Mathematical concepts of quantum mechanics / Stephen J. Gustafson, Israel Michael Sigal.

By: Gustafson, Stephen J, 1972-Contributor(s): Sigal, Israel Michael, 1945- [autor]Material type: TextTextLanguage: English Series: UniversitextCopyright date: Heidelberg ; New York : Springer, 2000Edition: Second editionDescription: xiii, 382 pages : illustrations ; 24 cmISBN: 9783642218651Subject(s): Quantum theory | Teoría cuántica | Quantum theory -- Mathematics | Teoría cuántica -- MatemáticasDDC classification: 530.120151 LOC classification: QC174.12 | .G87 2011
Partial contents:
Physical background -- Dynamics -- Observables -- Quantization -- Uncertainty principle and stability of atoms and molecules -- Spectrum and dynamics -- Special cases -- Bound states and variational principle -- Scattering states -- Existence of atoms and molecules -- Perturbation theory: Freshbach-Schur method -- General theory of many-particle systems -- Self-consistent approximations -- The Feynman path integral -- Quasi-classical analysis -- Resonances -- Quantum statistics -- The second quantization -- Quantum electro-magnetic field - photons -- Standard model of non-relativistic matter and radiation -- Theory of radiation -- Renormalization group -- Mathematical supplement: spectral analysis -- Mathematical supplement: the calculus of variations -- Comments on literature, and further reading.
Abstract: The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content.
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Includes index.

Includes bibliographical references.

Physical background -- Dynamics -- Observables -- Quantization -- Uncertainty principle and stability of atoms and molecules -- Spectrum and dynamics -- Special cases -- Bound states and variational principle -- Scattering states -- Existence of atoms and molecules -- Perturbation theory: Freshbach-Schur method -- General theory of many-particle systems -- Self-consistent approximations -- The Feynman path integral -- Quasi-classical analysis -- Resonances -- Quantum statistics -- The second quantization -- Quantum electro-magnetic field - photons -- Standard model of non-relativistic matter and radiation -- Theory of radiation -- Renormalization group -- Mathematical supplement: spectral analysis -- Mathematical supplement: the calculus of variations -- Comments on literature, and further reading.

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline.

Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content.

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