| Autore |
Vatsya S. Raj
|
| Edizione | [1st ed.] |
| Pubbl/distr/stampa |
Hauppauge, NY, : Nova Science Publishers, c2009
|
| Descrizione fisica |
1 online resource (349 p.)
|
| Disciplina |
515/.392
|
| Soggetto topico |
Perturbation (Mathematics)
Perturbation (Quantum dynamics)
Variational principles
|
| ISBN |
1-60741-414-7
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
Intro -- 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 Results -- 3.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. PRELIMINARIES -- 6.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 Propagation -- 7.V. QUANTUM THEORY -- REFERENCES -- INDEX.
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| Record Nr. | UNINA-9910823555503321 |
Info
Foundations and Applications of Variational and Perturbation Methods [[electronic resource]]
