César R. de Oliveira

Intermediate Spectral Theory and Quantum Dynamics (eBook, PDF)

• Format: PDF

Produktdetails

• Verlag: Springer Basel
• Erscheinungstermin: 30. Dezember 2008
• Englisch
• ISBN-13: 9783764387952
• Artikelnr.: 37398030

Inhaltsangabe

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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.

Rezensionen

From the reviews:

"The aim of Intermediate Spectral Theory and Quantum Dynamics is to provide advanced undergraduate and graduate students with this understanding of the mathematical intricacies of non-relativistic quantum mechanics of a single particle. ... a concise introduction to the spectral theory of unbounded operators ... . ends with a comprehensive bibliography which contains references to the original literature and further reading and an extensive index of the material presented. ... I have found this book an interesting read which I will consult in future ... ." (Jörg Bernhard Götte, Contemporary Physics, Vol. 52 (3), May-June, 2011)

"The book gives an introduction to spectral theory on the graduate or advanced undergraduate level. ... The variety of topics is remarkably large for a book at the textbook level, and also some recent results are included. ... In conclusion, Intermediate spectral theory and quantum dynamics is a mostly complete and very readable introduction to this classical area of mathematics. Students will surely appreciate the many examples and exercises." (Rupert L. Frank, Mathematical Reviews, Issue 2011 m)