Introduction to C. N. Yang's Selected Works




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Lecture notes

  • Lecture 1 : η pairing and its development
  • Reference: η pairing and off-diagonal long-range order in a Hubbard model. C. N. Yang. PRL, 63(19), 2144 (1989).
  • Reference: SO(4) symmetry in a Hubbard model. C. N. Yang and S. C. Zhang. Modern Physics Letters B, 4(11), 759-766 (1990).
  • Reference: SO(5) theory of antiferromagnetism and superconductivity. E. Demler, W. Hanke and S. C. Zhang. Reviews of modern physics, 76(3), 909 (2004).
  • Reference: Exact SO(5) symmetry in the spin-3/2 fermionic system. C. Wu, J. P. Hu and S. C. Zhang. PRL, 91(18), 186402 (2003).

  • Lecture 2 : Off-diagonal long-range order
  • Reference: On the Quantum Mechanics of Helium II. O. Penrose, Phil. Mag. 42,1373 (1951).
  • Reference: Bose-Einstein condensation and liquid helium. O. Penrose, L. Onsager. Physical Review, 104(3), 576 (1956).
  • Reference: Theoretical considerations concerning quantized magnetic flux in superconducting cylinders. N. Byers, C. N. Yang. PRL, 7(2), 46 (1961).
  • Reference: Concept of off-diagonal long-range order and the quantum phases of liquid He and of superconductors. C. N. Yang. Reviews of Modern Physics, 34(4), 694 (1962).
  • Reference: Competing orders in one-dimensional spin-3/2 fermionic systems. C. Wu. PRL, 95(26), 266404 (2005).

  • Lecture 3 : Bose gas of hard spheres
  • Reference: Quantum-mechanical many-body problem with hard-sphere interaction. K. Huang, C. N. Yang. Physical Review, 105(3), 767 (1957).
  • Reference: Eigenvalues and eigenfunctions of a Bose system of hard spheres and its low-temperature properties. T. D. Lee, K. Huang, C. N. Yang. Physical Review, 106(6), 1135 (1957).
  • Reference: FIFTY YEARS OF HARD-SPHERE BOSE GAS: 1957–2007. K. Huang. International Journal of Modern Physics B, 21(30), 5059-5073 (2007).
  • Reference: Atomic theory of the two-fluid model of liquid helium. R. P. Feynman. Physical Review, 94(2), 262 (1954).

  • Lecture 4 : TBA

  • Lecture 5 : Lee-Yang theorems of phase transitions
  • Reference: Statistical theory of equations of state and phase transitions. I. Theory of condensation. C. N. Yang, T. D. Lee. Physical Review, 87(3), 404 (1952).
  • Reference: Statistical theory of equations of state and phase transitions. II. Lattice gas and Ising model. T. D. Lee, C. N. Yang. Physical Review, 87(3), 410 (1952).

  • Lecture 6 : Parity Non-conservation
  • Reference: Question of Parity Conservation in Weak Interactions T. D. Lee, C. N. Yang. PhysRev.104.254 (1956).
  • Reference: The Discovery of the Parity Violation in Weak Interactions and Its Recent Development C. S. Wu. The Nishina Commemorative Lecture (LNP, volume 746) (1983).

  • Lecture 7 : Magnetic monopole
  • Reference: Quantised singularities in the electromagnetic field. P. A. M. Dirac. Proc. R. Soc. London, Ser. A133, 60 (1931).
  • Reference: MAGNETIC MONOPOLES, FIBER BUNDLES, AND GAUGE FIELDS. C. N. Yang. Annals of the New York Academy of Sciences, 294, 86 (1977).

  • Lecture 8 : Quantum Top and Monopole Harmonics
  • Reference: Dirac monopole without strings: Monopole harmonics. T T. Wu and C. N. Yang. Nuclear Physics B, 107(3), 365 (1976).

  • Lecture 9 : Symmetry dictates interactions -- Yang-Mills theory
  • Reference: Einstein's impact on theoretical physics. C. N. Yang. Physics Today, 33(6), 42 (1980).
  • Reference: Conservation of isotopic spin and isotopic gauge invariance. C. N. Yang, R. L. Mills. PhysRev, 96, 191 (1954).

  • Lecture 10 : Topological Aspect of Yang-Mills theory
  • Reference: Pseudoparticle solutions of the Yang-Mills equations. A.A. Belavin, A.M. Polyakov, A.S. Schwartz, Yu.S. Tyupkin. Physics Letters B, 59, 85 (1975).
  • Reference: Generalization of Dirac’s monopole to SU2 gauge fields. C. N. Yang. J. Math Phys, 19, 320 (1978).

  • Lecture 11 : Introduction to Bethe Ansatz
  • Reference: Integrable models in condensed matter physics. N. Andrei. cond-mat/9408101 (1994).
  • Reference: Some Exact Results for the Many-Body Problem in One Dimension with Repulsive Delta-Function Interaction. C. N. Yang. PhysRev, 19, 1312 (1967).

  • Lecture 12 : Quantum Inverse Method
  • Reference: Some Exact Results for the Many-Body Problem in One Dimension with Repulsive Delta-Function Interaction. C. N. Yang. PhysRev, 19, 1312 (1967).
  • Reference: Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension. Lieb, Wu. Phys. Rev. Lett. 20, 1445 (1968).
  • Reference: Bethe-ansatz wave function, momentum distribution, and spin correlation in the one-dimensional strongly correlated Hubbard model. M. Ogata, H. Shiba. PhysRev. B, 41, 2326 (1990).












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    Last modified: Dec 13, 2023.