Theoretical physics. Vol. 2: Quantum mechanics, relativistic quantum mechanics, quantum field theory, elementary particle theory, thermo-dynamics and statistics. (Theoretische Physik. Band 2: Quantenmechanik, relativistische Quantenmechanik, Quantenfeldtheorie, Elementarteilchentheorie, Thermodynamik und Statistik.) (English) Zbl 1053.81500

Spektrum Lehrbuch. Heidelberg: Elsevier/Spektrum Akademischer Verlag (ISBN 3-8274-0247-6/hbk). xxi, 1354 p. (2005).
This is the second volume of the textbook on theoretical physics by Eckhard Rebhan. Whereas the first volume had covered the topics: mechanics, electrodynamics, relativity theory, and cosmology, now the second volume shows almost everything from theoretical physics which has something to do with quantum or statistical properties of matter.
It starts with quantum mechanics, presents both the empirical questions as well as the detailed calculations; Hilbert spaces and perturbation theory are enclosed as well. Next, relativistic quantum mechanics and quantum field theory are developed, and a part about the elementary particles is included. Here, I have some reservations about the presentation due to some incorrect and misleading statements. Examples: At page 870, the definition of a group contains superfluous statements, which should have been better called to be consequences of the group axioms. And: discrete groups are defined, too; but, according to that definition, the additive group of rational numbers would become a discrete group contradicting the usual definition of a discrete group to be a topological group whose underlying topology is the discrete one.
In the final Chapter 5, thermodynamics and statistics are covered. A subject index and a short reference list close this useful book.


81-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory
82B35 Irreversible thermodynamics, including Onsager-Machlup theory
81T18 Feynman diagrams
81S05 Commutation relations and statistics as related to quantum mechanics (general)
83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism


Zbl 0956.83001