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MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR SCIENCE AND TECHNOLOGY. - Volume 3, Spectral Theory and Applications
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Résumé
In Chapter VIII spectral theory is introduced, with emphasis on the spectral decomposition of operators. Examples of application in electromagnetism and quantum physics are given in Chapter IX.
Sommaire
- SPECTRAL THEORY
- Elements of Spectral Theory in a Banach Space
- Dunford Integral and Functional Calculus
- Spectral Decomposition of Self-Adjoint and Compact Normal Operators in a Separable Hilbert Space and Applications
- Spectral Decomposition of a Bounded or Unbounded Self-Adjoint Operator
- Hilbert Sum and Hilbert Integral Associated with the Spectral Decomposition of a Self-Adjoint Operator A in a Separable Hilbert Space H*
- "Krein-Rutman Theorem"
- EXAMPLES IN ELECTROMAGNETISM AND QUANTUM PHYSICS
- EXAMPLES IN ELECTROMAGNETISM
- Basic Tools: Gradient, Divergence and Curl Operators
- Static Electromagnetism
- The Spectral Problem in a Bounded Open Domain (Cavity) with Perfect Conductor Boundary Conditions
- Spectral Problems in a Wave-Guide (Cylinder)
- EXAMPLES IN QUANTUM PHYSICS
- Operators Corresponding to the Position, Momentum and Angular Momentum Observables
- Hamiltonian Operators in Quantum Physics
- SOME SPECTRAL NOTIONS.
Caractéristiques
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Date de parution01/12/1999
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Editeur
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ISBN3-540-66099-2
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EAN9783540660996
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PrésentationBroché
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Nb. de pages541 pages
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Poids0.71 Kg
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Dimensions15,5 cm × 23,4 cm × 2,8 cm
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