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Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation and...

Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation and Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model in The Physical Review, Volume 87, Number 3, August 1, 1952, pp. 404-409, pp. 410-419

by Yang, C. N. and Lee, T. D.

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Lancaster: American Institute of Physics, 1952. 1st Edition. FIRST EDITION IN ORIGINAL WRAPS of the first full version (both parts one and two) of the Lee-Yang theorem, two "seminal papers that became classics in the field of statistical mechanics" (Hu, Yang-Lee-Fisher Zeros). Yang and Lee state "that if partition functions of certain models in statistical field theory with ferromagnetic interactions are considered as functions of an external field, then all zeros are purely imaginary (or on the unit circle after a change of variable)" (Wikipedia). The first paper "proposed a general theory of phase transitions by studying the distribution of the roots of the grand partition function, thenceforth known as 'Yang-Lee zeroes.' The second paper applied the general theory to the lattice gas and the Ising model and obtained the famous 'Lee-Yang circle theorem'" (Hu). Lee and Yang's papers were "the dream of physicist's life-time accomplishment" (Zhu, Lee-Yang theorem, MIT). They provided a "new way of… Read More
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Conservation of Isotopic Spin and Isotopic Gauge Invariance in Physical Review 96, 1, October 1,...

Conservation of Isotopic Spin and Isotopic Gauge Invariance in Physical Review 96, 1, October 1, 1954, pp. 191-196

by Yang, C. N. and Mills, R. L.

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Lancaster: American Physical Society, 1954. 1st Edition. RARE FIRST EDITION, FIRST ISSUE IN ORIGINAL WRAPS of the Yang and Mills quantum mechanical theory, introduced in this paper and underappreciated at that time. The Yang-Mills theory is now the foundation of most of elementary particle theory; it is the mathematical foundation underlying "three of the four fundamental forces of nature that physicists succeeded in unifying in the last half of the 20th century: electromagnetism, the 'weak force' responsible for radioactive decay, and the 'strong force' responsible for holding the nuclei of atoms together" (Gale, World of Mathematics Summary). Yang and Mills proposed a tensor equation that relies on a quantum mechanical property called the 'mass gap.' "The laws of quantum physics stand to the world of elementary particles in the way that Newton's laws of classical mechanics stand to the macroscopic world. Almost half a century ago, Yang and Mills introduced a remarkable new framework to describe… Read More
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Conservation of Isotopic Spin and Isotopic Gauge Invariance (Yang, pp. 191-196) WITH Scattering of Low-Energy Photons by Particles of Spin 1/2 (Gell-Mann, pp. 1433-1438) WITH in Properties of Bethe-Salpeter Wave Functions (pp. 1124-1134) in Physical Review 96 (1), October 1, 1954 [YANG-MILLS QUANTUM MECHANICAL THEORY with GELL-MANN CROSSING SYMMETRY with WICK'S THEOREM]

by Yang, C. N. and R. L. Mills; Murray Gell-Mann (with M. J. Goldberger); Gian Carlo Wick

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Lancaster: American Physical Society, 1954. 1st Edition. RARE FIRST EDITION, FIRST ISSUE of the INTRODUCTION OF THE YANG-MILLS QUANTUM MECHANICAL THEORY. Also included in this volume is the paper in which Gell-Mann and Goldberger introduce crossing symmetry. "It is shown that an exact calculation in quantum field theory gives results identical with those obtained by classical methods or else by use of the Dirac equation with an anomalous Pauli moment" (Abstract). Also included is an important paper by Gian Carlo Wick introducing Wick's Theorem, a method of reducing high-order derivatives to a combinatorics problem used extensively in quantum field theory. YANG-MILLS THEORY: The Yang-Mills theory is now the foundation of most of elementary particle theory; it is the mathematical foundation underlying "three of the four fundamental forces of nature that physicists succeeded in unifying in the last half of the 20th century: electromagnetism, the 'weak force' responsible for radioactive decay, and… Read More
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Fused Neurons and Synaptic Contacts in the Giant Nerve Fibres of Cephalopods in Philosophical...
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Fused Neurons and Synaptic Contacts in the Giant Nerve Fibres of Cephalopods in Philosophical Transactions of the Royal Society of London, No 564 Vol 229 Series B 25 May 1939

by Young, John Z.

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London: Royal Society, 1939. 1st Edition. FIRST EDITION, OFFPRINT ISSUE IN ORIGINAL WRAPS of an "unforgettable contribution to neurobiology" (Wikipedia). John Z. Young, a pioneering cellular neuroscientist and "one of the most influential biologists of the 20th century," was the first to recognize something that would have revolutionize the treatment of those injured in battle: the ability for regrowth in the damaged nerves of squid and octopi (Lichtman and Sanes, "Translation Neuroscience," Journal of Experimental Biology, 209, 3485-3487). Young's discovery of the squid giant synapse, the chemical synaptic junction whose activation "triggers the synchronous contraction of the mantle musculature that is responsible for the forceful ejection of a jet stream of water from the mantle" marked the beginning of important biomedical research that would aid in efforts to treat wartime injuries. "Of all the non-fatal injuries that occur in battle, the most disabling are neural because of the limited… Read More
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