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

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:

$(\;http://www.physics.orst.edu/~rubin/nacphy/ComPhys/classical/anharm/\;).$

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