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Relativistic Many-Body Theory - A New Field-Theoretical Approach (Paperback, Softcover reprint of the original 2nd ed. 2016)
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Relativistic Many-Body Theory - A New Field-Theoretical Approach (Paperback, Softcover reprint of the original 2nd ed. 2016)
Series: Springer Series on Atomic, Optical, and Plasma Physics, 63
Expected to ship within 10 - 15 working days
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This revised second edition of the author's classic text offers
readers a comprehensively updated review of relativistic atomic
many-body theory, covering the many developments in the field since
the publication of the original title. In particular, a new final
section extends the scope to cover the evaluation of QED effects
for dynamical processes. The treatment of the book is based upon
quantum-field theory, and demonstrates that when the procedure is
carried to all orders of perturbation theory, two-particle systems
are fully compatible with the relativistically covariant
Bethe-Salpeter equation. This procedure can be applied to arbitrary
open-shell systems, in analogy with the standard many-body theory,
and it is also applicable to systems with more than two particles.
Presently existing theoretical procedures for treating atomic
systems are, in several cases, insufficient to explain the accurate
experimental data recently obtained, particularly for highly
charged ions. The main text is divided into three parts. In Part I,
the standard time-independent and time-dependent perturbation
procedures are reviewed. This includes a new section at the end of
chapter 2 concerning the so-called "Fock-space procedure" or
"Coulomb-only procedure" for relativistic-QED calculations . This
is a procedure on an intermediate level, frequently used in recent
time by chemists on molecular systems, where a full QED treatment
is out of question. Part II describes three methods for QED
calculations, a) the standard S-matrix formulation, b) the
Two-times Green's-function method, developed by the St Petersburg
Atomic Theory group, and c) the Covariant-evolution operator (CEO)
method, recently developed by the Gothenburg Atomic Theory group.
In Part III, the CEO method is combined with electron correlation
to arbitrary order to a unified MBPT-QED procedure. The new Part IV
includes two new chapters dealing with dynamical properties and how
QED effects can be evaluated for such processes. This part is much
needed as there has been an increasing interest in the study of QED
effects for such processes. All methods treated in the book are
illustrated with numerical examples, making it a text suitable for
advanced students new to the field and a useful reference for
established researchers.
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