Unity Root Matrix Theory (URMT)
Miscellaneous Related Topics
The modified FLT Equation (MFLT) Re-posted from Nov 2006.
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Eigenvectors from Eigenvalues Dec 2019. PDF Download

How to obtain the eigenvectors of a matrix with distinct eigenvalues by factorisation of the Cayley Hamilton polynomial.

 

 

 

Quantum Physics Lecture Dec 2019. PDF Download

A general popular lecture on two key properties of the quantum world; namely discrete states and wavefunction collapse with an associated explanation of the Einstein Podolsky Rosen (EPR) paradox. PDFDownload

MSc Theoretical Physics 2021/2022 Essays and Dissertation:

 

Essay: Integrability in Classical and Quantum Systems Part I The Heisenberg Spin Chain.

 

MSc. Dissertation: Reduction of Self-dual Yang-Mills and 4D Chern-Simons to Integrable Systems.

 

Essay: The Korteweg deVries (KDV) Equation and its Soliton solutions via the Inverse Scattering Transform method.

Essay: A basic guide to Super-Symmetry and the Wess-Zumino Model