Talk:PlanetPhysics/Topic on Applied Mathematical Physics and Physical Mathematics

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

\subsection{Topics in applied mathematical physics and physical mathematics}

\begin{enumerate} \item Non-equilibrium \htmladdnormallink{Thermodynamics}{http://planetphysics.us/encyclopedia/Thermodynamics.html} and \htmladdnormallink{statistical mechanics}{http://planetphysics.us/encyclopedia/ThermodynamicLaws.html} \item \htmladdnormallink{Computational Physics}{http://planetphysics.us/encyclopedia/LQG2.html} \item \htmladdnormallink{molecular dynamics experiments}{http://planetphysics.us/encyclopedia/CurrentDensityInPlasma.html} (MDE) or \htmladdnormallink{computer simulations}{http://planetphysics.us/encyclopedia/AAT.html} \item \htmladdnormallink{plasma}{http://planetphysics.us/encyclopedia/PlasmaDisplayPanel.html} \htmladdnormallink{wave}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html} non-linear excitation \item \htmladdnormallink{Maxwell's equations}{http://planetphysics.us/encyclopedia/FluorescenceCrossCorrelationSpectroscopy.html} for Relativistic \htmladdnormallink{electron pulses}{http://planetphysics.us/encyclopedia/CurrentDensityInPlasma.html} \item Theoretical geophysics and physico-mathematical models in geophysics \item Astrophysics, cosmology, geometrodynamics and \htmladdnormallink{general relativity}{http://planetphysics.us/encyclopedia/SR.html} theories \item \htmladdnormallink{quantum gravity}{http://planetphysics.us/encyclopedia/LQG2.html} \item \htmladdnormallink{quantum logics}{http://planetphysics.us/encyclopedia/LQG2.html}, including LM-logic algebras \item \htmladdnormallink{quantum state spaces}{http://planetphysics.us/encyclopedia/QuantumSpinNetworkFunctor2.html}, \htmladdnormallink{quantum operators}{http://planetphysics.us/encyclopedia/QuantumOperatorAlgebra5.html}, superoperators, \htmladdnormallink{observables}{http://planetphysics.us/encyclopedia/QuantumSpinNetworkFunctor2.html}, eigenstates \item \htmladdnormallink{Hamiltonians}{http://planetphysics.us/encyclopedia/Hamiltonian2.html} and other Hermitian \htmladdnormallink{operators}{http://planetphysics.us/encyclopedia/QuantumOperatorAlgebra4.html} \item \htmladdnormallink{Algebraic quantum field theory (AQFT)}{http://planetphysics.us/encyclopedia/AlgebraicQuantumFieldTheoriesAQFT.html} \item \htmladdnormallink{Quantum Algebraic Topology}{http://planetphysics.us/encyclopedia/TriangulationMethodsForQuantizedSpacetimes2.html} (QAT) \item \htmladdnormallink{quantum operator algebra}{http://planetphysics.us/encyclopedia/QuantumOperatorAlgebra5.html} (QOA) in \htmladdnormallink{quantum field theories}{http://planetphysics.us/encyclopedia/SpaceTimeQuantizationInQuantumGravityTheories.html} and quantum gravity \item \htmladdnormallink{quantum groups}{http://planetphysics.us/encyclopedia/QuantumGroup4.html}, \htmladdnormallink{Hopf algebras}{http://planetphysics.us/encyclopedia/QuantumGroup4.html}, quantum \htmladdnormallink{supergroups}{http://planetphysics.us/encyclopedia/NewtonianMechanics.html} and \htmladdnormallink{superalgebras}{http://planetphysics.us/encyclopedia/NewtonianMechanics.html} \item \htmladdnormallink{topological}{http://planetphysics.us/encyclopedia/CoIntersections.html} quantum field theories (TQFT) \item \htmladdnormallink{homotopy}{http://planetphysics.us/encyclopedia/ThinEquivalence.html} quantum field theories (HQFT) \item \htmladdnormallink{non-Abelian}{http://planetphysics.us/encyclopedia/AbelianCategory3.html} physics \item 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 \htmladdnormallink{fields}{http://planetphysics.us/encyclopedia/CosmologicalConstant2.html} of Physics, whereas \htmladdnormallink{molecular dynamics experiments}{http://planetphysics.us/encyclopedia/PlasmaWaveExcitation.html} or simulations that are based on \htmladdnormallink{Netwon's laws}{http://planetphysics.us/encyclopedia/PrincipleOfCorrespondingStates.html} of \htmladdnormallink{motion}{http://planetphysics.us/encyclopedia/CosmologicalConstant2.html}, or \htmladdnormallink{Newton's Principia}{http://planetphysics.org/?op=getobj&from=books&id=177}, are obviously Newtonian \htmladdnormallink{computations}{http://planetphysics.us/encyclopedia/LQG2.html}; Leibnitz's infinitesimal calculus approach to analysis can be thus also considered as a non-Newtonian analytical calculus. \item \htmladdnormallink{non-Newtonian calculi}{http://planetphysics.us/encyclopedia/BibliographyForNonNewtonianCalculus.html} \item \htmladdnormallink{unified field theories}{http://planetphysics.us/encyclopedia/QAT.html} in physics, \htmladdnormallink{supersymmetry}{http://planetphysics.us/encyclopedia/Supersymmetry.html} and \htmladdnormallink{spontaneous symmetry breaking}{http://planetphysics.us/encyclopedia/LongRangeCoupling.html} \item CPT symmetry and \htmladdnormallink{parity}{http://planetphysics.us/encyclopedia/ExamplesOfConstantsOfTheMotion.html} violation \item Quantum chromodynamics (\htmladdnormallink{QCD}{http://planetphysics.us/encyclopedia/LQG2.html}): \htmladdnormallink{quarks}{http://planetphysics.us/encyclopedia/ExtendedQuantumSymmetries.html}, \htmladdnormallink{parton}{http://planetphysics.us/encyclopedia/QuarkAntiquarkPair.html} distributions, nuclear \htmladdnormallink{spin}{http://planetphysics.us/encyclopedia/QuarkAntiquarkPair.html} structures and theories of Nuclear Fusion (NF) \item Elementary \htmladdnormallink{particle}{http://planetphysics.us/encyclopedia/Particle.html} theories and \htmladdnormallink{Higgs bosons}{http://planetphysics.us/encyclopedia/Neutralinos.html} \item \htmladdnormallink{quantum geometry}{http://planetphysics.us/encyclopedia/NAQAT2.html} and non-commutative geometry applications to \htmladdnormallink{SUSY}{http://planetphysics.us/encyclopedia/SUSY2.html} model in physics \item Harmonic and \htmladdnormallink{anharmonic analysis of quantum systems}{http://www.physics.orst.edu/~rubin/nacphy/ComPhys/classical/anharm/} \item Bibliography for mathematical physics and quantum algebraic topology \item Geometry and \htmladdnormallink{group}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html} theory applications to mathematical crystallography \item \htmladdnormallink{spinors}{http://planetphysics.us/encyclopedia/ECartan.html} and \htmladdnormallink{spin groups}{http://planetphysics.us/encyclopedia/Spin4.html}: \htmladdnormallink{spin networks}{http://planetphysics.us/encyclopedia/SimplicialCWComplex.html}, \htmladdnormallink{spin foams}{http://planetphysics.us/encyclopedia/SimplicialCWComplex.html}, \htmladdnormallink{vectors}{http://planetphysics.us/encyclopedia/Vectors.html}, \htmladdnormallink{matrices}{http://planetphysics.us/encyclopedia/Matrix.html}, \htmladdnormallink{tensors}{http://planetphysics.us/encyclopedia/Tensor.html} and twistors \item Complex \htmladdnormallink{systems}{http://planetphysics.us/encyclopedia/SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence.html} structure (CSS) and \htmladdnormallink{dynamics}{http://planetphysics.us/encyclopedia/NewtonianMechanics.html} (CSD) \item \htmladdnormallink{solitons}{http://planetphysics.us/encyclopedia/Soliton.html} and semi-classical systems \item Systems with Chaos \item Topological dynamics \item Biotopology and topology applications in biology, non-random Networks: cellular, neural and genetic \item \htmladdnormallink{fluid dynamics}{http://planetphysics.us/encyclopedia/LQG2.html}, including aerodynamic and vorticity field models with applications in Aeronautics, rocketry and space exploration (NASA, etc.) \item \htmladdnormallink{superfluids}{http://planetphysics.us/encyclopedia/LQG2.html} and \htmladdnormallink{superconductivity}{http://planetphysics.us/encyclopedia/LongRangeCoupling.html}: low- and high- \htmladdnormallink{temperature}{http://planetphysics.us/encyclopedia/BoltzmannConstant.html} mechanisms \item Non-crystalline systems, paracrystals and \htmladdnormallink{glasses}{http://planetphysics.us/encyclopedia/LongRangeCoupling.html} \item \htmladdnormallink{categorical physics}{http://planetphysics.us/encyclopedia/CategoricalPhysics2.html} and \htmladdnormallink{categories/}{http://planetphysics.us/encyclopedia/Cod.html} in biology \item Categorical dynamics and biodynamics \item Physical vs. mathematical probability \item Applied statistical mechanics \item Numerical analysis and measurement theory in physics \item Biostatistics \item Bibliography for statistical mechanics \item Bibliography for mathematical physics and quantum algebraic topology \item Computational physics and astrophysics \item \htmladdnormallink{computer}{http://planetphysics.us/encyclopedia/Program3.html} models and \htmladdnormallink{automata theory}{http://planetphysics.us/encyclopedia/LQG2.html} in biology and medicine \item Mathematical medicine and epidemiological models \item \htmladdnormallink{quantum automata}{http://planetphysics.us/encyclopedia/QuantumComputers.html} and \htmladdnormallink{quantum computers}{http://planetphysics.us/encyclopedia/LongRangeCoupling.html} \item quantum nanoautomata and \htmladdnormallink{nanorobots}{http://planetphysics.us/encyclopedia/QuantumNanoautomaton.html} \item Mathematics in natural/life sciences \item \htmladdnormallink{mathematical biology and theoretical biophysics}{http://planetphysics.us/encyclopedia/TheoreticalBiophysics.html} \item Mathematical biophysics \item \htmladdnormallink{bibliography for mathematical biophysics}{http://planetphysics.us/encyclopedia/BibliographyForMathematicalBiophysics.html} \item Mathematics of finance and market predictions \item Mathematical and mathematical physics applications to population genetics \item Quantum genetics and bioinformatics \item Mathematics and mathematical physics applications in electrical engineering and bioengineering \item \htmladdnormallink{mathematical physics and physical mathematics}{http://planetphysics.us/encyclopedia/QAT.html} models applications in geophysics and ecology \item Mathematical physics and physical mathematics models in \htmladdnormallink{energy}{http://planetphysics.us/encyclopedia/CosmologicalConstant2.html} science and engineering, alternative energy mathematical models and theories \end{enumerate}

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