Large Coulomb systems : lecture notes on mathematical aspects of QED / Jan Dereziński, Heinz Siedentop (eds.).

Contributor(s): Dereziński, Jan, 1957- | Siedentop, Heinz Karl Heinrich
Material type: TextTextSeries: Lecture notes in physics: 695.Publisher: Berlin ; New York : Springer, [2006]Description: 1 online resource (viii, 326 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 3540325786; 9783540325789; 9783540325796; 3540325794; 6610627185; 9786610627189; 1280627182; 9781280627187Subject(s): Quantum electrodynamics -- Mathematics | Électrodynamique quantique -- Mathématiques | SCIENCE -- Waves & Wave Mechanics | Électrodynamique quantique -- Mathématiques | Quantum electrodynamics -- Mathematics | Physique | Quantum electrodynamics -- Mathematics | Large quantum systems | QED | Coulomb systemsGenre/Form: Electronic books. Additional physical formats: Print version:: Large Coulomb systems.DDC classification: 530.14/33 LOC classification: QC680.5 | .L37 2006Other classification: O413. 2 Online resources: Click here to access online
Contents:
A tutorial approach to the renormalization group and the smooth Feshbach map / V. Bach -- Local states of free Bose fields / S. De Bièvre -- Introduction to representations of the canonical commutation and anticommutation relations / J. Dereziński -- Mathematical theory of the Wigner-Weisskopf atom / V. Jakšić, E. Kritchevski, C.-A. Pillet -- Non-relativistic matter and quantized radiation / M. Griesemer -- Dilute, trapped Bose gases and Bose-Einstein condensation / R. Seiringer -- Perturbation theory for QED calculations of high-Z few-electron atoms / V.M. Shabaev -- The relativistic electron-positron field: Hartree-Fock approximation and fixed electron number / H. Siedentop.
Summary: A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found. Nevertheless, there are several simplified effective models that successfully describe many body quantum systems and the interaction of radiation with matter. Large Coulomb Systems explores a selection of mathematical topics inspired by QED. It comprises selected, expanded and edited lectures given by international experts at a topical summer school and is intended as a high-level introduction for graduate students, postdocs and nonspecialists from related fields.
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Includes bibliographical references and index.

A tutorial approach to the renormalization group and the smooth Feshbach map / V. Bach -- Local states of free Bose fields / S. De Bièvre -- Introduction to representations of the canonical commutation and anticommutation relations / J. Dereziński -- Mathematical theory of the Wigner-Weisskopf atom / V. Jakšić, E. Kritchevski, C.-A. Pillet -- Non-relativistic matter and quantized radiation / M. Griesemer -- Dilute, trapped Bose gases and Bose-Einstein condensation / R. Seiringer -- Perturbation theory for QED calculations of high-Z few-electron atoms / V.M. Shabaev -- The relativistic electron-positron field: Hartree-Fock approximation and fixed electron number / H. Siedentop.

A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found. Nevertheless, there are several simplified effective models that successfully describe many body quantum systems and the interaction of radiation with matter. Large Coulomb Systems explores a selection of mathematical topics inspired by QED. It comprises selected, expanded and edited lectures given by international experts at a topical summer school and is intended as a high-level introduction for graduate students, postdocs and nonspecialists from related fields.

English.

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