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Hometopic on applied mathematical physics and physical mathematics

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# topic on applied mathematical physics and physical mathematics

This is a new topic entry on mathematical physics and applied mathematics.

# 1 Topic on applied mathematical physics/physical mathematics

1. Non-equilibrium thermodynamics and statistical mechanics

2. Theoretical geophysics and physico-mathematical models in geophysics

3. Astrophysics, cosmology, geometrodynamics and general relativity theories

4. 5. Quantum logics, including LM-logic algebras

6. Quantum state spaces, quantum operators, superoperators, observables, eigenstates

7. Hamiltonians and other Hermitian operators

8. 9. Quantum algebraic topology

10. Quantum operator algebra (QOA) in quantum field theories and quantum gravity

11. Quantum groups, Hopf algebras, quantum supergroups and superalgebras

12. Topological quantum field theories (TQFT)

13. Homotopy quantum field theories (HQFT)

14. 15. Unified field theories in physics, supersymmetry and spontaneous symmetry breaking

16. CPT symmetry and Parity violation

17. Quantum chromodynamics (QCD): quarks, parton distributions, nuclear spin structures and theories of Nuclear Fusion

18. Elementary particle theories and Higgs bosons

19. Quantum geometry and non-commutative geometry applications to SUSY model in physics

20. 21. 22. Geometry and group theory applications to mathematical crystallography

23. Spinors and spin groups: spin networks, spin foams, vectors, matrices, tensors and twistors

24. Complex systems structure (CSS) and dynamics (CSD)

25. Solitons and semi-classical systems

26. Systems with Chaos

27. Topological dynamics

28. Biotopology and topology applications in biology, non-random Networks: cellular, neural and genetic

29. Fluid dynamics, including aerodynamic and vorticity field models with applications in Aeronautics, rocketry and space exploration (NASA, etc.)

30. Superfluids and superconductivity: low- and high- temperature mechanisms

31. Non-crystalline systems, paracrystals and glasses

32. Categorical physics and categories/supercategories in biology

33. 34. Physical vs. mathematical probability

35. Applied statistical mechanics

36. Numerical analysis and measurement theory in physics

37. Biostatistics

38. Bibliography for statistical mechanics

39. Bibliography for mathematical physics and quantum algebraic topology

40. Computational physics and astrophysics

41. 42. Mathematical medicine and epidemiological models

43. 44. quantum nanoautomata and nanorobots

45. Mathematics in natural/life sciences

46. Mathematical biology and theoretical biophysics

47. 48. Bibliography for mathematical biophysics

49. Mathematics of finance and market predictions

50. Mathematical and mathematical physics applications to population genetics

51. Quantum genetics and bioinformatics

52. Mathematics and mathematical physics applications in electrical engineering and bioengineering

53. Mathematical physics and physical mathematics models applications in geophysics and ecology

54. Mathematical physics and physical mathematics models in energy science and engineering, alternative energy mathematical models and theories

## Mathematics Subject Classification

86-00*no label found*85-00

*no label found*83-00

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