Appendix X — Notation Index, Appendix Y — List of Acronyms, Bibliographic Notes
Appendix X Notation Index This appendix summarizes the principal mathematical symbols, operators, and abbreviations employed throughout the Social Quantum Field Theory (SQFT) Research Series. A. Mathematical Symbols Symbol Meaning F \mathcal{F} F Social field H \mathcal{H} H Hilbert space ρ \rho ρ Density operator H H H Hamiltonian L k L_k L k Lindblad operator ( \psi\rangle ) ( \langle\psi ) A ^ \hat{A} A ^ Observable U ( t ) U(t) U ( t ) Time-evolution operator ℏ \hbar ℏ Reduced Planck constant S S S Entropy Z Z Z Partition function Γ \Gamma Γ Configuration space G G G Symmetry group ∇ \nabla ∇ Covariant derivative ⊗ \otimes ⊗ Tensor product ⊕ \oplus ⊕ Direct sum [ A , B ] [A,B] [ A , B ] Commutator { A , B } \{A,B\} { A , B } Anticommutator B. Frequently Used Equations Schrödinger Equation i ℏ ∂ ∂ t ψ = H ψ i\hbar\frac{\partial}{\partial t}\psi=H\psi i ℏ ∂ t ∂ ψ = H ψ Heisenberg Equation d A H d t = i ℏ [ H , A H ] + ∂ A H ∂ t \frac{dA_H}{dt} = \frac{i}{\hbar}...