Condensed matter field theory

• Verfasst von: Altland, Alexander
• Verfasst von: Simons, Ben
• Titel: Condensed matter field theory
• Verf.angabe: Alexander Altland and Ben Simons
• Ausgabe: 2. ed.
• Verlagsort: Cambridge [u.a.]
• Verlag: Cambridge Univ. Press
• Jahr: 2010
• Umfang: XIV, 770 S.
• Illustrationen: Ill., graf. Darst.
• ISBN: 978-0-521-76975-4
• Schlagwörter: (s)Festkörperphysik / (s)Quantenfeldtheorie
• Datenträger: Online-Ressource
• Dokumenttyp: Lehrbuch
• Sprache: eng
• (Umfang): Online-Ressource
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Altland, Alexander, 1965 - : Condensed matter field theory. - 2. ed.. - Cambridge [u.a.] : Cambridge Univ. Press, 2010. - XIV, 770 S.
• RVK-Notation: UP 1300
• Sach-SW: Electronic books
• K10plus-PPN: 1651988536
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

A pedagogical introduction to quantum field theory in many-particle physics, this book complements graduate level courses on many-particle theory.

Abstract

Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 From particles to fields -- 1.1 Classical harmonic chain: phonons -- Hamiltonian formulation -- 1.2 Functional analysis and variational principles -- 1.3 Maxwell's equations as a variational principle -- 1.4 Quantum chain -- Revision of the quantum harmonic oscillator -- Field quantization -- Vacuum fluctuations in matter -- 1.6 Noether's theorem -- Symmetry transformations -- Example: translational invariance -- 1.7 Summary and outlook -- 1.8 Problems -- Electrodynamics from a variational principle -- Hamiltonian of electromagnetic field -- Phonon specific heat -- Van der Waals force -- 2 Second quantization -- The apparatus of second quantization -- Occupation number representation and Fock space -- Foundations of second quantization -- Practical aspects -- 2.2 Applications of second quantization -- Electrons in a periodic potential -- Nearly free electron systems -- Interaction effects in the tight-binding system -- Mott-Hubbard transition and the magnetic state -- Interacting fermions in one dimension -- Qualitative discussion -- Quantum spin chains -- Quantum ferromagnet -- Quantum antiferromagnet -- 2.3 Summary and outlook -- 2.4 Problems -- Stone-von Neumann theorem -- Semiclassical spin waves -- Schwinger boson representation -- Jordan-Wigner transformation -- Spin-charge separation in one-dimension -- The Kondo problem -- 3 Feynman path integral -- 3.1 The path integral: general formalism -- 3.2 Construction of the path integral -- Path integral and statistical mechanics -- Semiclassics from the path integral -- Construction recipe of the path integral -- 3.3 Applications of the Feynman path integral -- The instanton gas -- Escape from a metastable minimum: "bounces" -- Tunneling in a dissipative environment -- Caldeira-Leggett model -- Path integral for spin.