SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Annals of Physics

Volumn 111, Issue 1, 1978, Pages 61-110

Deformation theory and quantization. I. Deformations of symplectic structures

(5) Bayen, F a Flato, M b Fronsdal, C b Lichnerowicz, A c Sternheimer, D c

a SORBONNE UNIVERSITÉ (France)

b UNIVERSITY OF CALIFORNIA (United States)

c l'alimentation et l'Environnement (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33744769996 PISSN: 00034916 EISSN: 1096035X Source Type: Journal
DOI: 10.1016/0003-4916(78)90224-5 Document Type: Article

Times cited : (1342)

References (34)

1
- 33745014742
- (1932) Phys. Rev. , vol.40 , pp. 749
- Wigner¹

2
- 0004243465
- Hirzel-Verlag, Leipzig
- (1928) Gruppentheorie und Quantenmechanik
- Weyl¹

3
- 0009525360
- (1927) Z. Phys. , vol.46 , pp. 1
- Weyl¹

4
- 0001031543
- (1970) Phys. Rev. D , vol.2 , pp. 2161
- Agarwal¹ Wolf²

5
- 0039756794
- The Weyl transform of distributions
- (1976) Journal of Mathematical Physics , vol.17 , pp. 859
- Chi Liu¹

6
- 84952911698
- Quantum mechanics as a statistical theory
- See also
- (1949) Mathematical Proceedings of the Cambridge Philosophical Society , vol.45 , pp. 99
- Moyal¹

7
- 5544222460
- (1975) Ann. Phys. (N.Y.) , vol.95 , pp. 455
- Remler¹

8
- 0009221732
- (1974) C. R. Acad. Sci. Paris Ser. A , vol.279 , pp. 877
- Flato¹ Lichnerowicz² Sternheimer³

9
- 0002022378
- (1975) Compositio Math. , vol.31 , pp. 47
- Flato¹ Lichnerowicz² Sternheimer³

10
- 36749117542
- Deformations of Poisson brackets, Dirac brackets and applications
- (1976) Journal of Mathematical Physics , vol.17 , pp. 1754
- Flato¹ Lichnerowicz² Sternheimer³

11
- 0002442975
- On the Deformation of Rings and Algebras
- (1964) The Annals of Mathematics , vol.79 , pp. 59
- Gerstenhaber¹

12
- 51249189461
- Comment
- (1975) Math. Helvet. , vol.50 , pp. 421
- Vey¹

13
- 0040942760
- (1976) C. R. Acad. Sci. Paris Ser. A , vol.283 , pp. 19
- Flato¹ Lichnerowicz² Sternheimer³

14
- 34948832288
- Deformation theory and quantization. II. Physical applications
- (1978) Ann. Phys. (N.Y.) , vol.111 , pp. 111
- Bayen¹ Flato² Fronsdal³ Lichnerowicz⁴ Sternheimer⁵

15
- 0001031484
- (1955) Indag. Math. , vol.17 , pp. 390
- Nijenhuis¹

16
- 84916325898
- A. Lichnerowicz, Les Variétés de Poisson et leurs Algèbres de Lie associées, J. Differential Geometry, to appear.

17
- 84914880765
- (1972) C. R. Acad. Sci. Paris Ser. A , vol.275 , pp. 113
- Avez¹ Lichnerowicz²

18
- 84972508726
- (1974) J. Differential Geometry , vol.9 , pp. 1
- Avez¹ Lichnerowicz² Diaz-Miranda³

19
- 0007187703
- (1977) Lett. Math. Phys. , vol.1 , pp. 521
- Bayen¹ Flato² Fronsdal³ Lichnerowicz⁴ Sternheimer⁵

20
- 0003425766
- Lectures on Quantum Mechanics
- Yeshiva Univ, New York
- (1964) Belfer Graduate School of Sciences Monograph Series No. 2
- Dirac¹

21
- 0000877602
- (1976) C. R. Acad. Sci. Paris Ser. A , vol.280 , pp. 523
- Lichnerowicz¹

22
- 0010846463
- Construction of twisted products for cotangent bundles of classical groups and Stiefel manifolds
- (1977) Letters in Mathematical Physics , vol.2 , Issue.2
- Lichnerowicz¹

23
- 0003570488
- This map was introduced by, Dunod, Paris
- (1970) Structures des Systèmes Dynamiques
- Souriau¹

24
- 0004163773
- For information about enveloping algebras, see, Gauthier-Villars, Paris
- (1974) Algèbres Enveloppantes
- Dixmier¹

25
- 84916365642
- ∗-products for semisimple algebras that have been calculated so far, K turned out to be a multiple of the Killing form.

26
- 36749111810
- Quantization from the algebraic viewpoint
- See also
- (1976) Journal of Mathematical Physics , vol.17 , pp. 1363
- Abellanas¹ Martinez-Alonso²

27
- 0001487798
- −1 gives the Weyl quantization rule. Other bijections, defined with different vector space bases of U(A), correspond to different orderings [3] (standard, normal, etc.). This is one of the motivations for the restriction made from the next subsection onward to projections defined by characters of the center of the Poisson Lie algebra P.
- (1972) Bull. Soc. Math. France , vol.100 , pp. 301
- Vergne¹

28
- 84916348129
- ∗-products that are not regular; they are related to finite-dimensional representations of the algebra and are of interest on compact symplectic manifolds.

29
- 25144519453
- Hermann, Paris, Chap. II, Sect. 1, No. 13, 3rd ed., 1962 or new edition
- (1970) Algèbre
- Bourbaki¹

30
- 84916369216
- n.

31
- 84916319008
- (1953) Amer. Math. Soc. Transl. , vol.97
- Dynkin¹

32
- 5644233953
- See also
- (1950) Uspehi Mat. Nauk (N.S.) , vol.5 , Issue.35 , pp. 135
- Dynkin¹

33
- 0004293970
- Interscience, New York
- (1962) Lie Algebras
- Jacobson¹

34
- 0004215075
- (1966) The Structure of Lie Groups
- Hochschild¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.