Phys2910/3910 Advanced Physics A Nexus mindmap Week13 EM I 0 Week13 EM II 1 EM 7 Stationary trajectory 2 2 Functionals 0 0 3 3 Euler-Lagrange equation 4 4 Integration by parts 1 1 Week3 Calculus of variations 0 0 Week3 Calculus of Variations: Special Cases 1 1 1 1 Calculus of Variations 1 1 Week4 The Lagrangian 0 Week5 Using the Lagrangian 1 Week5 Lagrangian - Examples 2 Week6 Lagrangian - change of coordinates 3 Week6 Week7 Lagrangian - Examples 2 4 Week7 QED 5 The Lagrangian 2 Week12 Week13 Cannonical Transformations 0 Cannonical transformations 6 Newton's Laws 0 0 Energy 1 1 Conservation Laws 2 2 Week1 Introduction 0 0 Valid Dynamics 1 1 State space 4 4 Discrete set of states 0 0 Continuous states 2 2 Dimension 3 3 Week1 State Space 1 1 Function minimisation 0 0 Snell's Law 2 2 Taylor's theorem 1 1 Week2 Stationary Points 2 2 Introduction 0 0 Week7 Week8 Conservation Prelude 0 Symmetries 2 Trasformations 1 Cyclic coordinates 0 Noether's theorem 3 Examples 4 Week8 Conservation Laws 1 Week8 Tutorial 4 2 Week9 Conservation of Energy 3 Conservation laws 3 Week10 Hamilton's Equations 1 Week10 Legendre Transforms 0 Week11 Poisson Brackets 2 Week12 Phase Space 4 Week12 Liouville's Theorem 5 5 5 5 5 Week11 Poisson to commutator 3 Week12 Tutorial 6 6 Week13 SHO Revisited 7 Hamiltonian 5 Phys2910/3910 Advanced Physics