International Journal Of Geometric Methods In Modern Physics

This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics, including in particular: Classical Mechanics (Lagrangian, Hamiltonian, Poisson formulations); Quantum Mechanics (also semi-classical approximations); Hamiltonian Systems of ODE's and PDE's and Integrability; Variational Structures of Physics and Conservation Laws; Thermodynamics of Systems and Continua (also Quantum Thermodynamics and Statistical Physics); General Relativity and other Geometric Theories of Gravitation; geometric models for Particle Physics; Supergravity and Supersymmetric Field Theories; Classical and Quantum Field Theory (also quantization over curved backgrounds); Gauge Theories; Topological Field Theories; Strings, Branes and Extended Objects Theory; Holography; Quantum Gravity, Loop Quantum Gravity and Quantum Cosmology; applications of Quantum Groups; Quantum Computation; Control Theory; Geometry of Chaos.

本期刊发表简短的通讯、研究和评论文章，致力于几何方法（包括交换和非交换微分几何、黎曼几何、芬斯勒几何、复几何、李群和李代数、束理论、同调和上同调、代数几何、全局分析、范畴论、算子代数和拓扑）在数学和理论物理的所有领域的所有应用，特别是：经典力学（拉格朗日、哈密顿、泊松公式）；量子力学（也包括半经典近似）；常微分方程和偏微分方程的哈密顿系统和可积性；物理学的变分结构和守恒定律；系统和连续体的热力学（也包括量子热力学和统计物理学）；广义相对论和其他引力几何理论；粒子物理的几何模型；超引力和超对称场论；经典和量子场论（也包括弯曲背景的量化）；规范场论；拓扑场论；弦、膜和扩展对象理论；全息术；量子引力、圈量子引力和量子宇宙学；量子群的应用；量子计算；控制理论；混沌几何。

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