Contents -- Preface -- [[71d]] Speech About the Great Wall -- Commentary -- [[A71d]] C. N. Yang Discusses Physics in People's Republic of China -- Commentary -- [[72d]] A de Gaulle-Like Trip -- Commentary -- [[77g]] Condition of Self-Duality for SU(2) Gauge Fields on Euclidean Four-Dimensional Space -- Commentary -- [[78a]] Generalization of Dirac's Monopole to SU2 Gauge Fields -- I. INTRODUCTION -- II. CONSTRUCTION OF THE SOLUTIONS -- Ill. CONSTRUCTION OF THE SOLUTIONS (CONTINUED) -- IV. POTENTIALS bi(a)u AND bi(bu) -- V. FIELD STRENGTHS fiuv FOR FIELD -- VI. ANALYTICITY AT = 0 AND = -- VII. PROOF OF S05 SYMMETRY -- VIII. ADDITIONAL PROPERTIES -- IX. FIELDS AND AS THE ONLY S05 SYMMETRICAL FIELDS -- X. ANGULAR MOMENTUM OPERATORS -- XI. REMARKS -- APPENDIX A: SOME PROPERTIES OF SU2 GAUGE FIELDS IN FOUR DIMENSIONS -- APPENDIX C: PROOF THAT FIELD IS ORTHOGONAL SELF·ANTIDUAL -- Commentary -- [[79d]] Einstein and the Physics of the Future Panel Discussion -- Commentary -- [[80d]] Does Violation of Microscopic Time-Reversal Invariance Lead to the Possibility of Entropy Decrease? (with C. P. Yang) -- ACKNOWLEDGMENT -- REFERENCES -- Commentary -- [[82c]] Joseph Mayer and Statistical Mechanics -- Bibliography -- Commentary -- [[82e]] Flux Quantization, A Personal Reminiscence -- Acknowledgments -- References -- Commentary -- [[82g]] The Discrete Symmetries P, T and C -- FOOTNOTES -- DISCUSSION -- Commentary -- [[83g]] Gauge Fields, Electromagnetism and the Bohm-Aharonov Effect -- 1. Josephson Junction Experiment -- 2. Necessity of Single Valuedness of Wavefunctions -- 3. Definition of J Au dxu When There are Gauge-Transformations -- 4. Diffraction Pattern Only Depends on Total Flux -- 5. Locality of Electromagnetism in the Bohm-Aharonov Experiment -- 6. Weyl's Scale Change and Einstein's Objection.

7. Charge Quantization, Compactness of the Gauge Group, and Flux Quantization -- 8. Electromagnetism is the Gauge Invariant Manifestation of a Nonintegrable Phase Factor -- References -- Commentary -- [[85g]] Spin of Electrons, Hadrons and Nuclei (with T. T. Chou) -- 1. The Spin Is Mysterious -- 2. Can One Measure the Velocity Profile of Quark-Gluon Matter Inside a Spinning Hadron or Nucleus? -- 3, Importance of Angular Momentum for very High Energy Multiparticle Production Processes -- References -- DISCUSSION -- Commentary -- [[85j]] Hermann Weyl's Contribution to Physics -- I -- II -- III -- IV -- Commentary -- Additional comments -- [[86c]] Square Root of Minus One, Complex Phases and Erwin SchrÖdinger -- 5.1. Introduction -- 5.2. Complex numbers in matrix and wave mechanics -- 5.3. Complex numbers in Weyl's gauge theory -- 5.4. Modern consequences -- 5.5. Appendix -- A letter from F. London to E. Schrodinger* -- References -- Commentary -- [[87a]] Generalization of Sturm-Liouville Theory to a System of Ordinary Differential Equations with Dirac Type Spectrum -- 1. Introduction -- 2. Differential Equation and Boundary Condition -- 3. Solution Set tp Satisfying Boundary Condition at x = 0 -- 4. Properties of - 1 and the Phase Angles i -- 5. Eigenvalues El and Eigenfunctions l -- 6. Density of Eigenvalues -- 7. Conversion to Integral Equation with Symmetrical Kernel -- References -- Commentary -- [[87b]] C. Y Chao, Pair Creation and Pair Annihilation (with B. A. Li) -- I. Introduction -- 2. Background -- (a) The Compton formula 15 -- (b) The Dirac16 and Gordon17 formula -- (c) The Klein-Nishina formula18 -- 3. Anomalous Absorption -- 4. "Additional Scattered Rays" -- 5. Interpretation -- 6. Chao's Crucial Value of .5 MeV -- Acknowledgments -- References -- Commentary.

[[88b]] A One-Dimensional N Fermion Problem with Factorized S Matrix (with C. H. Gu) -- 1. Introduction -- 2. Bethe's Hypothesis -- 3. N=2 -- 4. N 3 -- 5. Yang-Baxter Equation -- 6. S-Matrix -- 7. Wave Packet Interpretation of Yang-Baxter Equation -- 8. Bound States for c < 0 -- 9. Scattering of Bound States ( c < 0) -- 10. Properties of the S Matrix -- References -- Commentary -- [[88d]] Journey Through Statistical Mechanics -- References -- Commentary -- [[89c]] Modern Physics and Warm Friendship -- Commentary -- [[90b]] SO4 Symmetry in a Hubbard Model (with S. C. Zhang) -- Acknowledgments -- References -- Commentary -- [[90e]] Symmetry and Physics -- Early Beginnings -- 19th Century: Group and Crystals -- 20th Century: Enlarged Role of Symmetry -- 20th Century: Gauge Symmetry -- 21st Century: New Facets of Symmetry? -- Commentary -- [[91e]] S. S. Chern and I -- Commentary -- [[92c]] Reflections on the Development of Theoretical Physics -- REFERENCES -- Commentary -- [[93b]] Deng Jiaxian -- From "Trampled on" to "Standing up" -- Father of Two Bombs -- Deng Jiaxian and Oppenheimer -- Tears for the Chinese People? Tears for a Friend? -- "I must not leave" -- Eternally Proud -- Commentary -- [[95b]] Julian Schwinger -- Commentary -- [[95d]] Path Crossings with Lars Onsager -- References -- Commentary -- [[97d]] Exact Solution of the Vibration Problem for the Carbon-60 Molecule (with T. T. Chou) -- 1. Introduction -- 2. Method -- 3. Symmetry of the C6o molecule -- 4. The vibration matrix -- 4.1. Potential energy for bond-stretching -- 4.2. Potential energy for angular motion -- 5. Vibrational characteristic polynomials -- Acknowledgement -- References -- Commentary -- [[97f]] Father and I -- 1 -- 2 -- 3 -- 4 -- Commentary -- [[99c]] Speech After Banquet -- [[A99j]] Writeup Upon Hearing of Mills' Death -- Commentary -- [[01f]] Enrico Fermi -- Commentary.

[[01g]] Werner Heisenberg (1901-1976) -- Commentary -- [[02c]] Banquet Speech, June 2002 -- Commentary -- [[02i]] Thematic Melodies of Twentieth Century Theoretical Physics: Quantization, Symmetry and Phase Factor -- 1. Quantization -- 2. Symmetry -- 3. Phase Factor -- 4. Development -- Commentary -- [[04c]] Gauge Invariance and Interactions -- Commentary -- [[05b]] Albert Einstein: Opportunity and Perception -- I -- II -- III -- Commentary -- [[06b]] The Klein-Nishina Formula & Quantum Electrodynamics -- Magic and Sickness -- Was Dirac's equation correct? -- Commentary -- [[08d]] Pseudopotential Method and Dilute Hard "Sphere" Bose Gas in Dimensions 2, 4 and 5 -- REFERENCES -- Commentary -- [[09f]] Ground State of Fermions in a 1D Trap with δ Function Interaction -- AN EQUIVALENT PROBLEM -- References -- Commentary -- [[10a]] Banquet Speech at the Singapore Conference in Honour of Murray Gell-Mann on His 80th Birthday -- Commentary -- [[10e]] Spin 1/2 Fermions in 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction (with Z.-Q. Ma) -- References -- Commentary -- [[10h]] One-Dimensional w-Component Fermions and Bosons with Repulsive Delta Function Interaction (with Y. Z. You) -- References -- Commentary -- [[11a]] Quantum Numbers, Chern Classes, and a Bodhisattva -- Physics meets geometry -- Commentary -- [[11b]] My Experience as a Student and Researcher -- References -- Commentary -- [[12a]] Fermi's β-Decay Theory -- I -- II -- III -- IV -- V -- References -- [[12d]] Topology and Gauge Theory in Physics -- References -- Commentary -- [[12f]] On Reaching Age Ninety -- Postscript -- Index of Names in the Commentaries.