By M. Suzuki (auth.), Professor Masuo Suzuki (eds.)

Speech through Toyosaburo Taniguchi Dr. Kubo, Chairman, exceptional site visitors, and buddies, i'm more than pleased, happy and venerated to be the following this night with such a lot of individual site visitors, neighbors, and students from inside this state and from diverse components of the area. The Taniguchi beginning needs to increase a hot and honest welcome to the various individuals of the 9th foreign Symposium at the concept of Condensed topic, which se­ ries was once inaugurated 8 years in the past throughout the strenuous efforts of Dr. Ryogo Kubo, who's gracing us this day along with his presence. we're deeply indebted to Dr. Kubo, Dr. Suzuki, and their affiliates, who've' spent an important period of time and energy to make this actual symposium attainable. we're confident that the basis shouldn't be regarded as what makes our symposium successful. The good fortune is completely due, i think, to the continual efforts of the Organizing Committee and of all those that have lent their aid to this application. during this feel, your phrases of compliment in regards to the symposium, if any, could be directed to them all. to date, i've got met in individual a complete of sixty two individuals during this department from 12 nations: Argentina, Belgium, Canada, Denmark, the Federal Republic of Germany, France, eire, Israel, Rumania, Switzerland, the uk, and the us of the United States, with 133 members from Japan. these associates i've been privileged to make, I shall continuously treasure.

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Additional resources for Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems: Proceedings of the Ninth Taniguchi International Symposium, Susono, Japan, November 14–18, 1986

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Theor. Phys. Th 46 (1986) H. Betsuyaku: Prog. Theor. Phys. Th 774 (1986) H. Betsuyaku and T. Yokota: Prog. Theor. Phys. 75, 808 (1986) S. Katsura: Phys. Rev. 127, B1508 (1962) M. S. Shastry: Phys. Rev. B18, 3351 (1978) A. Wiesler: Phys. Lett. 89A, 359 (1982)Instead of using the term, the 'local' process, as in Ref. C. E. Fisher: Phys. Rev. 111, A640 (1964) M. Suzuki: Phys. Rev. B31, 2957 (1985); J. Math. Phys. ~ 601 (1985); Phys. Lett. B. Griffiths: Phys. Rev. 133, A768 (1964) T. Tsuzuki: private communication M.

The one-dimensional antiferromagnetic Heisenberg model (S=1/2) is studied for the Trotter number m~32 to check the efficiency of our algorithm. We deal with both the pair-spin decomposition and the cluster-spin decomposition approximations. 1. Introduction With the development of a computer, marked progress has been made in the speedup of Monte Carlo simulation of classical systems recently /1-6/. The use of vector computers and the development of the efficient algorithm have made the speedup possible.

Betsuyaku, Dr. Miyashita, Dr. T. Onogi and Miss M. Takasu for their collaboration on the present work. The Taniguchi foundation is greatly acknowledged for its sponsoring the present International Symposium of Quantum Monte Carlo in Equilibrium and Non-Equilibrium Systems. References 1. D. M. Ceperley, adn M. H. Kalos: in Monte Carlo Methods in Statistical Physics, ed. by K. Binder, Topics in Current Physics, Vol. 7 (Springer, New York 1979) 2. K. Binder, and D. Stauffer: in Applications of the Monte Carlo Method in Statistical Physics, ed.

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