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1.

図書

図書
Henrik Aratyn ... [et al.] (eds.)
出版情報: Berlin ; New York : Springer, c1998  xi, 379 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 502
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2.

図書

図書
editors, H. -D. Doebner, P. Nattermann, W. Scherer
出版情報: Singapore : World Scientific, 1997  2 v. ; 24 cm
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3.

図書

図書
Michel C. Delfour, editor
出版情報: Providence, RI : American Mathematical Society, c1998  xii, 343 p. ; 26 cm
シリーズ名: CRM proceedings & lecture notes ; v. 13
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目次情報: 続きを見る
The transition to turbulence via turbulent bursts / K. Coughlin
Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells / M. C. Delfour
Shape analysis via distance functions: Local theory / J.-P. Zolesio.
Six lectures on shape memory / I. Muller
Six lectures on superconductivity / J. Rubinstein
Front propagation / H. M. Soner
Six talks on hysteresis / A. Visintin
Dynamic metastability and singular perturbations / M. J. Ward
Dendrites, fingers, interfaces and free boundaries / J.-J. Xu
The transition to turbulence via turbulent bursts / K. Coughlin
Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells / M. C. Delfour
Shape analysis via distance functions: Local theory / J.-P. Zolesio.
4.

図書

図書
A.Yu. Morozov, M.A. Olshanetsky, editors
出版情報: Providence, R.I. : American Mathematical Society, c1999-  v. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 191, v. 221 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 43, 60
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目次情報: 続きを見る
Hecke-Tyurin parametrization of the Hitchin and KZB systems / B. Enriquez ; V. Rubtsov
Combinatorics and geometry of higher level Weyl modules / B. Feigin ; A. N. Kirillov ; S. Loktev
Cosh-Gordon equation and quasi-Fuchsian groups / V. V. Fock
On a class of representations of quantum groups and its applications / A. Gerasimov ; S. Kharchev ; D. Lebedev ; S. Oblezin
On syzygies of highest weight orbits / A. L. Gorodentsev ; A. S. Khoroshkin ; A. N. Rudakov
On finest and modular t-stabilities / S. A. Kuleshov
Hochschild homology and Gabber's theorem / D. Kaledin
Method of projections of Drinfeld currents / S. Khoroshkin ; S. Pakuliak
On rational and elliptic forms and Painleve VI equation / A. Levin ; A. Zotov
Determinantal point processes and fermionic Fock space / Y. A. Neretin
On adelic model of boson Fock space
Hypercomplex manifolds with trivial canonical bundle and their holonomy / M. Verbitsky
Hecke-Tyurin parametrization of the Hitchin and KZB systems / B. Enriquez ; V. Rubtsov
Combinatorics and geometry of higher level Weyl modules / B. Feigin ; A. N. Kirillov ; S. Loktev
Cosh-Gordon equation and quasi-Fuchsian groups / V. V. Fock
5.

図書

図書
editors Boris N. Apanasov ... [et al.]
出版情報: Berlin : Walter de Gruyter, 1997  xii, 348 p. ; 25 cm
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6.

図書

図書
edited by Alexander G. Ramm
出版情報: New York : Plenum Press, c1998  viii, 207 p. ; 26 cm
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7.

図書

図書
Masaki Kashiwara ... [et al.], editors
出版情報: Boston : Birkhäuser, c1998  vi, 493 p. ; 25 cm
シリーズ名: Progress in mathematics ; vol. 160
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8.

図書

図書
edited by A. Comtet, T. Jolicœur, S. Ouvry and F. David
出版情報: Berlin : Springer in cooperation with the NATO Scientific Affair Division , Les Ulis : EDP sciences, 1999  xxxiv, 909 p. ; 23 cm
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目次情報: 続きを見る
Lecturers
Participants
Préface
Preface
Contents
Electrons in a Flatland / M. ShayeganCourse 1:
Introduction / 1:
Samples and measurements / 2:
2D electrons at the GaAs/AlGaAs interface / 2.1:
Magnetotransport measurement techniques / 2.2:
Ground states of the 2D System in a strong magnetic field / 3:
Shubnikov-de Haas oscillations and the IQHE / 3.1:
FQHE and Wigner crystal / 3.2:
Composite fermions / 4:
Ferromagnetic state at ν = 1 and Skyrmions / 5:
Correlated bilayer electron states / 6:
Overview / 6.1:
Electron System in a wide, single, quantum well / 6.2:
Evolution of the QHE states in a wide quantum well / 6.3:
Evolution of insulating phases / 6.4:
Many-body, bilayer QHE at ν = 1 / 6.5:
Spontaneous interlayer Charge transfer / 6.6:
Summary / 6.7:
The Quantum Hall Effect: Novel Excitations and Broken Symmetries / S.M.GirvinCourse 2:
The quantum Hall effect
Why 2D is important / 1.1:
Constructing the 2DEG / 1.3:
Why is disorder and localization important? / 1.4:
Classical dynamics / 1.5:
Semi-classical approximation / 1.6:
Quantum dynamics in strong B Fields / 1.7:
IQHE edge states / 1.8:
Semiclassical percolation picture / 1.9:
Fractional QHE / 1.10:
The ν = 1 many-body state / 1.11:
Neutral collective excitations / 1.12:
Charged excitations / 1.13:
FQHE edge states / 1.14:
Quantum hall ferromagnets / 1.15:
Coulomb exchange / 1.16:
Spin wave excitations / 1.17:
Effective action / 1.18:
Topological excitations / 1.19:
Skyrmion dynamics / 1.20:
Skyrme lattices / 1.21:
Double-layer quantum Hall ferromagnets / 1.22:
Pseudospin analogy / 1.23:
Experimental background / 1.24:
Interlayer phase coherence / 1.25:
Interlayer tunneling and tilted field effects / 1.26:
Lowest Landau level projection / Appendix A:
Berry's phase and adiabatic transport / Appendix B:
Aspects of Chern-Simons Theory / G.V.DunneCourse 3:
Basics of planar field theory
Chern-Simons coupled to matter fields - "anyons"
Maxwell-Chern-Simons: Topologically massive gauge theory
Fermions in 2 + 1-dimensions / 2.3:
Discrete symmetries: <$>{\cal P}, {\cal C}<$> and <$>{\cal T}<$> / 2.4:
Poincaré algebra in 2 + 1-dimensions / 2.5:
Nonabelian Chern-Simons theories / 2.6:
Canonical quantization of Chern-Simons theories
Canonical structure of Chern-Simons theories
Chern-Simons quantum mechanics
Canonical quantization of abelian Chern-Simons theories / 3.3:
Quantization on the torus and magnetic translations / 3.4:
Canonical quantization of nonabelian Chern-Simons theories / 3.5:
Chern-Simons theories with boundary / 3.6:
Chern-Simons vortices
Abelian-Higgs model and Abrikosov-Nielsen-Olesen vortices / 4.1:
Relativistic Chern-Simons vortices / 4.2:
NonabelianrelativisticChern-Simonsvortices / 4.3:
Nonrelativistic Chern-Simons vortices: Jackiw-Pi model / 4.4:
NonabeliannonrelativisticChern-Simonsvortices / 4.5:
Vortices in the Zhang-Hansson-Kivelson model for FQHE / 4.6:
Vortex dynamics / 4.7:
Induced Chern-Simons terms
Perturbatively induced Chern-Simons terms: Fermion loop / 5.1:
Induced currents and Chern-Simons terms / 5.2:
Induced Chern-Simons terms without fermions / 5.3:
A finite temperature puzzle / 5.4:
Quantum mechanical finite temperature model / 5.5:
Exact finite temperature 2 + 1 effective actions / 5.6:
Finite temperature perturbation theory and Chern-Simons terms / 5.7:
Anyons / J. MyrheimCourse 4:
The concept of particle statistics
Statistical mechanics and the many-body problem
Experimental physics in two dimensions
The algebraic approach: Heisenberg quantization
More general quantizations
The configuration space
The Euclidean relative space for two particles
Dimensions d = 1, 2, 3
Homotopy
The braid group
Schrödinger quantization in one dimension
Heisenberg quantization in one dimension
The coordinate representation
Schrödinger quantization in dimension d ≥ 2
Scalar wave functions
Interchange phases
The statistics vector potential
The N-particle case
Chern-Simons theory
The Feynman path integral for anyons
Eigenstates for Position and momentum
The path integral
Conjugation classes in SN
The non-interacting case
Duality of Feynman and Schrödinger quantization
The harmonic oscillator / 7:
The two-dimensional harmonic oscillator / 7.1:
Two anyons in a harmonic oscillator potential / 7.2:
More than two anyons / 7.3:
The three-anyon problem / 7.4:
The anyon gas / 8:
The cluster and virial expansions / 8.1:
First and second order perturbative results / 8.2:
Regularization by periodic boundary conditions / 8.3:
Regularization by a harmonic oscillator potential / 8.4:
Bosons and fermions / 8.5:
Two anyons / 8.6:
Three anyons / 8.7:
The Monte Carlo method / 8.8:
The path integral representation of the coefficients <$>G_{\cal P}<$> / 8.9:
Exact and approximate polynomials / 8.10:
The fourth virial coefficient of anyons / 8.11:
Two polynomial theorems / 8.12:
Charged particles in a constant magnetic field / 9:
One particle in a magnetic field / 9.1:
Two anyons in a magnetic field / 9.2:
The anyon gas in a magnetic field / 9.3:
Interchange phases and geometric phases / 10:
Introduction to geometric phases / 10.1:
Two particles in a magnetic field / 10.2:
Interchange of two anyons in potential wells / 10.4:
Laughlin's theory of the fractional quantum Hall effect / 10.5:
Generalized Statistics in One Dimension / A.P. PolychronakosCourse 5:
Permutation group approach
Realization of the reduced Hilbert space
Path integral and generalized statistics
Cluster decomposition and factorizability
One-dimensional systems: Calogero model
The Calogero-Sutherland-Moser model
Large-N properties of the CSM model and duality
One-dimensional systems: Matrix model
Hermitian matrix model
The unitary matrix model
Quantization and spectrum
Reduction to spin-particle systems
Operator approaches
Exchange operator formalism
Systems with internal degrees of freedom
Asymptotic Bethe ansatz approach
The freezing trick and spin models
Exclusion statistics
Motivation from the CSM model
Semiclassics - Heuristics
Exclusion statistical mechanics
Exclusion statistics path integral
Is this the only "exclusion" statistics?
Epilogue
Lectures on Non-perturbative Field Theory and Quantum Impurity Problems / H.SaleurCourse 6:
Some notions of conformal field theory
The free boson via path integrals
Normal ordering and OPE
The stress energy tensor
Conformal in(co)variance
Some remarks on Ward identities in QFT
The Virasoro algebra: Intuitive introduction
Cylinders
The free boson via Hamiltonians
Modular invariance
Conformal invariance analysis of quantum impurity fixed points
Boundary conformal field theory
Partition functions and boundary states
Boundary entropy
The boundary sine-Gordon model: General results
The model and the flow
Perturbation near the UV fixed point
Perturbation near the IR fixed point
An alternative to the instanton expansion: The conformal invariance analysis
Search for integrability: Classical analysis
Quantum integrability
Conformal perturbation theory
S-matrices
Back to the boundary sine-Gordon model
The thermodynamic Bethe-ansatz: The gas of particles with "Yang-Baxter statistics"
Zamolodchikov Fateev algebra
The TBA
A Standard computation: The central Charge
Thermodynamics of the flow between N and D fixed points
Using the TBA to compute static transport properties
Tunneling in the FQHE
Conductance without impurity
Conductance with impurity
Quantum Partition Noise and the Detection of Fractionally Charged Laughlin Quasiparticles / D.C. GlattliSeminar 1:
Partition noise in quantum conductors
Quantum partition noise
Partition noise and quantum statistics
Quantum conductors reach the partition noise limit
Experimental evidences of quantum partition noise in quantum conductors
Partition noise in the quantum Hall regime and determination of the fractional Charge
Edge states in the integer quantum Hall effect regime
Tunneling between IQHE edge channels and partition noise
Edge channels in the fractional regime
Noise predictions in the fractional regime
Measurement of the fractional Charge using noise
Beyond the Poissonian noise of fractional charges
Mott Insulators, Spin Liquids and Quantum Disordered Superconductivity / Matthew P.A. FisherCourse 7:
Models and metals
Noninteracting electrons
Interaction effects
Mott insulators and quantum magnetism
Spin models and quantum magnetism
Spin liquids
Bosonization primer
2 Leg Hubbard ladder
Bonding and antibonding bands
Interactions
Bosonization
d-Mott phase
Symmetry and doping
d-Wave superconductivity
BGS theory re-visited
d-wave symmetry
Continuum description of gapless quasiparticles
Effective field theory
Quasiparticles and phase flucutations
Nodons
Vortices
ic/2e versus hc/e vortices
Duality
Nodal liquid phase
Half-filling
Doping the nodal liquid
Closing remarks
Lattice duality
Two dimensions / A.1:
Three dimensions / A.2:
Statistics of Knots and Entangled Random Walks / S. NechaevCourse 8:
Lecturers
Participants
Préface
9.

図書

図書
edited by Anne Boutet de Monvel and Vladimir Marchenko
出版情報: Dordrecht ; Boston : Kluwer, c1996  xiv, 476 p. ; 25 cm
シリーズ名: Mathematical physics studies ; v. 19
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10.

図書

図書
Gülen Aktaş, Cihan Saçlioğlu, Meral Serdaroğlu (eds.)
出版情報: Berlin : Springer-Verlag, c1995  xiv, 389 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 447
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