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By Miki Wadati
This quantity includes chosen papers of Dr Morikazu Toda. The papers are prepared in chronological order of publishing dates. between Dr Toda's many contributions, his works on drinks and nonlinear lattice dynamics will be pointed out. The one-dimensional lattice the place nearest neighboring debris have interaction via an exponential capability is named the Toda lattice that is a miracle and certainly a jewel in theoretical physics. The papers during this quantity could be grouped into 5 topics: statistical mechanics, conception of drinks and ideas, lattice dynamics, Toda lattice and soliton idea and its purposes.
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H. A. Kramers, J. Chem. , 14,415 (1946). J. M . Burgers, Second Report on Viscosity and Plasticity, Elsevier, Houston-Amsterdam, 1938, p. 113. A. Peterlin, Z. , I l l , 232 (1938). 12. See J. M . Burgers in the above reference. 13. R. Simha, / . Research Noll Bar. Standard*, 48i +09 (1950). 14. A. Isihara, J. Phyt. Soc. Japan, 5, 201 (1950). 15. T. G. Fox and P. J . Flory, J. Phyt. , 53, 197 (1949). Synopsis We have noted some correspondences in the theories of high polymer solutions. This article is divided in two independent sections: (/) Osmotic pressure.
Kramers, J. Chem. , 14,415 (1946). J. M . Burgers, Second Report on Viscosity and Plasticity, Elsevier, Houston-Amsterdam, 1938, p. 113. A. Peterlin, Z. , I l l , 232 (1938). 12. See J. M . Burgers in the above reference. 13. R. Simha, / . Research Noll Bar. Standard*, 48i +09 (1950). 14. A. Isihara, J. Phyt. Soc. Japan, 5, 201 (1950). 15. T. G. Fox and P. J . Flory, J. Phyt. , 53, 197 (1949). Synopsis We have noted some correspondences in the theories of high polymer solutions. This article is divided in two independent sections: (/) Osmotic pressure.
Theor. Phys. 5 (19o0> written 60 follows 544. z 1 r N r 1 J 1 43 JOURNAL OP T H E PHYSICAL SOCIETY OF J A P A N Vol. 9, No. 1, J A N . — F E B . , 1954, Notes o n F e r m i a n d Bose Statistics By Morikazu TODA and Fumihiko TAKANO Institute of Physica, Tokyo University of Education (Received March 19, 1953) By expanding the grand partiti on function, we obtain the expression for partition function of two dimensional free particles which is seen to be of the same form as that of one dimensional harmonic oscillators.