Details
Intermediate Spectral Theory and Quantum Dynamics
Progress in Mathematical Physics, Band 54
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96,29 € |
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| Verlag: | Birkhäuser |
| Format: | |
| Veröffentl.: | 30.12.2008 |
| ISBN/EAN: | 9783764387952 |
| Sprache: | englisch |
| Anzahl Seiten: | 410 |
Dieses eBook enthält ein Wasserzeichen.
Beschreibungen
A Glance at Quantum Mechanics.- Linear Operators and Spectra.- Adjoint Operator.- Fourier Transform and Free Hamiltonian.- Operators via Sesquilinear Forms.- Unitary Evolution Groups.- Kato-Rellich Theorem.- Boundary Triples and Self-Adjointness.- Spectral Theorem.- Applications of the Spectral Theorem.- Convergence of Self-Adjoint Operators.- Spectral Decomposition I.- Spectral Decomposition II.- Spectrum and Quantum Dynamics.- Some Quantum Relations.
A detailed discussion on the quantum dynamics consequences of point, absolutely continuous and singular continuous spectra, some of them have not appeared in book form yet Discussions on boundary triples, “fractal” alpha-Hölder spectral measures and the Wonderland theorem are also interesting novelties No knowledge of quantum mechanics is supposed. The needed quantum concepts are introduced when appropriate in the text and rigorously approached The large number of worked examples that illustrate the developed theory, some based on rather recent published papers in the mathematical and physical literature, is also an appealing factor Includes supplementary material: sn.pub/extras
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