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| 1.
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Matsumoto, Shuichi ; 松本, 修一
概要:
When we quantize a system consisting of a single particle, the proper time τ and the rest mass m are usually dealt with
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as parameters. In the present article, however, we introduce a new quantization rule by which these quantities are regarded as operators in addition to the position and the momentum. Applying this new rule to a scalar particle and to a particle with spin 1/2, we analyze the time evolution of the operator τ. In the former case, the evolution of the proper time perfectly matches several well-established classical formulae. In the case of the particle with spin 1/2, our new rule implies that an oscillation appears in the time evolution of the operator τ. This oscillation is similar to Zitterbewegung which is well-known in the ordinary Dirac theory. We formulate one physical effect of this oscillation by considering the interaction with a gravitational field, and estimate how small it is.
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| 2.
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Nishishiraho, Toshihiko ; 西白保, 敏彦
概要:
Inverse problems for the degree of the best approximation are discussed in the general settings in Banach spaces and sev
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eral refined results are obtained. Furthermore, applications are provided from the viewpoint of Fourier expansions associated with projections on Banach spaces.
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| 3.
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Maeda, Takashi ; 前田, 高士
概要:
The third component of the graded minimal free resolution of the third Veronese subring of three variables over a field
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k of characteristic zero, is proved to be decomposed into {741} 【○!+】 {732} 【○!+】 {651} 【○!+】 {642} 【○!+】 {633} 【○!+】 {552} 【○!+】 {543} 【○!×】 S(-4) as GL_3(k)-module, where {n, m, l} is the irreducible representation of GL_3(k) with the highest weight (n, m, l) and S is the polynomial ring of ten variables. They are expressed applying the symbolic method of ternary cubic forms in the classical invariant theory.
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| 4.
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Kinjo, Yoshiyuki ; Miyagi, Yashushi ; 金城, 義行
概要:
We indicate that if a Hamiltonian system possesses a noncommutative Lie algebra of integrals defined on a 2n-dimensional
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manifold in the noncommutative sense and an annihilator is an ideal, the system is tangent to an n-dimensional manifold.
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Sudo, Takahiro ; 須藤, 隆洋
概要:
This paper is devoted to the case by case study on structure of group C*-algebras of the Lie semi-direct products of the
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1-dimensional real or complex Lie groups by connected Lie groups, in particular, by commutative Lie groups or the generalized Heisenberg Lie groups. As corollaries, we determine existence and nonexistence of projections of these special group C*-algebras in terms of groups, and obtain some generalized results for more general C* -algebras by another methods.
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| 6.
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里井, 洋一 ; Satoi, Yoichi
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| 7.
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河名, 俊男 ; 管, 浩伸 ; 杉原, 薫 ; Kawana, Toshio ; Kan, Hironobu ; Sugihara, Kaoru
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| 8.
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Isomura, Minoru ; Ikegawa, Shiro ; Kinjo, Takao ; Takeuchi, Kumiko ; Yamane-Tanaka, Yuka ; Kitami, Kikuko ; Nakamura, Yusuke
概要:
Large-scale sequencing of genomic regions and in silico gene trapping together represent a highly efficient and powerful
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approach for identifying novel genes. We performed megabase-level sequence analyses of two genomic regions on human chromosome 8p (8p11.2 and 8p22.→p21.3), after covering those segments with sequence-ready contigs composed of 74 cosmids, 14 BACs, and three PAC clones. We determined continuous nucleotide sequences of 1,856,753 bases on 8p11.2 and 1,210,381 bases on 8p22→p21.3 by combining the shotgun and primer-walking methods. In silico gene trapping identified four novel genes in the 8p11.2 region and, in the 8p22→p21.3 region, six known genes ( PRLTS, PCM1, MTMR7, HCAT2, HFREP-1 and PHP ) and three novel genes. The distribution of Alu and LINE1 repetitive elements and the densities of predicted exons were different in each region, and Alu -rich portions contained more exonic sequences than LINE1-rich areas.
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| 9.
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松原, 敏夫 ; Matsubara, Toshio
概要:
THE OKINAWA BOARD OF EDUCATION PRESENTS LIETUVOS NACIONALINIS SIMFONINIS ORKESTRAS
1999年11月29日沖縄市民会館大ホールにて開催された、第2 … 7回沖縄市民コンサート『リトアニア国立交響楽団』のパンフレットの一部。 論文 続きを見る |
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| 10.
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辻, 雄二 ; Tsuji, Yuji
概要:
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