Lagrangian Reductions and Integrable Systems in Condensed Matter

被引：6

作者：

Gay-Balmaz, Francois ^{[1
]}

Monastyrsky, Michael ^{[2
]}

Ratiu, Tudor S. ^{[3
,4
]}

机构：

[1] Ecole Normale Super, CNRS, Meteorol Dynam Lab, Paris, France

[2] Inst Theoret & Expt Phys, Moscow 117259, Russia

[3] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland

[4] Ecole Polytech Fed Lausanne, Bernoulli Ctr, CH-1015 Lausanne, Switzerland

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2015年 / 335卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

SUPERFLUID HE-3; SEMIDIRECT PRODUCTS; POINCARE EQUATIONS; PHASES;

D O I：

10.1007/s00220-015-2317-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a general approach for the process of Lagrangian and Hamiltonian reduction by symmetries in chiral gauge models. This approach is used to show the complete integrability of several one dimensional texture equations arising in liquid Helium phases and neutron stars.

引用

页码：609 / 636

页数：28

共 50 条

[21] Measuring Entanglement in Condensed Matter Systems
Cramer, M.
Plenio, M. B.
Wunderlich, H.
PHYSICAL REVIEW LETTERS, 2011, 106 (02)
[22] Quantum entanglement in condensed matter systems
Laflorencie, Nicolas
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2016, 646 : 1 - 59
[23] Correlation spectroscopy of condensed matter systems
Schumann, FO
Kirschner, J
Kouzakov, KA
Berakdar, J
IONIZATION, CORRELATION, AND POLARIZATION IN ATOMIC COLLISIONS, 2006, 811 : 197 - +
[24] Formal recursion operators of integrable nonevolutionary equations and Lagrangian systems
Caparros Quintero, Agustin
Hernandez Heredero, Rafael
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (38)
[25] Poisson Reductions of Master Integrable Systems on Doubles of Compact Lie Groups
Feher, L.
ANNALES HENRI POINCARE, 2023, 24 (06): : 1823 - 1876
[26] Poisson Reductions of Master Integrable Systems on Doubles of Compact Lie Groups
L. Fehér
Annales Henri Poincaré, 2023, 24 : 1823 - 1876
[27] Searches for light dark matter using condensed matter systems
Kahn, Yonatan
Lin, Tongyan
REPORTS ON PROGRESS IN PHYSICS, 2022, 85 (06)
[28] Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems
Damianou, P. A.
Evripidou, C. A.
Kassotakis, P.
Vanhaecke, P.
JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (03)
[29] LÖwner evolution and finite-dimensional reductions of integrable systems
M. V. Pavlov
D. V. Prokhorov
A. Yu. Vasil’ev
A. M. Zakharov
Theoretical and Mathematical Physics, 2014, 181 : 1263 - 1278
[30] INTEGRABLE REDUCTIONS OF THE DRESSING CHAIN
Evripidou, Charalampos
Kassotakis, Pavlos
Vanhaecke, Pol
JOURNAL OF COMPUTATIONAL DYNAMICS, 2019, 6 (02): : 277 - 306

← 1 2 3 4 5 →