Miwa, T. (Tetsuji)
Overview
Works:  78 works in 200 publications in 3 languages and 2,108 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Inventor 
Classifications:  QC174.26.W28, 515.353 
Publication Timeline
.
Most widely held works by
T Miwa
Solitons : differential equations, symmetries, and infinite dimensional algebras by
T Miwa(
Book
)
20 editions published between 2000 and 2012 in English and held by 361 WorldCat member libraries worldwide
"The goal of this book is to investigate the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. The work of M. Sato on the algebraic structure of completely integrable systems is discussed, together with developments of these ideas in the work of M. Kashiwara." "This book should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to the novice and expert alike."Jacket
20 editions published between 2000 and 2012 in English and held by 361 WorldCat member libraries worldwide
"The goal of this book is to investigate the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. The work of M. Sato on the algebraic structure of completely integrable systems is discussed, together with developments of these ideas in the work of M. Kashiwara." "This book should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to the novice and expert alike."Jacket
Algebraic analysis of solvable lattice models by
M Jimbo(
Book
)
17 editions published between 1994 and 1999 in English and held by 290 WorldCat member libraries worldwide
17 editions published between 1994 and 1999 in English and held by 290 WorldCat member libraries worldwide
Physical combinatorics by
Masaki Kashiwara(
Book
)
12 editions published in 2000 in English and held by 220 WorldCat member libraries worldwide
"Taking into account the various crisscrossing among mathematical subjects, Physical Combinatorics presents new results and exciting ideas from three viewpoints: representation theory, integrable models, and combinatorics." "This volume will be of interest to mathematical physicists and graduate students in the abovementioned fields."Jacket
12 editions published in 2000 in English and held by 220 WorldCat member libraries worldwide
"Taking into account the various crisscrossing among mathematical subjects, Physical Combinatorics presents new results and exciting ideas from three viewpoints: representation theory, integrable models, and combinatorics." "This volume will be of interest to mathematical physicists and graduate students in the abovementioned fields."Jacket
Nonlinear integrable systemsclassical theory and quantum theory : proceedings of RIMS symposium, Kyoto, Japan, 1316 May,
1981 by
M Jimbo(
Book
)
8 editions published in 1983 in English and held by 199 WorldCat member libraries worldwide
8 editions published in 1983 in English and held by 199 WorldCat member libraries worldwide
Integrable systems in quantum field theory and statistical mechanics by
M Jimbo(
Book
)
11 editions published between 1989 and 1990 in English and Undetermined and held by 183 WorldCat member libraries worldwide
11 editions published between 1989 and 1990 in English and Undetermined and held by 183 WorldCat member libraries worldwide
Conformal field theory and solvable lattice models by
M Jimbo(
Book
)
8 editions published in 1988 in English and held by 147 WorldCat member libraries worldwide
Conformal field theory and solvable lattice models
8 editions published in 1988 in English and held by 147 WorldCat member libraries worldwide
Conformal field theory and solvable lattice models
MathPhys odyssey 2001 : integrable models and beyond : in honor of Barry M. McCoy(
Book
)
12 editions published in 2002 in English and held by 143 WorldCat member libraries worldwide
This volume is dedicated to Barry M. McCoy on the occasionofhis sixtieth birthday. Barry McCoy has led the research on integrable models in statistical mechanics and quantumfieldtheoryfor morethan 30years. Hisbook, cowrittenwithT. T. Wu, The Two dimensional/sing Model, (HarvardUniversity)containsallthebasic resultsontheIsing model obtained by the early 1970s. However, McCoy'sjointpaper with Wu, Tracy and Barouch, Spinspin correlation functions for the twodimensional/sing model: Exact results in the scaling region (Physical Review B13, 316374, 1976), was a giant step beyond the book. A remarkable connection between the twopoint scaling correlation functions and the Painleve transcendents was found. This work made an enormous impact on mathematical physics in the last quarter of the 20th century. It gave the first nontrivial exampleofinteracting field theory in which the Green function can be written explicitly in terms of special functions satisfying nonlinear differential equations. Later in the 1980s, an extensive list of massless field theories was added in the innovation of conformal field theory, in which the Green functions are characterized by linear differential equationsofthe hypergeometric type. However, evenalmost30yearsaftertheirwork, theIsingmodel isessentiallytheunique casewhereall theGreenfunctionsofmassivefield theoryarecharacterizedbynonlinear differential equations
12 editions published in 2002 in English and held by 143 WorldCat member libraries worldwide
This volume is dedicated to Barry M. McCoy on the occasionofhis sixtieth birthday. Barry McCoy has led the research on integrable models in statistical mechanics and quantumfieldtheoryfor morethan 30years. Hisbook, cowrittenwithT. T. Wu, The Two dimensional/sing Model, (HarvardUniversity)containsallthebasic resultsontheIsing model obtained by the early 1970s. However, McCoy'sjointpaper with Wu, Tracy and Barouch, Spinspin correlation functions for the twodimensional/sing model: Exact results in the scaling region (Physical Review B13, 316374, 1976), was a giant step beyond the book. A remarkable connection between the twopoint scaling correlation functions and the Painleve transcendents was found. This work made an enormous impact on mathematical physics in the last quarter of the 20th century. It gave the first nontrivial exampleofinteracting field theory in which the Green function can be written explicitly in terms of special functions satisfying nonlinear differential equations. Later in the 1980s, an extensive list of massless field theories was added in the innovation of conformal field theory, in which the Green functions are characterized by linear differential equationsofthe hypergeometric type. However, evenalmost30yearsaftertheirwork, theIsingmodel isessentiallytheunique casewhereall theGreenfunctionsofmassivefield theoryarecharacterizedbynonlinear differential equations
Special functions : proceedings of the Hayashibara Forum 1990, held in Fujisaki Institute, Okayama, Japan, August 1620, 1990 by Hayashibara Forum(
Book
)
6 editions published in 1991 in English and held by 142 WorldCat member libraries worldwide
6 editions published in 1991 in English and held by 142 WorldCat member libraries worldwide
Algebraic analysis and around : in honor of Professor Masaki Kashiwara's 60th Birthday by Algebraic analysis and around(
Book
)
10 editions published in 2009 in English and held by 91 WorldCat member libraries worldwide
10 editions published in 2009 in English and held by 91 WorldCat member libraries worldwide
Common trends in mathematics and quantum field theories : 1990 Yukawa International Seminar : School: Kansai Seminar House,
Kyoto, Japan, May 1016, 1990 : Workshop: RIMS, Kyoto University, Japan, May 1719, 1990 by Yukawa International Seminar(
Book
)
2 editions published in 1991 in English and held by 16 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 16 WorldCat member libraries worldwide
Golonomnye kvantovye polja sbornik statej by M Sato(
Book
)
1 edition published in 1983 in Russian and held by 7 WorldCat member libraries worldwide
1 edition published in 1983 in Russian and held by 7 WorldCat member libraries worldwide
Field theory of the 2dimensional Ising model in the scaling limit by Mikio Sato(
Book
)
3 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
The integral formula for the solutions of the quantum KnizhnikZamolodchikov equation associated with U[subscript q](ŝl[subscript
n]) for [absolute value of q] = 1 by
T Miwa(
Book
)
4 editions published in 1999 in English and held by 6 WorldCat member libraries worldwide
Abstract: "We write the integral formula of TarasovVarchenko type for the solutions to the quantum KnizhnikZamolodchikov equation associated with a tensor product of the vector representations of sl[subscript n]. We consider the case where the deformation parameter q satisfies [absolute value of q] = 1. We use the bosonization of the type II vertex operators in order to find the hypergeometric pairing in this setting."
4 editions published in 1999 in English and held by 6 WorldCat member libraries worldwide
Abstract: "We write the integral formula of TarasovVarchenko type for the solutions to the quantum KnizhnikZamolodchikov equation associated with a tensor product of the vector representations of sl[subscript n]. We consider the case where the deformation parameter q satisfies [absolute value of q] = 1. We use the bosonization of the type II vertex operators in order to find the hypergeometric pairing in this setting."
Soriton no sūri(
Book
)
5 editions published between 1993 and 2007 in Japanese and held by 5 WorldCat member libraries worldwide
5 editions published between 1993 and 2007 in Japanese and held by 5 WorldCat member libraries worldwide
Nonlinear integrable systems : Classical theory and quantum theory : proceedings of RIMS symposium(
Book
)
2 editions published in 1983 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1983 in English and held by 5 WorldCat member libraries worldwide
The monodromy matrices of the XXZ model in the infinite volume limit by
T Miwa(
Book
)
2 editions published in 1997 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We consider the XXZ model in the infinite volume limit with spin 1/2 quantum space and higher spin auxiliary space. Using perturbation theory arguments, we relate the half infinite transfer matrices of this class of models to certain U[subscript q](ŝl₂) intertwiners introduced by Nakayashiki. We construct the monodromy matrices, and show that the one with spin 1 auxiliary space gives rise to the L operator."
2 editions published in 1997 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We consider the XXZ model in the infinite volume limit with spin 1/2 quantum space and higher spin auxiliary space. Using perturbation theory arguments, we relate the half infinite transfer matrices of this class of models to certain U[subscript q](ŝl₂) intertwiners introduced by Nakayashiki. We construct the monodromy matrices, and show that the one with spin 1 auxiliary space gives rise to the L operator."
Extended vertex operator algebras and monomial bases by
Boris L Feigin(
Book
)
2 editions published between 1998 and 1999 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We present a vertex operator algebra which is an extension of the level k vertex operator algebra for the ŝl₂ conformal field theory. We construct monomial basis of its irreducible representations."
2 editions published between 1998 and 1999 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We present a vertex operator algebra which is an extension of the level k vertex operator algebra for the ŝl₂ conformal field theory. We construct monomial basis of its irreducible representations."
Vertex operator algebra arising from the minimal series M(3,p) and monomial basis by
Boris L Feigin(
Book
)
2 editions published between 2000 and 2001 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We study a vertex operator algebra (VOA) V related to the M(3,p) Virasoro minimal series. This VOA reduces in the simplest case p = 4 to the level two integrable vacuum module of ŝl₂. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of ŝl₂. Our main concern is the subspace W generated by this action from the highest weight vector of V. Using the Fourier components of a(z), we present a monomial basis of W and a semiinfinite monomial basis of V. We also give a Gordon type formula for their characters."
2 editions published between 2000 and 2001 in English and held by 3 WorldCat member libraries worldwide
Abstract: "We study a vertex operator algebra (VOA) V related to the M(3,p) Virasoro minimal series. This VOA reduces in the simplest case p = 4 to the level two integrable vacuum module of ŝl₂. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of ŝl₂. Our main concern is the subspace W generated by this action from the highest weight vector of V. Using the Fourier components of a(z), we present a monomial basis of W and a semiinfinite monomial basis of V. We also give a Gordon type formula for their characters."
Golonomnye kvantovye poli︠a︡ : sbornik stateĭ by
Mikio Satō(
Book
)
2 editions published in 1983 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1983 in Russian and held by 3 WorldCat member libraries worldwide
ICM90 Satellite Conference Proceedings Special Functions by
Masaki Kashiwara(
)
3 editions published in 1991 in English and held by 0 WorldCat member libraries worldwide
3 editions published in 1991 in English and held by 0 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Kashiwara, Masaki 1947 Honoree Author Editor
 Jimbo, M. (Michio) Author Editor
 Jimbo, M. (Michio) Author Editor
 Tsuchiya, A. (Akihiro) 1943 Editor
 Date, E. (Etsuro) Author
 Conference Board of the Mathematical Sciences Other Editor
 Kyōto Daigaku Sūri Kaiseki Kenkyūjo
 Satō, Mikio 1928 Author Editor
 McCoy, Barry M. Other Honoree
 Reid, Miles Translator
Useful Links
Associated Subjects
Algebra Clifford algebras Combinatorial analysis Conformal invariants Differentialdifference equations EquationsNumerical solutions Evolution equations, Nonlinear Fourier analysis Functions, Special Global analysis (Mathematics) Green's functions Group theory Integral equations Ising model Kortewegde Vries equation Lattice dynamics Lattice theory Lie algebras Mathematical analysis Mathematical physics Mathematics Matrices Nonlinear integral equations Nonlinear theories Perturbation (Mathematics) Quantum field theory Quantum theory Representations of algebras Solitons SolitonsMathematics Statistical mechanics Vertex operator algebras