Mathematical Physics (PMT)

Section Information

Mathematical Physics focuses on the rigorous mathematical formulation and analysis of physical theories. The field develops and applies advanced mathematical structures to describe fundamental laws of nature, bridging pure mathematics and theoretical physics.

Current research includes quantum field theory, general relativity, statistical mechanics, integrable systems, dynamical systems, and geometric methods in physics. Advances in operator theory, differential geometry, topology, and algebraic structures are deepening the understanding of physical phenomena.

This section publishes theoretical studies, formal proofs, analytical investigations, and review articles that contribute to the mathematical foundations of physical theories.

Scope

Quantum Mechanics and Quantum Field Theory

• Operator algebras and Hilbert space methods
• Renormalization and field quantization
• Quantum symmetries and gauge theories
• Mathematical aspects of quantum dynamics

General Relativity and Geometric Methods

• Differential geometry in physics
• Einstein field equations and exact solutions
• Gravitational waves and spacetime structure
• Geometric analysis of field theories

Statistical Mechanics and Thermodynamics

• Equilibrium and non-equilibrium systems
• Phase transitions and critical phenomena
• Large deviation theory
• Mathematical foundations of entropy

Dynamical Systems and Integrable Models

• Hamiltonian and Lagrangian systems
• Chaos and nonlinear dynamics
• Integrable equations and soliton theory
• Stability and bifurcation analysis

Topology and Algebra in Physics

• Topological quantum field theory
• Group theory and representation theory
• Algebraic structures in particle physics
• Applications of category theory

Computational and Analytical Methods

• Spectral theory and functional analysis
• Perturbation methods
• Numerical methods for theoretical models
• Multiscale analytical techniques

Interdisciplinary Connections

• Mathematics of condensed matter systems
• Quantum information theory
• Mathematical biology models
• Applications in cosmology

Editorial Board

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Papers Published

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