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Article type: Cover
1996 Volume 94 Issue 1 Pages
Cover1-
Published: October 20, 1996
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Article type: Appendix
1996 Volume 94 Issue 1 Pages
App1-
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Article type: Appendix
1996 Volume 94 Issue 1 Pages
A1-A2
Published: October 20, 1996
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[in Japanese]
Article type: Article
1996 Volume 94 Issue 1 Pages
A3-A6
Published: October 20, 1996
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[in Japanese]
Article type: Article
1996 Volume 94 Issue 1 Pages
A7-A12
Published: October 20, 1996
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P. Crehan
Article type: Article
1996 Volume 94 Issue 1 Pages
A13-A19
Published: October 20, 1996
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There is a class of polygonal billiards which can be mapped into classical flows on the surface of a g-handled sphere. In particular the π/3-rhombus billiard flow is equivalent to a flow on the surface of a two-handled sphere. The quantisation of this system is as yet an unsolved problem.
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[in Japanese]
Article type: Article
1996 Volume 94 Issue 1 Pages
A20-A29
Published: October 20, 1996
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Shogo Tanimura
Article type: Article
1996 Volume 94 Issue 1 Pages
A30-A45
Published: October 20, 1996
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It is known that there exist an infinite, number of inequivalent quantizations on a topologically nontrivial manifold even if it is a finitedimensional manifold. In this paper we consider the abelian sigma model in (1+1) dimensions to explore a system having infinite degrees of freedom. The model has a field variable φ: S^1→S^1. An algebra of the quantum field is defined respecting the topological aspect of this model. A central extension of the algebra is also introduced. It is shown that there exist an infinite number of unitary inequivalent representations, which are characterized by a central extension and a continuous parameter a α(0 ≤ α < 1). When the central extension exists, the winding operator and the zero-mode momentum obey a nontrivial commutator.
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DAVID MCMULLAN
Article type: Article
1996 Volume 94 Issue 1 Pages
A46-A49
Published: October 20, 1996
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The aim of this talk is to give a brief review of how the familiar process of quantizing linear systems can be extended to more complicated ones. Problems associated with quantizing a general classical system will be discussed, although the emphasis will be on theories with a high degree of symmetry so that group theoretic methods can be exploited.
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IZUMI TSUTSUI
Article type: Article
1996 Volume 94 Issue 1 Pages
A50-A52
Published: October 20, 1996
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A possible direction of constructing a path-integral description of inequivalent quantizations on coset spaces is discussed.
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[in Japanese], [in Japanese]
Article type: Article
1996 Volume 94 Issue 1 Pages
A53-A56
Published: October 20, 1996
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Shin Takagi
Article type: Article
1996 Volume 94 Issue 1 Pages
A57-A61
Published: October 20, 1996
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Kanji Fujii, Hitoshi Miyazaki, N.M. Chepilko
Article type: Article
1996 Volume 94 Issue 1 Pages
A62-A71
Published: October 20, 1996
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The formulation on a particle motion in n-demensional curved manifold M_n embedded in p-dimensional Euclidean space R_p is summarized, and the geometry-induced gauge structure is explained. Next we examine the scalar field theory with a soliton solution, and point out that in spite of the infinite degrees of freedom such a field theory has the same mathematical structure as a particle motion in M_n ⊂ R_p, and our formalism affords a clearer view of understanding physical contents of such a field theory.
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Shigeki MATSUTANI
Article type: Article
1996 Volume 94 Issue 1 Pages
A72-A74
Published: October 20, 1996
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In this note, I will show that the differential operator appearing in the submanifold quantum mechanics reflects the geometrical properties of the system and it is regarded as a natural or algebraic object; the Dirac operator defined over a thin elastic rod agrees with the Lax operator of the MKdV equation and the new index theorem related to the submanifold geometry is found.
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Kunio FUNAHASHI, Taro KASHIWA, Seiji SAKODA, Kazuyuki FUJII
Article type: Article
1996 Volume 94 Issue 1 Pages
A75-A78
Published: October 20, 1996
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[in Japanese]
Article type: Article
1996 Volume 94 Issue 1 Pages
A79-A80
Published: October 20, 1996
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[in Japanese], [in Japanese], J.O. Madsen
Article type: Article
1996 Volume 94 Issue 1 Pages
A81-A82
Published: October 20, 1996
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KIMIHIDE NISHIMURA
Article type: Article
1996 Volume 94 Issue 1 Pages
A83-A89
Published: October 20, 1996
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Quantum mechanics in curved space obtained by rewriting a time evolution kernel in a covariant form is investigated and compared with other quantization methods. The possibility to observe a quantum-gravitational effect is also discussed.
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Hitoshi MIYAZAKI, Kanji FUJII
Article type: Article
1996 Volume 94 Issue 1 Pages
A90-A98
Published: October 20, 1996
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We reformulate the genaral relativistic version given by S.Tanimura of Feynman's consideration. Velocity and momentum of a point particle are assumed to be transformed as (contravariant and covariant) vectors under the point transformation in quantum mechanical sense. Such an assumption restricts strongly the equation of motion allowed by the basic commutation relations. This equation is equivalent to Hamilton-type one including scalar, vector and gravitational fields covariantly.
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Article type: Appendix
1996 Volume 94 Issue 1 Pages
A99-
Published: October 20, 1996
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[in Japanese]
Article type: Article
1996 Volume 94 Issue 1 Pages
1-20
Published: October 20, 1996
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[in Japanese]
Article type: Article
1996 Volume 94 Issue 1 Pages
21-52
Published: October 20, 1996
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Article type: Appendix
1996 Volume 94 Issue 1 Pages
App2-
Published: October 20, 1996
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Article type: Appendix
1996 Volume 94 Issue 1 Pages
App3-
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Article type: Cover
1996 Volume 94 Issue 1 Pages
Cover2-
Published: October 20, 1996
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Article type: Cover
1996 Volume 94 Issue 1 Pages
Cover3-
Published: October 20, 1996
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