# PlanetPhysics/Topic on Applied Mathematical Physics and Physical Mathematics

This is a new, contributed topic entry on subfields and topics of mathematical physics and applied mathematics.

### Topics in applied mathematical physics and physical mathematics

* Non-equilibrium Thermodynamics and statistical mechanics #Computational Physics #molecular dynamics experiments (MDE) or computer simulations #plasma wave non-linear excitation
* Maxwell's equations for Relativistic electron pulses
* Theoretical geophysics and physico-mathematical models in geophysics
* Astrophysics, cosmology, geometrodynamics and general relativity theories
* quantum gravity #quantum logics, including LM-logic algebras
* quantum state spaces, quantum operators, superoperators, observables, eigenstates
* Hamiltonians and other Hermitian operators #Algebraic quantum field theory (AQFT)
* Quantum Algebraic Topology (QAT)
* quantum operator algebra (QOA) in quantum field theories and quantum gravity
* quantum groups, Hopf algebras, quantum supergroups and superalgebras #topological quantum field theories (TQFT)
* homotopy quantum field theories (HQFT)
* non-Abelian physics
* non-Newtonian physics or non-Newtonian behavior; examples are
non-Newtonian flows in rheology, such as plastic flows, pseudo-plastic flows and dilatant flows; Special Relativity and Quantum theories can also be considered as examples of non-Newtonian fields of Physics, whereas molecular dynamics experiments or simulations that are based on Netwon's laws of motion, or Newton's Principia, are obviously Newtonian computations; Leibnitz's infinitesimal calculus approach to analysis can be thus also considered as a non-Newtonian analytical calculus.
* non-Newtonian calculi #unified field theories in physics, supersymmetry and spontaneous symmetry breaking #CPT symmetry and parity violation
* Quantum chromodynamics (QCD): quarks, parton distributions, nuclear spin structures and theories of Nuclear Fusion (NF)
* Elementary particle theories and Higgs bosons
* quantum geometry and non-commutative geometry applications to SUSY model in physics
* Harmonic and anharmonic analysis of quantum systems
* Bibliography for mathematical physics and quantum algebraic topology
* Geometry and group theory applications to mathematical crystallography
* spinors and spin groups: spin networks, spin foams, vectors, matrices, tensors and twistors
* Complex systems structure (CSS) and dynamics (CSD)
* solitons and semi-classical systems
* Systems with Chaos
* Topological dynamics
* Biotopology and topology applications in biology, non-random Networks: cellular, neural and genetic
* fluid dynamics, including aerodynamic and vorticity field models with applications in Aeronautics,
rocketry and space exploration (NASA, etc.)
* superfluids and superconductivity: low- and high- temperature mechanisms
* Non-crystalline systems, paracrystals and glasses #categorical physics and categories/ in biology
* Categorical dynamics and biodynamics
* Physical vs. mathematical probability
* Applied statistical mechanics
* Numerical analysis and measurement theory in physics
* Biostatistics
* Bibliography for statistical mechanics
* Bibliography for mathematical physics and quantum algebraic topology
* Computational physics and astrophysics
* computer models and automata theory in biology and medicine
* Mathematical medicine and epidemiological models
* quantum automata and quantum computers #quantum nanoautomata and nanorobots #Mathematics in natural/life sciences
* mathematical biology and theoretical biophysics #Mathematical biophysics
* bibliography for mathematical biophysics #Mathematics of finance and market predictions
* Mathematical and mathematical physics applications to population genetics
* Quantum genetics and bioinformatics
* Mathematics and mathematical physics applications in electrical engineering and bioengineering
* mathematical physics and physical mathematics models applications in geophysics and ecology
* Mathematical physics and physical mathematics models in energy science and engineering, alternative energy mathematical models and theories