研究成果 1978 2019

1997
2 引用 (Scopus)
Translational symmetry
Spin Models
Symmetry Breaking
Ground State
Solitons

Zeros of certain modular functions and an application

Asai, T., Kaneko, M. & Ninomiya, H., 1997, : : Commentarii Mathmatici Universitatis Sancti Pauli. 46, 1, p. 93-101 9 p.

研究成果: ジャーナルへの寄稿記事

1996
7 引用 (Scopus)

Affine Hecke algebra, Macdonald polynomials, and quantum many-body systems

Hikami, K., 12 1 1996, : : Journal of Physics A: Mathematical and General. 29, 11, p. L281-L287

研究成果: ジャーナルへの寄稿記事

Affine Hecke Algebra
Macdonald Polynomials
Yang-Baxter Equation
Root System
Algebra
4 引用 (Scopus)

Analytic torsions of spheres

Weng, L. & You, Y., 2 1 1996, : : International Journal of Mathematics. 7, 1, p. 109-125 17 p.

研究成果: ジャーナルへの寄稿記事

Analytic Torsion
17 引用 (Scopus)

Boundary K-matrix, elliptic Dunkl operator and quantum many-body systems

Hikami, K., 12 1 1996, : : Journal of Physics A: Mathematical and General. 29, 9, p. 2135-2147 13 p.

研究成果: ジャーナルへの寄稿記事

Dunkl Operators
Elliptic Operator
operators
many body problem
Operator

Chern classes of vector bundles on arithmetic varieties

Nakashima, T. & Takeda, Y., 1 1 1996, : : Pacific Journal of Mathematics. 176, 1, p. 205-216 12 p.

研究成果: ジャーナルへの寄稿記事

Chern Classes
Vector Bundle
Line Bundle
Stability Condition
High-dimensional
13 引用 (Scopus)

Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field

Hiroshima, F., 1 1 1996, : : Reviews in Mathematical Physics. 8, 2, p. 185-203 19 p.

研究成果: ジャーナルへの寄稿記事

Unitary transformation
Strong Product
Product formula
Gauge Transformation
Effective Potential
8 引用 (Scopus)

Integrability of a Hubbard-like model: Lattice analogue of the δ-function interacting gas

Hikami, K. & Murakami, S., 9 23 1996, : : Physics Letters, Section A: General, Atomic and Solid State Physics. 221, 1-2, p. 109-114 6 p.

研究成果: ジャーナルへの寄稿記事

analogs
gases
algebra
fermions
12 引用 (Scopus)

On Ground States of the One-Dimensional Ferromagnetic XXZ Model

Matsui, T., 12 1 1996, : : Letters in Mathematical Physics. 37, 4, p. 398-403 6 p.

研究成果: ジャーナルへの寄稿記事

lists
Ground State
ground state
Model
Polynomial
Coefficient
Observation
5 引用 (Scopus)

On quantum PSU(n)-invariants for lens spaces

Takata, T., 1 1 1996, : : Journal of Knot Theory and its Ramifications. 5, 6, p. 885-901 17 p.

研究成果: ジャーナルへの寄稿記事

On the non-analytic examples of christ and geller

Kamimoto, J., 1 1 1996, : : Proceedings of the Japan Academy Series A: Mathematical Sciences. 72, 3, p. 51-52 2 p.

研究成果: ジャーナルへの寄稿記事

1995

A generalized Jacobi theta function and quasimodular forms

Kaneko, M. & Zagier, D., 1995, : : Progress in Mathematics. 129, p. 165-172 8 p.

研究成果: ジャーナルへの寄稿記事

3 引用 (Scopus)

A hypergeometric integral attached to the configuration of the mirrors of the reflection group sn+2 acting on pn

Cho, K., Mimachi, K. & Yoshida, M., 1 1 1995, : : Kyushu Journal of Mathematics. 49, 1, p. 11-34 24 p.

研究成果: ジャーナルへの寄稿記事

Reflection Group
Mirror
Configuration

A Recurrence Formula for the Bernoulli Numbers

Kaneko, M., 1995, : : Proceedings of the Japan Academy Series A: Mathematical Sciences. 71, 8, p. 192-193 2 p.

研究成果: ジャーナルへの寄稿記事

173 引用 (Scopus)

Critical behavior in gravitational collapse of radiation fluid: A renormalization group (linear perturbation) analysis

Koike, T., Hara, T. & Adachi, S., 1 1 1995, : : Physical Review Letters. 74, 26, p. 5170-5173 4 p.

研究成果: ジャーナルへの寄稿記事

gravitational collapse
exponents
perturbation
fluids
radiation
4 引用 (Scopus)

Erratum: New lower bounds on the self-avoiding-walk connective constant

Hara, T., Slade, G. & Sokal, A. D., 2 1 1995, : : Journal of Statistical Physics. 78, 3-4, p. 1187-1188 2 p.

研究成果: ジャーナルへの寄稿コメント/討論

Self-avoiding Walk
Lower bound

Gamma factors for generalized Selberg zeta functions

Gon, Y., 1995, : : Proceedings of the Japan Academy Series A: Mathematical Sciences. 71, 7, p. 148-150

研究成果: ジャーナルへの寄稿記事

公開
1 引用 (Scopus)

Integral representations of unramified galois groups and matrix divisors over number fields

Morishita, M., 1 1 1995, : : Osaka Journal of Mathematics. 32, 3, p. 565-576 12 p.

研究成果: ジャーナルへの寄稿記事

Galois group
Number field
Integral Representation
Divisor
26 引用 (Scopus)

Intersection theory for twisted cohomologies and twisted Riemann’s period relations. I

Cho, K. & Matsumoto, K., 1 1 1995, : : Nagoya Mathematical Journal. 139, p. 67-86 20 p.

研究成果: ジャーナルへの寄稿記事

Intersection Theory
Cohomology
21 引用 (Scopus)

Separation of variables in the BC-type Gaudin magnet

Hikami, K., 12 1 1995, : : Journal of Physics A: Mathematical and General. 28, 14, p. 4053-4061 9 p., 023.

研究成果: ジャーナルへの寄稿記事

Separation of Variables
Integrable Systems
Magnets
Siméon Denis Poisson
magnets
16 引用 (Scopus)

Simple construction of the elliptic boundary K-matrix

Hikami, K., 9 11 1995, : : Physics Letters A. 205, 2-3, p. 167-172 6 p.

研究成果: ジャーナルへの寄稿記事

operators

Singular moduli and the arakelov intersection

Weng, L., 1 1 1995, : : Tohoku Mathematical Journal. 47, 3, p. 345-356 12 p.

研究成果: ジャーナルへの寄稿記事

Modulus
Intersection
Gross
L'Hôpital's Rule
Half-plane
19 引用 (Scopus)

Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra

Hikami, K., 12 1 1995, : : Journal of Physics A: General Physics. 28, 4, p. L131-L136 004.

研究成果: ジャーナルへの寄稿記事

W-algebras
Harmonic Potential
Algebra
algebra
harmonics
28 引用 (Scopus)

The Self-Avoiding-Walk and Percolation Critical Points in High Dimensions

Hara, T. & Slade, G., 9 1995, : : Combinatorics, Probability and Computing. 4, 3, p. 197-215 19 p.

研究成果: ジャーナルへの寄稿記事

Self-avoiding Walk
Higher Dimensions
Critical point
Error Bounds
Lace Expansion

Universal R-matrices for the quantum group Uq (sl (N + C)): The root of unity case

Takata, T., 1 1 1995, : : Osaka Journal of Mathematics. 32, 4, p. 959-986 28 p.

研究成果: ジャーナルへの寄稿記事

R-matrix
Roots of Unity
Quantum Groups
1994

Bochner-Hecke 等式の幾つかの証明とその周辺

Nomura, T., 1994, : : RIMS Kokyuroku.

研究成果: ジャーナルへの寄稿評論記事

4 引用 (Scopus)

Comparison of (Co)Homologies of Branched Covering Spaces and Twisted Ones of Basespaces I

Cho, K. & Yoshida, M., 1 1 1994, : : Kyushu Journal of Mathematics. 48, 1, p. 111-122 12 p.

研究成果: ジャーナルへの寄稿記事

Branched Covering
Covering Space
Homology
5 引用 (Scopus)

Grassmann manifold of a JH-algebra

Nomura, T., 2 1 1994, : : Annals of Global Analysis and Geometry. 12, 1, p. 237-260 24 p.

研究成果: ジャーナルへの寄稿記事

Grassmann Manifold
Jordan
Figure
Algebra
Hilbert Algebra
8 引用 (Scopus)

Integral Solution of Trigonometric Knizhnik-Zamolodchikov Equation; Off-Shell Bethe Ansatz Method

Hasegawa, T., Hikami, K. & Wadati, M., 1 1 1994, : : journal of the physical society of japan. 63, 8, p. 2895-2901 7 p.

研究成果: ジャーナルへの寄稿記事

Localization theorem in equivariant algebraic K-theory

Takeda, Y., 9 16 1994, : : Journal of Pure and Applied Algebra. 96, 1, p. 73-80 8 p.

研究成果: ジャーナルへの寄稿記事

Algebraic K-theory
Group Scheme
Equivariant
Coherent Sheaf
K-group
1 引用 (Scopus)

On additional symmetry: the many-body problem related to the KP hierarchy

Hikami, K. & Wadati, M., 8 8 1994, : : Physics Letters A. 191, 1-2, p. 87-90 4 p.

研究成果: ジャーナルへの寄稿記事

many body problem
hierarchies
symmetry
nonlinear equations
interactions
5 引用 (Scopus)

Purification and uniqueness of quantum Gibbs states

Matsui, T., 5 1 1994, : : Communications in Mathematical Physics. 162, 2, p. 321-332 12 p.

研究成果: ジャーナルへの寄稿記事

Gibbs States
Spin Models
uniqueness
Purification
purification
11 引用 (Scopus)

Self-similarity of binary quasiperiodic sequences

Odagaki, T. & Kaneko, M., 12 1 1994, : : Journal of Physics A: Mathematical and General. 27, 5, p. 1683-1690 8 p., 030.

研究成果: ジャーナルへの寄稿記事

Binary sequences
Self-similarity
Similarity Transformation
Binary
Irrational number
9 引用 (Scopus)

Smooth projective varieties dominated by smooth quadric hypersurfaces in any characteristic

Cho, K. & Sato, E., 9 1 1994, : : Mathematische Zeitschrift. 217, 1, p. 553-565 13 p.

研究成果: ジャーナルへの寄稿記事

Projective Variety
Quadric
Hypersurface
92 引用 (Scopus)

The Riemannian structure of Alexandrov spaces

Otsu, Y. & Shioya, T., 1 1 1994, : : Journal of Differential Geometry. 39, 3, p. 629-658 30 p.

研究成果: ジャーナルへの寄稿記事

Alexandrov Space
Singular Point
Hausdorff Dimension
n-dimensional
Curvature
1993
4 引用 (Scopus)

Classical Calogero Model and Matrix Model

Hikami, K. & Wadati, M., 1 1 1993, : : journal of the physical society of japan. 62, 11, p. 3857-3863 7 p.

研究成果: ジャーナルへの寄稿記事

matrices
nonlinear evolution equations
current algebra
59 引用 (Scopus)

Infinite Symmetry of the Spin Systems with Inverse Square Interactions

Hikami, K. & Wadati, M., 1 1 1993, : : journal of the physical society of japan. 62, 12, p. 4203-4217 15 p.

研究成果: ジャーナルへの寄稿記事

algebra
symmetry
current algebra
interactions
wave functions
10 引用 (Scopus)

Integrability and algebraic structure of the quantum Calogero-Moser model

Wadati, M., Hikami, K. & Ujino, H., 1 1 1993, : : Chaos, solitons and fractals. 3, 6, p. 627-636 10 p.

研究成果: ジャーナルへの寄稿記事

Algebraic Structure
Integrability
Operator
Model
Current Algebra
53 引用 (Scopus)

Integrability of Calogero-Moser Spin System

Hikami, K. & Wadati, M., 1 1 1993, : : journal of the physical society of japan. 62, 2, p. 469-472 4 p.

研究成果: ジャーナルへの寄稿記事

operators
wave functions
ground state
4 引用 (Scopus)

Manifold of primitive idempotents in a Jordan-Hilbert algebra

Nomura, T., 1 1993, : : Journal of the Mathematical Society of Japan. 45, 1, p. 37-58 22 p.

研究成果: ジャーナルへの寄稿記事

Hilbert Algebra
Jordan Algebra
Idempotent
26 引用 (Scopus)

New lower bounds on the self-avoiding-walk connective constant

Hara, T., Slade, G. & Sokal, A. D., 8 1 1993, : : Journal of Statistical Physics. 72, 3-4, p. 479-517 39 p.

研究成果: ジャーナルへの寄稿記事

Self-avoiding Walk
Lower bound
Exact Enumeration
enumeration
Restoration
46 引用 (Scopus)

Positive Lyapunov exponents in families of one dimensional dynamical systems

Tsujii, M., 12 1 1993, : : Inventiones Mathematicae. 111, 1, p. 113-137 25 p.

研究成果: ジャーナルへの寄稿記事

Absolutely Continuous Invariant Measure
Lyapunov Exponent
Dynamical system
Theorem
Estimate
4 引用 (Scopus)

Quantum integrable systems

Wadati, M., Nagao, T. & Hikami, K., 9 15 1993, : : Physica D: Nonlinear Phenomena. 68, 1, p. 162-168 7 p.

研究成果: ジャーナルへの寄稿記事

Quantum Integrable Systems
Long-range Interactions
Inverse Scattering
inverse scattering
Finite Temperature
9 引用 (Scopus)

Selfsimilarity in a Class of Quadratic-Quasiperiodic Chains

Kaneko, M. & Odagaki, T., 1 1 1993, : : journal of the physical society of japan. 62, 4, p. 1147-1152 6 p.

研究成果: ジャーナルへの寄稿記事

symmetry
33 引用 (Scopus)

The Quantum Calogero-Moser Model: Algebraic Structures

Ujino, H., Wadati, M. & Hikami, K., 1 1 1993, : : journal of the physical society of japan. 62, 9, p. 3035-3043 9 p.

研究成果: ジャーナルへの寄稿記事

operators
acceleration (physics)
current algebra
1992
35 引用 (Scopus)

Construction of Integrable Spin Systems with Long-Range Interactions

Hikami, K., Kulish, P. P. & Wadati, M., 12 1992, : : journal of the physical society of japan. 61, 9, p. 3071-3076 6 p.

研究成果: ジャーナルへの寄稿記事

interactions
41 引用 (Scopus)

Integrability of the Quantum Calogero-Moser Model

Ujino, H., Hikami, K. & Wadati, M., 10 1992, : : journal of the physical society of japan. 61, 10, p. 3425-3427 3 p.

研究成果: ジャーナルへの寄稿記事

operators
inverse scattering