica A, 164:1 (1990) | MR

[3] Figotin A. L., Pastur L. A., Selecta Math. Sov., 3:1 (1983/84), 69–86 | MR

[4] Benderskii M. M., Pastur L. A., Matem. sb., 82:2 (1970), 273–284 | MR | Zbl

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

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