Hikami Kazuhiro HIKAMI Kazuhiro

ID:1000060262151

Department of Physics,Graduate School of Science,University of Tokyo (1999年 CiNii収録論文より)

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Articles:  1-20 of 25

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  • Crystallization of the Bogoyavlensky Lattice

    HIKAMI Kazuhiro , INOUE Rei , KOMORI Yasushi , KOMORI Yasushi

    We introduce a vertex model in two-dimension, which is associated withthe Bogoyavlensky lattice.We show that in a crystallized limit (q→ 0)we have a unique configuration, and that it coincides wi …

    Journal of the Physical Society of Japan 68(7), 2234-2240, 1999-07-15

    J-STAGE  References (16) Cited by (1)

  • Quantum Integrable Model on (2+1)-D Lattice

    INOUE Rei , HIKAMI Kazuhiro

    We construct the quantum integrable dynamical system on a (2+1)-dimensional lattice.We consider the q-commuting operators on 2-D lattice as adiscretization of the current algebra, and two evolution op …

    Journal of the Physical Society of Japan 68(6), 1843-1846, 1999-06-15

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  • The Hamiltonian Structure of the Bogoyavlensky Lattice

    HIKAMI Kazuhiro , INOUE Rei

    We study the Hamiltonian structure of the Bogoyavlensky lattice, which is an integrable differential-difference equation and is ageneralization of the Volterra model.We construct the lattice W algebra …

    Journal of the Physical Society of Japan 68(3), 776-783, 1999-03-15

    J-STAGE  References (31)

  • Lattice W Currents with Discrete Time

    INOUE Rei , HIKAMI Kazuhiro

    Sttrdied are the integra].c[e diff'erence-dif['ererace eqtratiotts f'or tlue lattice LX! cttrrents, xvhich canbe regarded as the f'trll-discretized (reduced) KP eqttatioras. NVe find explicit ['orrns …

    Journal of the Physical Society of Japan 68(2), 386-390, 1999-02-15

    References (23)

  • The Quantum Volterra Model and the Lattice Sine-Gordon System. : Constructuion of the Baxter Q Operator and the Integrals of Motion

    HIKAMI Kazuhiro , INOUE Rei

    XX7e investigate the integr?tble structttre of the qtrantttrn Volterra taaodel, which is a discretizationof the Korteweg-de Vries equation. Based on Sk[3'anin's naethod we derive the Baxter equation,a …

    Journal of the Physical Society of Japan 68(2), 380-385, 1999-02-15

    References (37)

  • The Z_N Symmetric Quantum Lattice Field Theory The Quantum Group Symmetry, the Yang-Baxter Equation, and the Integrals of Motion

    HIKAMI Kazuhiro

    We sttrdy the qtranttrm grotrp symmetry of the Zy symmetric lattice field theory, which isviexved as a discretization of the sf(N ) afline Toda field theory. XN7e reveal the qtrantum groupstrtrcttrre, …

    Journal of the Physical Society of Japan 68(1), 55-60, 1999-01-15

    References (23)

  • Generalized Lattice KdV Type Equation : Reduction of the Lattice W_3 Algebra

    HIKAMI Kazuhiro

    We study the lattice W(A<SUB>2</SUB><SUP>(2)</SUP>) algebra, which is a reduction ofthe lattice W<SUB>3</SUB> algebra.We give the integrals of motions, and define t …

    Journal of the Physical Society of Japan 68(1), 46-50, 1999-01-15

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  • Diagonalization of the Elliptic Ruijsenaars Model of Type-BC

    HIKAMI Kazuhiro , KOMORI Yasushi

    We study the elliptic Ruijsenaars model of type-BC, which is adifference analogue of the BC-type Calogero--Sutherland--Moser modelwith an elliptic pairwise potential.In the trigonometric limit, the di …

    Journal of the Physical Society of Japan 67(12), 4037-4044, 1998-12-15

    J-STAGE  References (28)

  • Discrete Time Bogoyavlensky Lattice and Lattice W Currents

    INOUE Rei , HIKAMI Kazuhiro

    The Bogoyavlensky lattice with discrete time is studied.We introduce an integrable integro-difference equation, which isobtained by taking an interaction range to infinity in the Bogoyavlensky lattice …

    Journal of the Physical Society of Japan 67(11), 3729-3733, 1998-11-15

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  • Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the Lattice W Algebra

    INOUE Rei , HIKAMI Kazuhiro

    We study the dynarnical system on the space-time lattice based on solutions of the Yang -Baxterequation. We construct the qtmantum integrable difference-difference equations associated withthe lattice …

    Journal of the Physical Society of Japan 67(4), 1163-1174, 1998-04-15

    References (26)

  • The Hungry-Volterra Model : The Classical and Quantum Integrable Structures

    INOUE Rei , HIKAMI Kazuhiro

    An extension of the Lotka-Volterra model, which we call the hungry-Volterramodel or the Bogoyavlensky lattice, is studied. We show that the model is integrable in both classical and quantum levels by …

    Journal of the Physical Society of Japan 67(1), 87-92, 1998-01-15

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  • Boundary Boltzmann Weight for the Eight-Vertex SOS Model: Vertex-IRF Correspondence

    HIKAMI Kazuhiro , KOMORI Yasushi

    Integrable boundary Boltzmann weight for the eight-vertexsolid-on-solid model is constructed.Based on the operator-valued solutions of both the Yang-Baxterequation and the reflection equation, we prop …

    Journal of the Physical Society of Japan 67(1), 78-82, 1998-01-15

    J-STAGE  References (29)

  • Hidden Symmetry of the Bogoyavlensky Lattice. the Lattice W Algebras and the Vertex Operators

    HIKAMI Kazuhiro , SOGO Kiyoshi , INOUE Rei

    We reveal the hidden algebraric syrnmetry of the Bogoyavlensky lattice (the extended Volterraunodel). Shown is the correspondence betxveen the lattice VV algebra and the Bogoyavlenskylattice. Soliton …

    Journal of the Physical Society of Japan 66(12), 3756-3763, 1997-12-15

    References (29)

  • New Approach to the Lattice W_N Algebra and the Exchange Algebra

    INOUE Rei , HIKAMI Kazuhiro

    Studied is the discrete analogue of the classical W<SUB>N</SUB> algebra. We derive a new representation of the exchange algebra. We discuss in detail a construction of the currents of the …

    Journal of the Physical Society of Japan 66(10), 3013-3020, 1997-10-15

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  • Separation of Variable for Quantum Open Toda Lattice

    HIKAMI Kazuhiro

    The quantum open Toda lattice is studied by the method of the separation of variable devel-oped by Sklyanin. The quantum canonical operators are derived from the monodromy matrix.Discussed is also the …

    Journal of the Physical Society of Japan 65(5), 1213-1221, 1996-05-15

    References (34)

  • Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems

    HIKAMI Kazuhiro

    The integrable quantum many-body systems associated withthe classical root systems are formulated in terms of the(trigonometric) Dunkl operators.We define the Dunkl operators by use of the infinite-di …

    Journal of the Physical Society of Japan 65(2), 394-401, 1996-02-15

    J-STAGE  References (39) Cited by (1)

  • Notes on the Dunkl Opoerator

    HIKAMI Kazuhiro

    The Dunkl operator is constructed based on the Yang-Baxter equation.We regard the R- and K-matrix, which satisfy the Yang-Baxter equation and th boundary Yang-Baxter equation, as operators acting on t …

    Journal of the Physical Society of Japan 64(7), 2257-2260, 1995-07-15

    J-STAGE  References (16)

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

    Hasegawa Toshio , Hikami Kazuhiro , Wadati Miki

    We construct the solutions of the su(2) trigonometric Knizhnik-Zamolodchikov (KZ) equation based on the Babujian's "off-shell Bethe ansatz" method. We show that the quasi-classical limit of the Bethe …

    Journal of the Physical Society of Japan 63(8), p2895-2901, 1994-08

  • Infinite Symmetry of the Spin Systems with Inverse Square Interactions

    Hikami Kazuhiro , Wadati Miki

    One-dimensional quantum particle system with SU(v) spins interacting through inverse square interactions is studied. We reveal algebraic structures of the system : hidden symmetry is the U(v)≅SU( …

    Journal of the Physical Society of Japan 62(12), p4203-4217, 1993-12

  • Classical Calogero Model and Matrix Model

    Hikami Kazuhiro , Wadati Miki

    It is proved that the classical Calogero model is a realization of the U(1) current algebra. The relations with the hermitian one-matrix model are explicitly shown. In particular, the coupling constan …

    Journal of the Physical Society of Japan 62(11), p3857-3863, 1993-11

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