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Generalized Feynman Amplitudes. (AM-62), Volume 62 / / Eugene R. Speer
Generalized Feynman Amplitudes. (AM-62), Volume 62 / / Eugene R. Speer
Autore Speer Eugene R.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (233 pages)
Disciplina 530.14/3
Collana Annals of Mathematics Studies
Soggetto topico Mathematical physics
Quantum field theory
Soggetto non controllato Addition
Adjoint
Amplitude
Analytic continuation
Analytic function
Antiparticle
C-number
Calculation
Change of variables
Classical electromagnetism
Coefficient
Commutative property
Compact space
Complex analysis
Complex number
Connectivity (graph theory)
Constant term
Convolution
Derivative
Diagram (category theory)
Differentiable function
Distribution (mathematics)
Equation
Estimation
Explicit formulae (L-function)
Fermion
Fock space
Formal power series
Fourier transform
Free field
Gauge theory
Graph theory
Hilbert space
Incidence matrix
Interaction picture
Invertible matrix
Irreducibility (mathematics)
Isolated singularity
Lagrangian (field theory)
Laurent series
Mathematical induction
Mathematics
Momentum
Monomial
Multiple integral
National Science Foundation
Notation
Parameter
Path integral formulation
Permutation
Polynomial
Power series
Probability
Propagator
Quadratic form
Quantity
Quantum field theory
Remainder
Renormalization
Requirement
S-matrix
Scattering amplitude
Scientific notation
Second quantization
Several complex variables
Simple extension
Special case
Subset
Subtraction
Suggestion
Summation
Taylor series
Tensor product
Theorem
Theory
Topological space
Translational symmetry
Tree (data structure)
Uniform convergence
Vacuum expectation value
Vacuum state
Vacuum
Variable (mathematics)
Vector field
Vector potential
Wick's theorem
Z0
ISBN 1-4008-8186-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY
Record Nr. UNINA-9910154752403321
Speer Eugene R.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
Autore Morgan John W. <1946->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (138 p.)
Disciplina 514/.2
Collana Mathematical Notes
Soggetto topico Four-manifolds (Topology)
Seiberg-Witten invariants
Mathematical physics
Soggetto non controllato Affine space
Affine transformation
Algebra bundle
Algebraic surface
Almost complex manifold
Automorphism
Banach space
Clifford algebra
Cohomology
Cokernel
Complex dimension
Complex manifold
Complex plane
Complex projective space
Complex vector bundle
Complexification (Lie group)
Computation
Configuration space
Conjugate transpose
Covariant derivative
Curvature form
Curvature
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac equation
Dirac operator
Division algebra
Donaldson theory
Duality (mathematics)
Eigenvalues and eigenvectors
Elliptic operator
Elliptic surface
Equation
Fiber bundle
Frenet–Serret formulas
Gauge fixing
Gauge theory
Gaussian curvature
Geometry
Group homomorphism
Hilbert space
Hodge index theorem
Homology (mathematics)
Homotopy
Identity (mathematics)
Implicit function theorem
Intersection form (4-manifold)
Inverse function theorem
Isomorphism class
K3 surface
Kähler manifold
Levi-Civita connection
Lie algebra
Line bundle
Linear map
Linear space (geometry)
Linearization
Manifold
Mathematical induction
Moduli space
Multiplication theorem
Neighbourhood (mathematics)
One-form
Open set
Orientability
Orthonormal basis
Parameter space
Parametric equation
Parity (mathematics)
Partial derivative
Principal bundle
Projection (linear algebra)
Pullback (category theory)
Quadratic form
Quaternion algebra
Quotient space (topology)
Riemann surface
Riemannian manifold
Sard's theorem
Sign (mathematics)
Sobolev space
Spin group
Spin representation
Spin structure
Spinor field
Subgroup
Submanifold
Surjective function
Symplectic geometry
Symplectic manifold
Tangent bundle
Tangent space
Tensor product
Theorem
Three-dimensional space (mathematics)
Trace (linear algebra)
Transversality (mathematics)
Two-form
Zariski tangent space
ISBN 1-4008-6516-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography
Record Nr. UNINA-9910786749103321
Morgan John W. <1946->  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
Autore Morgan John W. <1946->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (138 p.)
Disciplina 514/.2
Collana Mathematical Notes
Soggetto topico Four-manifolds (Topology)
Seiberg-Witten invariants
Mathematical physics
Soggetto non controllato Affine space
Affine transformation
Algebra bundle
Algebraic surface
Almost complex manifold
Automorphism
Banach space
Clifford algebra
Cohomology
Cokernel
Complex dimension
Complex manifold
Complex plane
Complex projective space
Complex vector bundle
Complexification (Lie group)
Computation
Configuration space
Conjugate transpose
Covariant derivative
Curvature form
Curvature
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac equation
Dirac operator
Division algebra
Donaldson theory
Duality (mathematics)
Eigenvalues and eigenvectors
Elliptic operator
Elliptic surface
Equation
Fiber bundle
Frenet–Serret formulas
Gauge fixing
Gauge theory
Gaussian curvature
Geometry
Group homomorphism
Hilbert space
Hodge index theorem
Homology (mathematics)
Homotopy
Identity (mathematics)
Implicit function theorem
Intersection form (4-manifold)
Inverse function theorem
Isomorphism class
K3 surface
Kähler manifold
Levi-Civita connection
Lie algebra
Line bundle
Linear map
Linear space (geometry)
Linearization
Manifold
Mathematical induction
Moduli space
Multiplication theorem
Neighbourhood (mathematics)
One-form
Open set
Orientability
Orthonormal basis
Parameter space
Parametric equation
Parity (mathematics)
Partial derivative
Principal bundle
Projection (linear algebra)
Pullback (category theory)
Quadratic form
Quaternion algebra
Quotient space (topology)
Riemann surface
Riemannian manifold
Sard's theorem
Sign (mathematics)
Sobolev space
Spin group
Spin representation
Spin structure
Spinor field
Subgroup
Submanifold
Surjective function
Symplectic geometry
Symplectic manifold
Tangent bundle
Tangent space
Tensor product
Theorem
Three-dimensional space (mathematics)
Trace (linear algebra)
Transversality (mathematics)
Two-form
Zariski tangent space
ISBN 1-4008-6516-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography
Record Nr. UNINA-9910828604403321
Morgan John W. <1946->  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
Autore Kamvissis Spyridon
Edizione [Course Book]
Pubbl/distr/stampa Princeton, NJ, : Princeton University Press, c2003
Descrizione fisica 1 online resource (280 p.)
Disciplina 530.12/4
Altri autori (Persone) McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David)
Collana Annals of mathematics studies
Soggetto topico Schrodinger equation
Wave mechanics
Soggetto non controllato Abelian integral
Analytic continuation
Analytic function
Ansatz
Approximation
Asymptote
Asymptotic analysis
Asymptotic distribution
Asymptotic expansion
Banach algebra
Basis (linear algebra)
Boundary (topology)
Boundary value problem
Bounded operator
Calculation
Cauchy's integral formula
Cauchy's integral theorem
Cauchy's theorem (geometry)
Cauchy–Riemann equations
Change of variables
Coefficient
Complex plane
Cramer's rule
Degeneracy (mathematics)
Derivative
Diagram (category theory)
Differentiable function
Differential equation
Differential operator
Dirac equation
Disjoint union
Divisor
Eigenfunction
Eigenvalues and eigenvectors
Elliptic integral
Energy minimization
Equation
Euler's formula
Euler–Lagrange equation
Existential quantification
Explicit formulae (L-function)
Fourier transform
Fredholm theory
Function (mathematics)
Gauge theory
Heteroclinic orbit
Hilbert transform
Identity matrix
Implicit function theorem
Implicit function
Infimum and supremum
Initial value problem
Integrable system
Integral curve
Integral equation
Inverse problem
Jacobian matrix and determinant
Kerr effect
Laurent series
Limit point
Line (geometry)
Linear equation
Linear space (geometry)
Logarithmic derivative
Lp space
Minor (linear algebra)
Monotonic function
Neumann series
Normalization property (abstract rewriting)
Numerical integration
Ordinary differential equation
Orthogonal polynomials
Parameter
Parametrix
Paraxial approximation
Parity (mathematics)
Partial derivative
Partial differential equation
Perturbation theory (quantum mechanics)
Perturbation theory
Pole (complex analysis)
Polynomial
Probability measure
Quadratic differential
Quadratic programming
Radon–Nikodym theorem
Reflection coefficient
Riemann surface
Simultaneous equations
Sobolev space
Soliton
Special case
Taylor series
Theorem
Theory
Trace (linear algebra)
Upper half-plane
Variational method (quantum mechanics)
Variational principle
WKB approximation
ISBN 1-299-44345-1
1-4008-3718-9
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index
Record Nr. UNINA-9910791959003321
Kamvissis Spyridon  
Princeton, NJ, : Princeton University Press, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
Autore Kamvissis Spyridon
Edizione [Course Book]
Pubbl/distr/stampa Princeton, NJ, : Princeton University Press, c2003
Descrizione fisica 1 online resource (280 p.)
Disciplina 530.12/4
Altri autori (Persone) McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David)
Collana Annals of mathematics studies
Soggetto topico Schrodinger equation
Wave mechanics
Soggetto non controllato Abelian integral
Analytic continuation
Analytic function
Ansatz
Approximation
Asymptote
Asymptotic analysis
Asymptotic distribution
Asymptotic expansion
Banach algebra
Basis (linear algebra)
Boundary (topology)
Boundary value problem
Bounded operator
Calculation
Cauchy's integral formula
Cauchy's integral theorem
Cauchy's theorem (geometry)
Cauchy–Riemann equations
Change of variables
Coefficient
Complex plane
Cramer's rule
Degeneracy (mathematics)
Derivative
Diagram (category theory)
Differentiable function
Differential equation
Differential operator
Dirac equation
Disjoint union
Divisor
Eigenfunction
Eigenvalues and eigenvectors
Elliptic integral
Energy minimization
Equation
Euler's formula
Euler–Lagrange equation
Existential quantification
Explicit formulae (L-function)
Fourier transform
Fredholm theory
Function (mathematics)
Gauge theory
Heteroclinic orbit
Hilbert transform
Identity matrix
Implicit function theorem
Implicit function
Infimum and supremum
Initial value problem
Integrable system
Integral curve
Integral equation
Inverse problem
Jacobian matrix and determinant
Kerr effect
Laurent series
Limit point
Line (geometry)
Linear equation
Linear space (geometry)
Logarithmic derivative
Lp space
Minor (linear algebra)
Monotonic function
Neumann series
Normalization property (abstract rewriting)
Numerical integration
Ordinary differential equation
Orthogonal polynomials
Parameter
Parametrix
Paraxial approximation
Parity (mathematics)
Partial derivative
Partial differential equation
Perturbation theory (quantum mechanics)
Perturbation theory
Pole (complex analysis)
Polynomial
Probability measure
Quadratic differential
Quadratic programming
Radon–Nikodym theorem
Reflection coefficient
Riemann surface
Simultaneous equations
Sobolev space
Soliton
Special case
Taylor series
Theorem
Theory
Trace (linear algebra)
Upper half-plane
Variational method (quantum mechanics)
Variational principle
WKB approximation
ISBN 1-299-44345-1
1-4008-3718-9
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index
Record Nr. UNINA-9910822848003321
Kamvissis Spyridon  
Princeton, NJ, : Princeton University Press, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui