Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Für diesen Artikel ist leider kein Bild verfügbar.

Relativistic Many-Body Theory and Statistical Mechanics

Buch | Hardcover
140 Seiten
2018
Morgan & Claypool Publishers (Verlag)
978-1-68174-949-5 (ISBN)
CHF 146,55 inkl. MwSt
  • Lieferzeit auf Anfrage
  • Versandkostenfrei
  • Auch auf Rechnung
  • Artikel merken
In 1941, E.C.G. Stueckelberg established the foundations of a theory that could covariantly describe the classical and quantum relativistic mechanics of a single particle. Horwitz and Piron extended the applicability of this theory in 1973 to the many-body problem. This book explains this development and provides examples of its applications.
In 1941, E.C.G. Stueckelberg wrote a paper, based on ideas of V. Fock, that established the foundations of a theory that could covariantly describe the classical and quantum relativistic mechanics of a single particle. Horwitz and Piron extended the applicability of this theory in 1973 (to be called the SHP theory) to the many-body problem. It is the purpose of this book to explain this development and provide examples of its applications.

We first review the basic ideas of the SHP theory, both classical and quantum, and develop the appropriate form of electromagnetism on this dynamics. After studying the two body problem classically and quantum mechanically, we formulate the N-body problem. We then develop the general quantum scattering theory for the N-body problem and prove a quantum mechanical relativistically covariant form of the Gell-Mann-Low theorem. The quantum theory of relativistic spin is then developed, including spin-statistics, providing the necessary apparatus for Clebsch-Gordan additivity, and we then discuss the phenomenon of entanglement at unequal times.

In the second part, we develop relativistic statistical mechanics, including a mechanism for stability of the off-shell mass, and a high temperature phase transition to the mass shell. Finally, some applications are given, such as the explanation of the Lindneret alexperiment, the proposed experiment of Palacios et al which should demonstrate relativistic entanglement (at unequal times), the space-time lattice, low energy nuclear reactions and applications to black hole physics.

Lawrence Paul Horwitz studied Engineering Physics at the New York University College of Engineering, and then moved on to Harvard University where he received his doctorate in 1957. He worked at IBM Watson Research Laboratory, The University of Genova, and CERN, before accepting a full professorship at Tel Aviv University. He is currently Professor Emeritus at Tel Aviv University, Bar Ilan University and Ariel University. Rafael Arshansky received his Master's Degree for his work on 'Coherent States in Relativistic Quantum Theory' from the Lomonosov Moscow State University. He obtained his PhD at Tel Aviv University for his work 'Topics in Relativistic Quantum Theory: Two Body Bound States and Scattering Theory', under the supervision of L P Horwitz. His present fields of interest are the relativistic dynamics of events with any number of degrees of freedom in classical and quantum mechanics, and general relativity.

Introduction
Many-body relativistic mechanics and gauge theory
Quantum mechanical two-body problem and consequences for many-body systems
Scattering theory
Classical relativistic statistical mechanics
Quantum relativistic statistical mechanics, spin statistics and quantum field theory
Discussion and outlook

Erscheinungsdatum
Reihe/Serie IOP Concise Physics
Verlagsort San Rafael
Sprache englisch
Maße 178 x 254 mm
Gewicht 825 g
Themenwelt Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
ISBN-10 1-68174-949-1 / 1681749491
ISBN-13 978-1-68174-949-5 / 9781681749495
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Statik - Kinematik - Kinetik - Schwingungen - Festigkeitslehre

von Martin Mayr

Buch | Hardcover (2021)
Hanser, Carl (Verlag)
CHF 41,95