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Scattering Theory of Classical and Quantum N-Particle Systems (Paperback, Softcover reprint of hardcover 1st ed. 1997): Jan... Scattering Theory of Classical and Quantum N-Particle Systems (Paperback, Softcover reprint of hardcover 1st ed. 1997)
Jan Derezinski, Christian Gerard
R2,997 Discovery Miles 29 970 Ships in 10 - 15 working days

A system of N non-relativistic classical particles interacting with pair potentials is described by a Hamiltonian of the form (0.0.1) This Hamiltonian generates a flow cents(t) on the phase space JR3N x JR3N. An analogous system of N quantum particles is described by a Hamiltonian of the form N 1 H: = -L -Llj + L \lij(Xi - Xj)' (0.0.2) j=l 2mj l

Large Coulomb Systems - Lecture Notes on Mathematical Aspects of QED (Paperback, Softcover reprint of hardcover 1st ed. 2006):... Large Coulomb Systems - Lecture Notes on Mathematical Aspects of QED (Paperback, Softcover reprint of hardcover 1st ed. 2006)
Jan Derezinski, Heinz Siedentop
R1,573 Discovery Miles 15 730 Ships in 10 - 15 working days

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.

Large Coulomb Systems - Lecture Notes on Mathematical Aspects of QED (Hardcover, 2006 ed.): Jan Derezinski, Heinz Siedentop Large Coulomb Systems - Lecture Notes on Mathematical Aspects of QED (Hardcover, 2006 ed.)
Jan Derezinski, Heinz Siedentop
R1,760 Discovery Miles 17 600 Ships in 10 - 15 working days

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.

Scattering Theory of Classical and Quantum N-Particle Systems (Hardcover, 1997 ed.): Jan Derezinski, Christian Gerard Scattering Theory of Classical and Quantum N-Particle Systems (Hardcover, 1997 ed.)
Jan Derezinski, Christian Gerard
R3,221 Discovery Miles 32 210 Ships in 10 - 15 working days

This monograph addresses researchers and students. It is a modern presentation of time-dependent methods for studying problems of scattering theory in classical and quantum mechanics. Particular attention is paid to long-range potentials. For a large class of interactions the existence of the asymptotic velocity and the asymptotic completeness of the wave operators is shown. The book is self-contained and explains in detail concepts that deepen the understanding. A special feature is its emphasis to show the beautiful analogy between classical and quantum scattering theory.

Mathematics of Quantization and Quantum Fields (Hardcover): Jan Derezinski, Christian Gerard Mathematics of Quantization and Quantum Fields (Hardcover)
Jan Derezinski, Christian Gerard
R4,643 R4,009 Discovery Miles 40 090 Save R634 (14%) Ships in 12 - 17 working days

Unifying topics that are scattered throughout the literature, this book offers a definitive review of mathematical aspects of quantization and quantum field theory. It presents both basic and advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. It begins with a discussion of the mathematical structures underlying free bosonic or fermionic fields: tensors, algebras, Fock spaces, and CCR and CAR representations. Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in mathematics and physics. This title, first published in 2013, has been reissued as an Open Access publication on Cambridge Core.

Mathematics of Quantization and Quantum Fields (Paperback): Jan Derezinski, Christian Gerard Mathematics of Quantization and Quantum Fields (Paperback)
Jan Derezinski, Christian Gerard
R1,432 Discovery Miles 14 320 Ships in 12 - 17 working days

Unifying topics that are scattered throughout the literature, this book offers a definitive review of mathematical aspects of quantization and quantum field theory. It presents both basic and advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. It begins with a discussion of the mathematical structures underlying free bosonic or fermionic fields: tensors, algebras, Fock spaces, and CCR and CAR representations. Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in mathematics and physics. This title, first published in 2013, has been reissued as an Open Access publication on Cambridge Core.

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