PlanetPhysics/Applications Topic on Mathematical Physics and Physical Mathematics

This is a contributed new topic on mathematical physics, physical mathematics, and their various applications in: engineering, industry, medical biophysics, cosmology, astrophysics, astronomy, computer science, computer engineering, robotics, AI, ecology, market prediction, etc.

Mathematical Physics and Physical Mathematics
$$(\; http://www.physics.orst.edu/~rubin/nacphy/ComPhys/classical/anharm/ \; ).$$
 * 1) Non-Equilibrium Thermodynamics and statistical mechanics #Theoretical Geophysics
 * 2) Astrophysics, Cosmology, Geometrodynamics and general relativity theories
 * 3) quantum gravity #quantum logics, including LM-logic algebras
 * 4) Quantum State Spaces, quantum operators, Superoperators, observables, Eigenstates
 * 5) Hamiltonians and other Hermitian operators #Algebraic Quantum Field Theory #Quantum Algebraic Topology (QAT)
 * 6) Quantum Operator Algebra (QOA) in quantum field theories and quantum gravity
 * 7) Quantum groups, Hopf algebras, Quantum supergroups and superalgebras #topological Quantum Field theories
 * 8) homotopy Quantum Field theories (HQFT)
 * 9) non-Abelian physics (NAP)
 * 10) Unified Field theories (UFT) in physics, supersymmetry and spontaneous symmetry breaking #CPT symmetry and parity Violation
 * 11) Quantum Chromodynamics, quarks, parton distributions, nuclear spin structures and theories of Nuclear Fusion
 * 12) Elementary particle theories and Higgs bosons
 * 13) Conformal Map theory (CMT)
 * 14) Quantum Geometry (QNG) and non-commutative geometry (NCG) applications to SUSY model in physics
 * 15) Harmonic and Anharmonic analysis of quantum systems:
 * 1) Bibliography for mathematical physics and quantum algebraic topology
 * 2) Geometry and Group theory applications to Mathematical Crystallography
 * 3) spinors and spin groups, spin networks, Foams, vectors, matrices, tensors and Twistors
 * 4) Complex Systems Structure and dynamics #solitons and semi-classical systems
 * 5) Systems with Chaos
 * 6) Topological Dynamics
 * 7) Biotopology and Topology applications in biology, Non-random Networks: cellular, neural and genetic
 * 8) fluid dynamics #superfluids and superconductivity: low- and high- temperature mechanisms
 * 9) Nob-crystalline systems, Paracrystals and glasses #categorical physics and categories/ in biology
 * 10) Categorical dynamics and Biodynamics
 * 11) Physical vs. Mathematical probability
 * 12) Applied Statistical Mechanics
 * 13) Numerical analysis and Measurement theory in physics
 * 14) Biostatistics
 * 15) Bibliography for statistical mechanics
 * 16) Bibliography for mathematical physics and quantum algebraic topology
 * 17) Computational Physics and astrophysics
 * 18) Computer models and automata theory in Biology and Medicine
 * 19) Mathematical Medicine and Epidemiological models
 * 20) quantum automata and quantum computers #Quantum Nanoautomata and nanorobots #Mathematics in natural/Life sciences
 * 21) mathematical biology and theoretical biophysics #Mathematical Biophysics
 * 22) bibliography for mathematical biophysics #Mathematics of Finance and Market predictions
 * 23) Mathematical and mathematical physics applications to Population Genetics
 * 24) Quantum Genetics and Bioinformatics
 * 25) Mathematics applications in Electrical Engineering and Bioengineering
 * 26) Mathematical Physics and Physical Mathematics models applications in Geophysics and Ecology
 * 27) Mathematical physics and physical mathematics models in energy Science and Engineering, Alternative Energy mathematical models and theories