Foundations and applications of variational and perturbation methods /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Vatsya, S. Raj
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hauppauge, NY : Nova Science Publishers, ©2009.
Temas:
Perturbation (Mathematics)
Perturbation (Quantum dynamics)
Variational principles.
Perturbation (Mathématiques)
Perturbation (Mécanique quantique)
Principes variationnels.
MATHEMATICS > Differential Equations > General.
Variational principles
Acceso en línea:Texto completo
Tabla de Contenidos:
  • FOUNDATIONS AND APPLICATIONS OFVARIATIONAL AND PERTURBATIONMETHODS; FOUNDATIONS AND APPLICATIONS OFVARIATIONAL AND PERTURBATIONMETHODS; CONTENTS; PREFACE; ACKNOWLEDGEMENTS; I. FOUNDATIONS; 1. INTEGRATION AND VECTOR SPACES; 1. I. PRELIMINARIES; 1. II. INTEGRATION; 1. II. 1. Basic Concepts; 1. II. 2. Integration over Trajectories; 1. III. VECTOR SPACES; 2. OPERATORS IN VECTOR SPACES; 2.I. OPERATORS IN BANACH SPACES; 2. II. Operators in Hilbert Spaces; 2. III. Forms in Hilbert Spaces; 2. IV. Integral Transforms; 2.V. Differential Operators; 3. VARIATIONAL METHODS; 3.I. FORMULATION; 3. II. CONVERGENCE.
  • 3. II. 1. Basic Results3. II. 2. Compact Operators; 3. II. 3. Bounded Operators; 3. II. 4. Semi-Bounded Operators; 3. III. PADÉ APPROXIMANTS; 3. III. 1. Formulation; 3. III. 2. Representations; 3. III. 3. Convergence And Applications; 3. IV. MONOTONIC CONVERGENCE; 3. IV. 1. Diagonal Forms; 3. IV. 2. Eigenvalues; 4. PERTURBATION METHODS; 4.I. PERTURBED OPERATOR; 4. II. SPECTRAL PERTURBATION; 4. II. 1. Resolvent and Point Spectrum; 4. II. 2. Continuous Spectrum; 4. III. SPECTRAL DIFFERENTIATION; 4. IV. ITERATION; II. APPLICATIONS; 5. MATRICES; 5.I. TRIDIAGONAL MATRICES; 5. II. STRUCTURED MATRICES; 6. ATOMIC SYSTEMS.
  • 6.I. PRELIMINARIES6. II. EIGENVALUES AND CRITICAL POINTS; 6. II. 1. Helium Atom; 6. II. 2. Short Range Potentials; 6. III. SCATTERING; 6. III. 1. Formulation; 6. III. 2. Born Series; 6. III. 3. Schwinger's Method; 6. III. 4. Hulthén -Kohn Methods; 6. III. 5. Rotated Hamiltonians; 7. SUPPLEMENTARY EXAMPLES; 7.I. RAY TOMOGRAPHY; 7. II. MAXWELL'S EQUATIONS; 7. III. POSITIVITY LEMMA FOR THE ELLIPTIC OPERATORS; 7. III. 1. Basic Results; 7. III. 2. Applications; 7. IV. TRANSPORT AND PROPAGATION; 7. IV. 1. Reaction-Diffusion; 7. IV. 2. Heat Transfer; 7. IV. 3. Radiative Transfer; 7. IV. 4. Turbulent Diffusion.
  • 7. IV. 5. Optical Beam Propagation7.V. QUANTUM THEORY; REFERENCES; INDEX.

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