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