What does mean Mathematical Physics?

1. What does mean Mathematical Physics? TheJournal of Mathematical Physics defines the field as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories"

2. Classical PhysicsMechanics, Electrodynamics, Acoustics, Hydrodynamics, Thermodynamics, Aerodynamics, • Partial Differential Equation • Variational Methods • Fourier Analysis • Potential Theory • Vector and Matrix Analysis • Symplectic Geometry

3. Quantum Mechanics and Quantum Field Theory • Functional Analysis Operator Theory Hilbert Spaces • Partial Differential Equation • Lie Groups and Lie Algebras • Probability • Special Function and Polynomials • Complex Analysis • Representation Theory

4. Relativity and CosmologySpecial and General Relativity • Tensor Analysis • Differential Geometry • Topology

5. Statistical Mechanics • Probability • Ergodic Theory • Operator Algebra

6. Mathematical Physics and Theoretical Physics • Theoretical physics emphasizes the links to observations and Experimental Physics which often requires theoretical physicists (and mathematical physicists in the more general sense) to use heuristic,intuitive, and approximate arguments. Such arguments are not considered rigorous by mathematicians. Arguably, rigorous mathematical physics is closer to mathematics, and theoretical physics is closer to physics. This is reflected institutionally: mathematical physicists are often members of the mathematics department.

7. A Mathematical Physics Program Mathematics Courses Differential Geometry  Differential Topology Geometric Analysis Topology Lie Theory  Homological Algebra  Complex Geometry Modular Forms Algebra Infinite Dimensional Lie Groups Integrable Models Global Riemannian Geometry Kaehler Geometry Algebraic Geometry

8. Physics Courses • Quantum Field Theory String Theory Conformal Field Theory Supersymmetry and Unification General Relativity Phenomenology of Physics Beyond Standard Model

9. Thank You