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JaLCDOI	10.18926/14061
フルテキストURL	Mem_Fac_Eng_OU_42_56.pdf
著者	Miyake Takashi\| 東辻千枝子\| Nakanishi Kenta\| 鶴田健二\| 東辻浩夫\|
抄録	We analyze the ground state of the two-dimensional quantum system of electrons confined in a parabolic potential with the system size around 100. We map the system onto a classical system on the basis of the classical-map hypernetted-chain (CHNC) method which has been proven to work in the integral-equation-based analyses of uniform unbounded systems and then apply classical numerical simulations. We find that the confined system undergoes the transition to the spin polarized state with the decrease of the average density and the corresponding critical value is as low as rs ∼ 0.3 in terms of the usual rs parameter estimated for the average density. As the ground state for given value of the rs parameter, our data give the critical value for the transition around 20 which is consistent with the known possibility. The advantage of our method is a direct applicability to geometrically complex systems which are difficult to analyze by integral equations. The application to the structure like quantum dots reported here is the first example of such applications.
出版物タイトル	Memoirs of the Faculty of Engineering, Okayama University
発行日	2008-01
巻	42巻
号	1号
開始ページ	56
終了ページ	59
ISSN	0475-0071
言語	英語
論文のバージョン	publisher
NAID	120002308633

JaLCDOI	10.18926/14057
フルテキストURL	Mem_Fac_Eng_OU_42_36.pdf
著者	Kato, Hidehiro\| Nekado, Kenta\| Nogami, Yasuyuki\| Morikawa, Yoshitaka\|
抄録	This paper proposes an exponentiation method with Frobenius mappings. Our method is closely related to so-called interleaving exponentiation. Different from the interleaving exponentiation methods, our method can carry out several exponentiations using same base at the same time. The efficiency to use Frobenius mappings for an exponentiation in extension field is well introduced by Avanzi and Mihailescu. This exponentiation method is based on so-called simultaneous exponentiation and uses many Frobenius mappings. Their method more decreased the number of multiplications; however, the number of Frobenius mappings inversely increased. Compared to their method , the number of multiplications needed for the proposed method becomes about 20% larger; however, that of Frobenius mappings becomes small enough.
キーワード	exponentiation Frobenius mapping extension field
出版物タイトル	Memoirs of the Faculty of Engineering, Okayama University
発行日	2008-01
巻	42巻
号	1号
開始ページ	36
終了ページ	43
ISSN	0475-0071
言語	英語
論文のバージョン	publisher
NAID	120002308105

JaLCDOI	10.18926/14056
フルテキストURL	Mem_Fac_Eng_OU_42_18.pdf
著者	金谷健一\| Yasuyuki Sugaya\|
抄録	We classify and review existing algorithms for computing the fundamental matrix from point correspondences and propose new effective schemes: 7-parameter Levenberg-Marquardt (LM) search, EFNS, and EFNS-based bundle adjustment. Doing experimental comparison, we show that EFNS and the 7-parameter LM search exhibit the best performance and that additional bundle adjustment does not increase the accuracy to any noticeable degree.
出版物タイトル	Memoirs of the Faculty of Engineering, Okayama University
発行日	2008-01
巻	42巻
号	1号
開始ページ	18
終了ページ	35
ISSN	0475-0071
言語	英語
論文のバージョン	publisher
NAID	120002308468