Classical and quantum dynamics on Lie groups and coset spaces

被引：0

作者：

Marinov, MS ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel

来源：

GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2 | 1997年

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Kahler manifolds homogeneous under the action of compact Lie groups are constructed and employed as phase spaces of dynamical systems. The corresponding Lie algebra is realized in terms of the Poisson brackets and first-order differential operators, respectively, for classical and quantal dynamics.

引用

页码：378 / 382

页数：5

共 50 条

[21] Two questions on coset spaces of semitopological groups
Li, Piyu
Mou, Lei
Shen, Rongxin
Xu, Yanqin
TOPOLOGY AND ITS APPLICATIONS, 2023, 338
[22] Classical and quantum dynamics of noncanonically coupled oscillators, and Lie superalgebras
Juriev, DV
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 1997, 5 (04) : 437 - 446
[23] TOPOLOGICAL DYNAMICS IN COSET TRANSFORMATION GROUPS
KEYNES, HB
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 72 (06) : 1033 - &
[24] Random stochastic matrices from classical compact Lie groups and symmetric spaces
Oliveira, Lucas H.
Novaes, Marcel
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (12)
[25] Faithful actions of locally compact quantum groups on classical spaces
Goswami, Debashish
Roy, Sutanu
LETTERS IN MATHEMATICAL PHYSICS, 2017, 107 (07) : 1375 - 1390
[26] Faithful actions of locally compact quantum groups on classical spaces
Debashish Goswami
Sutanu Roy
Letters in Mathematical Physics, 2017, 107 : 1375 - 1390
[27] Quantum stochastic calculus applied to path spaces over lie groups
Privault, N
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON STOCHASTIC ANALYSIS AND APPLICATIONS, 2004, : 85 - 94
[28] INTERPOLATION SPACES ON LIE GROUPS
PESENSON, IZ
DOKLADY AKADEMII NAUK SSSR, 1979, 246 (06): : 1298 - 1303
[29] POISSON SPACES OF LIE GROUPS
AZENCOTT, R
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 268 (03): : 139 - &
[30] Convolutions on compact groups and Fourier algebras of coset spaces
Forrest, Brian E.
Samei, Ebrahim
Spronk, Nico
STUDIA MATHEMATICA, 2010, 196 (03) : 223 - 249

← 1 2 3 4 5 →