Book:Richard J. Miller/Unity Root Matrix Theory: A Quark Flavour Model

Richard J. Miller: Unity Root Matrix Theory: A Quark Flavour Model

Published $\text {2016}$, New Generation Publishing

ISBN 978-1-78719-212-6

Subject Matter

• Quantum Mechanics

Contents

Mathematical and Physical Advances

References

Acronyms and Abbreviations

Dedication and Acknowledgements

Foreword

Overview

Part I: URMT Mathematical Extensions

1 URM3 Review

2 A three-axis expansion of URM3

3 URM2 from URM3

Part II: Isospin and the Up and Down Quarks

4 Conventional Isospin

5 URM2 Isospin

6 Unitary Transformations

Part III: Three Quarks

7 URM3 and the Strange Quark

8 State Transition Evolution

9 Exponential Evolution

10 URM2 Evolution

11 Gell-Mann Matrices

12 Hadrons

Part IV: All Six Quarks

13 URM6 Charm Bottom and Top

14 Numerical Example

Appendices

15 Appendix (A) URM3

16 Appendix (B) URM3 Eigenvector Evolution

17 Appendix (C) Reserved

17 Appendix (D) Special Unitary Groups

18 Appendix (E) Reciprocal and Conjugate Eigenvectors

20 Appendix (F) Conservation Equations and Invariants

21 Appendix (G) Calculus Properties of URMT

22 Appendix (H) URM2

23 Appendix (I) Glossary of Terms and Definitions

24 Appendix (J) The Standard Physical Interpretation

25 Appendix (K) Conventions

26 Appendix (L) Notation