topic on applied mathematical physics and physical mathematics
TopicOnAppliedMathematicalPhysicsAndPhysicalMathematics
2009-05-11 12:10:47
2009-06-08 08:50:36
Topic
physical mathematics
NNC
TQFT
HQFT
CPT
QOA
QAT
CSS
CSD
NF
non Newtonian
non-Newtonian
mathematical physics
physical mathematics
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This is a new, contributed topic entry on subfields/topics of mathematical physics and applied mathematics.
\section{Topics in applied mathematical physics/physical mathematics}
\begin{enumerate}
\item Non-equilibrium thermodynamics and Statistical Mechanics
\item Computational Physics
\item Molecular dynamics experiments (MDE) or computer simulations
\item Plasma wave non-linear excitation
\item Maxwell's equations for Relativistic electron pulses
\item Theoretical geophysics and physico-mathematical models in geophysics
\item Astrophysics, cosmology, geometrodynamics and general relativity theories
\item Quantum gravity
\item Quantum logics, including LM-logic algebras
\item Quantum state spaces, quantum operators, superoperators, observables, eigenstates
\item Hamiltonians and other Hermitian operators
\item \PMlinkname{Algebraic quantum field theory (AQFT)}{AlgebraicQuantumFieldTheoriesAQFT}
\item Quantum algebraic topology (QAT)
\item Quantum operator algebra (QOA) in quantum field theories and quantum gravity
\item Quantum groups, Hopf algebras, quantum supergroups and superalgebras
\item Topological quantum field theories (TQFT)
\item Homotopy quantum field theories (HQFT)
\item Non-Abelian 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 fields of Physics, whereas molecular
dynamics experiments based on Newton's Laws / Principles are obviously Newtonian;
Leibnitz's infinitesimal calculus/approach to analysis can be thus also considered as a non-Newtonian analytical calculus.
\item \PMlinkname{non Newtonian calculus (NNC)}{http://planetphysics.org/?op=edit&from=objects&id=748}
\item Unified field theories in physics, supersymmetry and spontaneous symmetry breaking
\item CPT symmetry and Parity violation
\item Quantum chromodynamics (QCD): quarks, parton distributions, nuclear spin structures and theories of Nuclear Fusion (NF)
\item Elementary particle theories and Higgs bosons
\item Quantum geometry and non-commutative geometry applications to SUSY model in physics
\item Harmonic and \PMlinkexternal{anharmonic analysis of quantum systems}{http://www.physics.orst.edu/~rubin/nacphy/ComPhys/classical/anharm/}
\item \PMlinkname{Bibliography for mathematical physics and quantum algebraic topology}{BibliographyForMathematicalPhysicsFoundationsAxiomaticsAndCategories}
\item Geometry and group theory applications to mathematical crystallography
\item Spinors and spin groups: spin networks, spin foams, vectors, matrices, tensors and twistors
\item Complex systems structure (CSS) and dynamics (CSD)
\item Solitons 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 Fluid dynamics, including aerodynamic and vorticity field models with applications in Aeronautics,
rocketry and space exploration (NASA, etc.)
\item Superfluids and superconductivity: low- and high- temperature mechanisms
\item Non-crystalline systems, paracrystals and glasses
\item Categorical physics and categories/supercategories 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 Computer models and automata theory in biology and medicine
\item Mathematical medicine and epidemiological models
\item Quantum automata and quantum Computers
\item quantum nanoautomata and nanorobots
\item Mathematics in natural/life sciences
\item Mathematical biology and theoretical biophysics
\item Mathematical biophysics
\item Bibliography for mathematical biophysics
\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 Mathematical physics and physical mathematics models applications in geophysics and ecology
\item Mathematical physics and physical mathematics models in energy science and engineering, alternative energy mathematical models and theories
\end{enumerate}