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Lecture notes in applied differential equations of mathematical physics [[electronic resource] /] / Luiz C.L. Botelho
| Lecture notes in applied differential equations of mathematical physics [[electronic resource] /] / Luiz C.L. Botelho |
| Autore | Botelho Luiz C. L |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (340 p.) |
| Disciplina | 530.15535 |
| Soggetto topico |
Differential equations
Functional analysis Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-281-458-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Contents; Chapter 1. Elementary Aspects of Potential Theory in Mathematical Physics; 1.1. Introduction; 1.2. The Laplace Differential Operator and the Poisson-Dirichlet Potential Problem; 1.3. The Dirichlet Problem in Connected Planar Regions: A Conformal Transformation Method for Green Functions in String Theory; 1.4. Hilbert Spaces Methods in the Poisson Problem; 1.5. The Abstract Formulation of the Poisson Problem; 1.6. Potential Theory for the Wave Equation in R3 - Kirchho. Potentials (Spherical Means); 1.7. The Dirichlet Problem for the Diffusion Equation - Seminar Exercises
1.8. The Potential Theory in Distributional Spaces - The Gelfand-ChilovMethodReferences; Appendix A. Light Deflection on de-Sitter Space; A.1.The Light Deflection; A.2.The Trajectory Motion Equations; A.3. On the Topology of the Euclidean Space-Time; Chapter 2. Scattering Theory in Non-Relativistic One-Body Short-Range Quantum Mechanics: M ̈oller Wave Operators and Asymptotic Completeness; 2.1. The Wave Operators in One-Body Quantum Mechanics; 2.2. Asymptotic Properties of States in the Continuous Spectra of the Enss Hamiltonian 2.3. The Enss Proof of the Non-Relativistic One-Body QuantumMechanical ScatteringReferences; Appendix A; Appendix B; Appendix C; Chapter 3. On the Hilbert Space Integration Method for the Wave Equation and Some Applications to Wave Physics; 3.1. Introduction; 3.2. The Abstract Spectral Method - The Nondissipative Case; 3.3. The Abstract Spectral Method - The Dissipative Case; 3.4. The Wave Equation "Path-Integral" Propagator; 3.5. On The Existence of Wave-Scattering Operators; 3.6. Exponential Stability in Two-Dimensional Magneto-Elasticity: A Proof on a Dissipative Medium 3.7. An Abstract Semilinear Klein Gordon Wave Equation - Existence and UniquenessReferences; Appendix A. Exponential Stability in Two-Dimensional Magneto-Elastic: Another Proof; Appendix B. Probability Theory in Terms of Functional Integrals and theMinlos Theorem; Chapter 4. Nonlinear Di.usion and Wave-Damped Propagation: Weak Solutions and Statistical Turbulence Behavior.; 4.1. Introduction; 4.2. The Theorem for Parabolic Nonlinear Diffusion; 4.3. The Hyperbolic Nonlinear Damping; 4.4. A Path-Integral Solution for the Parabolic Nonlinear Diffusion 4.5. Random Anomalous Diffuusion, A Semigroup ApproachReferences; Appendix A; Appendix B; Appendix C; Appendix D. Probability Theory in Terms of Functional Integrals and the Minlos Theorem - An Overview; Chapter 5. Domains of Bosonic Functional Integrals and Some Applications to the Mathematical Physics of Path-Integrals and String Theory; 5.1. Introduction; 5.2. The Euclidean Schwinger Generating Functional as a Functional Fourier Transform; 5.3. The Support of Functional Measures - The Minlos Theorem; 5.4. Some Rigorous Quantum Field Path-Integral in the Analytical Regularization Scheme 5.5. Remarks on the Theory of Integration of Functionals on Distributional Spaces and Hilbert-Banach Spaces |
| Record Nr. | UNINA-9910455545103321 |
Botelho Luiz C. L
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lecture notes in applied differential equations of mathematical physics [[electronic resource] /] / Luiz C.L. Botelho
| Lecture notes in applied differential equations of mathematical physics [[electronic resource] /] / Luiz C.L. Botelho |
| Autore | Botelho Luiz C. L |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (340 p.) |
| Disciplina | 530.15535 |
| Soggetto topico |
Differential equations
Functional analysis Mathematical physics |
| ISBN | 981-281-458-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Contents; Chapter 1. Elementary Aspects of Potential Theory in Mathematical Physics; 1.1. Introduction; 1.2. The Laplace Differential Operator and the Poisson-Dirichlet Potential Problem; 1.3. The Dirichlet Problem in Connected Planar Regions: A Conformal Transformation Method for Green Functions in String Theory; 1.4. Hilbert Spaces Methods in the Poisson Problem; 1.5. The Abstract Formulation of the Poisson Problem; 1.6. Potential Theory for the Wave Equation in R3 - Kirchho. Potentials (Spherical Means); 1.7. The Dirichlet Problem for the Diffusion Equation - Seminar Exercises
1.8. The Potential Theory in Distributional Spaces - The Gelfand-ChilovMethodReferences; Appendix A. Light Deflection on de-Sitter Space; A.1.The Light Deflection; A.2.The Trajectory Motion Equations; A.3. On the Topology of the Euclidean Space-Time; Chapter 2. Scattering Theory in Non-Relativistic One-Body Short-Range Quantum Mechanics: M ̈oller Wave Operators and Asymptotic Completeness; 2.1. The Wave Operators in One-Body Quantum Mechanics; 2.2. Asymptotic Properties of States in the Continuous Spectra of the Enss Hamiltonian 2.3. The Enss Proof of the Non-Relativistic One-Body QuantumMechanical ScatteringReferences; Appendix A; Appendix B; Appendix C; Chapter 3. On the Hilbert Space Integration Method for the Wave Equation and Some Applications to Wave Physics; 3.1. Introduction; 3.2. The Abstract Spectral Method - The Nondissipative Case; 3.3. The Abstract Spectral Method - The Dissipative Case; 3.4. The Wave Equation "Path-Integral" Propagator; 3.5. On The Existence of Wave-Scattering Operators; 3.6. Exponential Stability in Two-Dimensional Magneto-Elasticity: A Proof on a Dissipative Medium 3.7. An Abstract Semilinear Klein Gordon Wave Equation - Existence and UniquenessReferences; Appendix A. Exponential Stability in Two-Dimensional Magneto-Elastic: Another Proof; Appendix B. Probability Theory in Terms of Functional Integrals and theMinlos Theorem; Chapter 4. Nonlinear Di.usion and Wave-Damped Propagation: Weak Solutions and Statistical Turbulence Behavior.; 4.1. Introduction; 4.2. The Theorem for Parabolic Nonlinear Diffusion; 4.3. The Hyperbolic Nonlinear Damping; 4.4. A Path-Integral Solution for the Parabolic Nonlinear Diffusion 4.5. Random Anomalous Diffuusion, A Semigroup ApproachReferences; Appendix A; Appendix B; Appendix C; Appendix D. Probability Theory in Terms of Functional Integrals and the Minlos Theorem - An Overview; Chapter 5. Domains of Bosonic Functional Integrals and Some Applications to the Mathematical Physics of Path-Integrals and String Theory; 5.1. Introduction; 5.2. The Euclidean Schwinger Generating Functional as a Functional Fourier Transform; 5.3. The Support of Functional Measures - The Minlos Theorem; 5.4. Some Rigorous Quantum Field Path-Integral in the Analytical Regularization Scheme 5.5. Remarks on the Theory of Integration of Functionals on Distributional Spaces and Hilbert-Banach Spaces |
| Record Nr. | UNINA-9910777946303321 |
|
Botelho Luiz C. L
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lecture notes in applied differential equations of mathematical physics [[electronic resource] /] / Luiz C.L. Botelho
| Lecture notes in applied differential equations of mathematical physics [[electronic resource] /] / Luiz C.L. Botelho |
| Autore | Botelho Luiz C. L |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (340 p.) |
| Disciplina | 530.15535 |
| Soggetto topico |
Differential equations
Functional analysis Mathematical physics |
| ISBN | 981-281-458-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Contents; Chapter 1. Elementary Aspects of Potential Theory in Mathematical Physics; 1.1. Introduction; 1.2. The Laplace Differential Operator and the Poisson-Dirichlet Potential Problem; 1.3. The Dirichlet Problem in Connected Planar Regions: A Conformal Transformation Method for Green Functions in String Theory; 1.4. Hilbert Spaces Methods in the Poisson Problem; 1.5. The Abstract Formulation of the Poisson Problem; 1.6. Potential Theory for the Wave Equation in R3 - Kirchho. Potentials (Spherical Means); 1.7. The Dirichlet Problem for the Diffusion Equation - Seminar Exercises
1.8. The Potential Theory in Distributional Spaces - The Gelfand-ChilovMethodReferences; Appendix A. Light Deflection on de-Sitter Space; A.1.The Light Deflection; A.2.The Trajectory Motion Equations; A.3. On the Topology of the Euclidean Space-Time; Chapter 2. Scattering Theory in Non-Relativistic One-Body Short-Range Quantum Mechanics: M ̈oller Wave Operators and Asymptotic Completeness; 2.1. The Wave Operators in One-Body Quantum Mechanics; 2.2. Asymptotic Properties of States in the Continuous Spectra of the Enss Hamiltonian 2.3. The Enss Proof of the Non-Relativistic One-Body QuantumMechanical ScatteringReferences; Appendix A; Appendix B; Appendix C; Chapter 3. On the Hilbert Space Integration Method for the Wave Equation and Some Applications to Wave Physics; 3.1. Introduction; 3.2. The Abstract Spectral Method - The Nondissipative Case; 3.3. The Abstract Spectral Method - The Dissipative Case; 3.4. The Wave Equation "Path-Integral" Propagator; 3.5. On The Existence of Wave-Scattering Operators; 3.6. Exponential Stability in Two-Dimensional Magneto-Elasticity: A Proof on a Dissipative Medium 3.7. An Abstract Semilinear Klein Gordon Wave Equation - Existence and UniquenessReferences; Appendix A. Exponential Stability in Two-Dimensional Magneto-Elastic: Another Proof; Appendix B. Probability Theory in Terms of Functional Integrals and theMinlos Theorem; Chapter 4. Nonlinear Di.usion and Wave-Damped Propagation: Weak Solutions and Statistical Turbulence Behavior.; 4.1. Introduction; 4.2. The Theorem for Parabolic Nonlinear Diffusion; 4.3. The Hyperbolic Nonlinear Damping; 4.4. A Path-Integral Solution for the Parabolic Nonlinear Diffusion 4.5. Random Anomalous Diffuusion, A Semigroup ApproachReferences; Appendix A; Appendix B; Appendix C; Appendix D. Probability Theory in Terms of Functional Integrals and the Minlos Theorem - An Overview; Chapter 5. Domains of Bosonic Functional Integrals and Some Applications to the Mathematical Physics of Path-Integrals and String Theory; 5.1. Introduction; 5.2. The Euclidean Schwinger Generating Functional as a Functional Fourier Transform; 5.3. The Support of Functional Measures - The Minlos Theorem; 5.4. Some Rigorous Quantum Field Path-Integral in the Analytical Regularization Scheme 5.5. Remarks on the Theory of Integration of Functionals on Distributional Spaces and Hilbert-Banach Spaces |
| Record Nr. | UNINA-9910814724203321 |
|
Botelho Luiz C. L
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho
| Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho |
| Autore | Botelho Luiz C. L |
| Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2009 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.14/3 |
| Soggetto topico |
Path integrals
Integral representations Probabilities |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-60741-908-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY""; ""Contents""; ""About This Monograph (ForewordI)""; ""Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral""; ""1.1. Introduction""; ""1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory""; ""1.3. A Fermionic Loop Space for QCD""; ""1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory""; ""References""; ""Appendix A.""; ""Appendix B.""
""8.1. Introduction"" |
| Record Nr. | UNINA-9910454798403321 |
|
Botelho Luiz C. L
|
||
| Hauppauge, N.Y., : Nova Science Publishers, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho
| Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho |
| Autore | Botelho Luiz C. L |
| Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2009 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.14/3 |
| Soggetto topico |
Path integrals
Integral representations Probabilities |
| ISBN | 1-60741-908-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY""; ""Contents""; ""About This Monograph (ForewordI)""; ""Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral""; ""1.1. Introduction""; ""1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory""; ""1.3. A Fermionic Loop Space for QCD""; ""1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory""; ""References""; ""Appendix A.""; ""Appendix B.""
""8.1. Introduction"" |
| Record Nr. | UNINA-9910778031203321 |
|
Botelho Luiz C. L
|
||
| Hauppauge, N.Y., : Nova Science Publishers, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho
| Methods of bosonic and fermionic path integrals representations [[electronic resource] ] : continuum random geometry in quantum field theory / / Luiz C.L. Botelho |
| Autore | Botelho Luiz C. L |
| Pubbl/distr/stampa | Hauppauge, N.Y., : Nova Science Publishers, c2009 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.14/3 |
| Soggetto topico |
Path integrals
Integral representations Probabilities |
| ISBN | 1-60741-908-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY""; ""Contents""; ""About This Monograph (ForewordI)""; ""Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral""; ""1.1. Introduction""; ""1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory""; ""1.3. A Fermionic Loop Space for QCD""; ""1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory""; ""References""; ""Appendix A.""; ""Appendix B.""
""8.1. Introduction"" |
| Record Nr. | UNINA-9910810460503321 |
|
Botelho Luiz C. L
|
||
| Hauppauge, N.Y., : Nova Science Publishers, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||