Stefano Vignolo

Luca Fabbri

International Journal of Geometric Methods in Modern Physics

该杂志发表简短的交流、研究和评论文章，致力于几何方法的所有应用（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，特别包括：经典力学（拉格朗日、哈密顿、泊松公式）；量子力学（也是半经典近似）； ODE'S 和 PDE'S 的哈密顿系统和可积性；物理和守恒​​定律的变分结构；系统和连续体的热力学（也是量子热力学和统计物理学）；广义相对论和其他几何引力理论；粒子物理学的几何模型；超重力和超对称场论；经典和量子场论（也是弯曲背景上的量化）；量规理论；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。

The International Journal of Geometric Methods in Modern Physics publishes brief communications, research articles, and review papers dedicated to all applications of geometric methods. These applications encompass both commutative and non-commutative differential geometry, Riemannian geometry, Finsler geometry, complex geometry, Lie groups and Lie algebras, bundle theory, homology and cohomology, algebraic geometry, global analysis, category theory, operator algebras, and topology. The journal covers all areas of mathematics and theoretical physics, with particular emphasis on the following topics: classical mechanics (Lagrangian, Hamiltonian, and Poisson brackets); quantum mechanics (including semiclassical approximations); Hamiltonian systems and integrability of ordinary differential equations (ODEs) and partial differential equations (PDEs); variational structures of physics and conservation laws; thermodynamics of systems and continua (including quantum thermodynamics and statistical physics); general relativity and other geometric theories of gravity; geometric models in particle physics; supergravity and supersymmetric field theories; classical and quantum field theories (including quantization on curved backgrounds); gauge theories; topological field theories; string, membrane, and extended object theories; holography; quantum gravity, loop quantum gravity, and quantum cosmology; applications of quantum groups; quantum computing; control theory; and chaotic geometry.

《International Journal of Geometric Methods in Modern Physics》发表简短的交流、研究和评论文章，专注于几何方法的各种应用。这些应用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、算子代数和拓扑等。在数学和理论物理的各个领域，特别关注以下主题：经典力学（拉格朗日、哈密顿、泊松公式）；量子力学（包括半经典近似）；常微分方程（ODE）和偏微分方程（PDE）的哈密顿系统和可积性；物理和守恒定律的变分结构；系统和连续体的热力学（包括量子热力学和统计物理学）；广义相对论及其他几何引力理论；粒子物理学的几何模型；超重力和超对称场论；经典和量子场论（包括在弯曲背景上的量化）；量规理论；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。

Category	Quartile
物理与天体物理	3
物理与天体物理, 物理数学物理	4

On the Lie derivative of an affine connection and its geometrical meaning

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Journal Info

Category	Quartile
PHYSICS, MATHEMATICAL	2