Quantenfeldtheorie ultrakalter Teilchen
Der Inhalt der Vorlesung ist die theoretische Beschreibung von
extrem kalten (1 Mikro-Kelvin und weniger) gasartigen
Atomen und Molekülen,
wobei besonders ihre Wechselwirkung mit Licht behandelt werden
soll. Nach einer allgemeinen Einführung in die Methoden der
Quantenfeldtheorie (Teilchenzahl-Darstellung, 2. Quantisierung,
Feynman-Graphen) wird ihre Anwendung auf gebundene
Systeme (Atome) dargestellt.
Literatur zur Quantenfeldtheorie
General Books on Quantum Field Theory
- H. Haken, Quantum field theory of solids : an introduction
Excellent introductory text covering the basic methods.
Physical applications are restricted to solid state theory
(excitons, polaritons, magnons, BCS theory of
superconductivity). Also available in German.
- Lewis H. Ryder, Quantum field theory (1985).
An excellent introduction to the method of path integrals
in field theory. Treats many interesting aspects such as
topology, anomalies, solitons. Physical applications are
restricted to relativistic fields.
- Jean Zinn-Justin, Quantum field theory and critical
phenomena (1990). Both relativistic field theories and
the behaviour of phase transitions near the critical
temperature are treated.
- Edward R. Pike and Sarben Sarkar, The quantum theory of
Covers parts of relativistic QFT as well as Quantum Optics. Deals with
some special problems (such as localization) which cannot be found
Quantum Optics and non-relativistic QED
- Leonard Mandel and Emil Wolf,
Optical coherence and quantum optics (1995).
One of the most comprehensive and complete texts on quantum optics.
Gives a good survey of most techniques and topics.
- D. F. Walls and G. J. Milburn, Quantum optics (1995).
A concise textbook
focusing on squeezed states and noise mechanisms (master
- Herch M. Nussenzveig, Introduction to quantum optics (1973).
Particularly helpful for coherent states.
- Peter W. Milonni, The quantum vacuum : an introduction to quantum
A very interesting book which mostly deals with
the effect of boundaries (Casimir effect) and some particular quantum
field theoretical effects in (mostly non-relativistic) QED.
- Claude Cohen-Tannoudji, Jacques Dupont-Roc, and Gilbert Grynberg,
atoms : introduction to quantum electrodynamics (1989).
In this book the
fundamental equations of non-relativistic QED are
- Claude Cohen-Tannoudji, Jacques Dupont-Roc, Gilbert Grynberg,
interactions : basic processes and applications (1992).
A very good book dealing with the fundamental
techniques to describe the interaction of atoms with light.
Includes dressed states, resolvent method, master equations.
Condensed Matter, Statistical Mechanics
- A. A. Abrikosov, L. P. Gorkov and I. E. Dzalosinskij,
of quantum field theory in statistical physics (1963).
One of the classic textbooks on statistical mechanics. Treats
in great detail the equilibrium theory for quantum fields.
Physical applications are focused on superfluids and Fermi
- Alexander L. Fetter and John Dirk Walecka, Quantum theory of
many-particle systems (1971). A good introduction to
equilibrium QFT for thermodynamical systems. Is
very detailed about derivations. Physical applications
center on nuclear systems and (low-Tc) Superconductors.
- Alexei M. Tsvelik, Quantum field theory in condensed matter
physics (1996). Deals with recent results of QFT in condensed
systems, particularly in two and one spatial dimension.
Informative but hard to read.
- Naoto Nagaosa, Quantum field theory in condensed matter physics
(1999). Introductory text using path integrals. Focuses on
superconductivity and quantum-Hall effect. Is in part not very
detailed about proofs.
- Leo P. Kadanoff and Gordon Baym, Quantum statistical mechanics :
Green's function methods in equilibrium and nonequilibrium
problems (1962). A classic book by the inventors of the
- Dmitrij N. Zubarev, Vladimir G. Morozov, and Gerd Röpke,
mechanics of nonequilibrium processes (1996). An approach based
on the concept of the ``relevant density matrix''.
- Lifsic, Evgenij M. and Lev P. Pitaevskij, Physical kinetics
Contains an introduction to the Keldysh diagram technique for
Relativistic Quantum Field Theory, Gauge Theories
- Claude Itzykson and Jean-Bernard Zuber, Quantum field
A book which contains a huge amount of information on almost
any aspect of relativistic field theories. However, some
parts are very hard to read.
- James D. Bjorken and Sidney D. Drell,
Relativistic quantum mechanics (1964).
Very good introduction to (first-quantized) relativistic field
- James D. Bjorken and Sidney D. Drell,
Relativistic quantum fields (1964).
A classic text, but somewhat outdated in both the
representation of field theory and the physical applications.
Nevertheless quite helpful if one is looking for explanations
of some particular aspects.
- Franz Mandl and Graham Shaw, Quantum field theory (1980).
Nice intoductory text to relativistic QFT. Deals only with
basic examples and focuses on QED and electroweak theory.
- Ta-Pei Cheng and Ling-Fong Li, Gauge theory of elementary particle
physics (1984). Focuses on the phenomenolgy of high energy
physics. Very good book if one is interested in the physical
consequences of gauge theories.
- John Churton Collins, Renormalization : an introduction to
renormalization, the renormalization group, and the
operator-product expansion, (1984).
Deals with renormalization and regularization in relativistic
- N. D. Birrell and P. C. W. Davies,
Quantum fields in curved space (1980).
A good introduction to the peculiarities of relativistic
quantum field theories in a non-quantized but curved
(general-relativistic) space-time. Explains theoretical
predictions such as the Unruh effect for accelerated detectors
or Hawking radiation of a black hole.
- R. F. Streater and A. S. Wightman, PCT, spin and statistics, and all
that (1964). Beautiful text on the axiomatic formulation of QFT,
i.e., the derivation of the properties of any QFT from a few
basic axioms (such as Einstein locality). Mathematically
superb, although some conclusions of this theory are
discouraging. It nevertheless provides rigorous proofs
of the spin-statistics theorem (i.e, that Bosons must have
integer spin) and the PCT theorem (any QFT must be invariant
under a space inversion followed by charge conjugation and
- Rudolf Haag, Local quantum physics :
fields, particles, algebras (1996).
A book on the construction of field theories with local
observables only. Very mathematical. The theories are based
on C* algebras and are the successor of axiomatic QFT.
- Kurt Sundermeyer, Constrained dynamics : with applications to
Yang-Mills theory, general relativity, classical spin,
dual string model (1982). A book on the quantization of
a theory with constraints. This topic is very important
for gauge theories, where the fixing of the gauge induces
a constraint, and quantum gravity.
- James Glimm and Arthur Jaffe, Quantum physics : a
functional integral point of
view (1987). The authoritative book on path integrals. Very