[PDF] Top 20 On a systematic approach to defects in classical integrable field theories
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On a systematic approach to defects in classical integrable field theories
... of defects, or impurities, in integrable systems has quite a rich literature, es- pecially for quantum aspects [1, 2, 3, 4, 6, 7, 8, 9], even if quite a lot remains to be ...of integrable ... See full document
27
Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models
... nonlinear integrable partial differential field equa- tions allow for the introduction of certain special types of discontinuity, or ‘defect’, that do not appear to violate ...the field (or, more ... See full document
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The quench map in an integrable classical field theory: nonlinear Schrödinger equation
... the classical analog of these overlaps can likewise be subject to a general ...this classical analogue the notion of quench map, that captures the essence of the quench problem in classical ... See full document
37
Multisymplectic approach to integrable defects in the sine-Gordon model
... acklund approach and the ”sewing conditions” ...of classical field theories with a ...of integrable field theory: the sine-Gordon ...relativistic integrable field ... See full document
23
Multisymplectic approach to integrable defects in the sine-Gordon model
... This approach triggered a strong activity in the analysis of the defect in integrable classical field ...AKNS approach [14] to obtain a generating function of the entire set of modified ... See full document
24
The Quench Map in an Integrable Classical Field Theory: Nonlinear Schrödinger Equation
... the classical analog of these overlaps can likewise be subject to a general ...this classical analogue the notion of quench map, that captures the essence of the quench problem in classical ... See full document
35
Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
... dimensional integrable theories, the n-particle scattering matrix factories into two particle S-matrices and the approach, now usually referred to as the bootstrap program, reveals its full ...this ... See full document
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Negative energy densities in integrable quantum field theories at one-particle level
... such integrable quantum field ...a classical Lagrangian, derives the two-particle scattering function S from there, and then constructs local operators (quantum fields) by their matrix elements in ... See full document
21
A multisymplectic approach to defects in integrable classical field theory
... Let us remark that we have three related interpretations for an integrable defect, each of which having its advantages, that are now unified in our picture. Historically, in the Lagrangian appraoch of [18, 19], ... See full document
21
A multisymplectic approach to defects in integrable classical field theory
... However, there still exist two points of view, that have not been reconciled so far. On the one hand, the defect matrix (or operator) may be given as a B¨ acklund matrix involving the values of the fields at the defect ... See full document
20
Theories of the Ideal . Classical theories of ionic solutions are of limited use because they stem
... the field equations will be incorrect, albeit self-consistent ...The field equations of a variational theory will always be consistent mathematically, but they will be consistent physically only if they ... See full document
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A New Approach to Classical Electrodynamics: Covariant Second Order Field Variations
... usual field and energy-momentum tensors, and u i is the four-velocity associated with ...electromagnetic field is shown to obey the Lorentz force law, where the mass is equivalent to the total energy of the ... See full document
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Note on the 3-Graded Modified Classical Yang-Baxter Equations and Integrable Systems
... Note that the product Eq.(5) carries a conformal spin structure since from dimensional arguments, it behaves as an object of conformal weight ∆R〈, 〉S = −1 . Latter on we will introduce a combined scalar product 〈〈, 〉〉 ... See full document
7
From Hamiltonian to zero curvature formulation for classical integrable boundary conditions
... in classical integrable systems is far from being an issue and has long been identified as one of the crucial aspect of the theory: there is a natural connection between the two pictures and one can speak ... See full document
14
1.2 CLASSICAL THEORIES OF CHEMICAL BONDING
... In the previous examples, all valence electrons of the bonded atoms are shared. In the water molecule, oxygen has six valence electrons. Two of these combine with hydrogens to make two O[r] ... See full document
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Two rival programmes in 19th century classical electrodynamics action at a distance versus field theories
... TWO RIVAL PROGRAMMES IN 19th CENTURY CLASSICAL ELECTRODYNAMICS ACTION AT A DISTANCE VERSUS FIELD THEORIES This thesis is submitted for the degree of DOCTOR of PHILOSOPHY , by HAWORTH MARTIN HARROP FRI[.] ... See full document
302
Toward realistic integrable gauge theories and conformal gravity in twistor strings
... gravity field theories [36, 37] provided early examples of finite field the- ories of gravity [38, ...unitary theories, but have interesting structure and continue to provoke comments about ... See full document
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Viscosity of Nanofluids Why It Is Not Described by the Classical Theories
... perimental and theoretical studies have focused on the thermal conductivity and viscosity of nanofluids. The vis- cosity of nanofluids is of great significance as the appli- cation of nanofluids is always associated with ... See full document
14
Developing a systematic approach towards Impact field research
... This approach towards integrating CPD teaching and learning with new professional-led practice based research that delivers impact evidences for evaluation and ownership by the teaching profession is considered as ... See full document
11
Classical Electromagnetic Theory Revisiting: The A M Ampere Law and the Vacuum Field Theory Approach
... (electric field) E does not depend upon (magnetic field ) B and vice ...electric field E and the magnetic field B directly follow from the classical retarded Lienard-Wiechert ... See full document
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