Time-reversal symmetry. Seven time-reversal operators for spin containing systems
type: Item
instance of: scholarly article
title: Time-reversal symmetry. Seven time-reversal operators for spin containing systems
zbMATH Open document ID: 1412.81005
DOI: 10.1007/978-3-030-01210-6
author: Ion I. Geru
published in: Springer Tracts in Modern Physics
publication date: 2018-10-30T00:00:00Z
review text: The time reversal symmetry in the classical or relativistic (non-quantum) mechanics seems to be a trivial symmetry of the equations of motions. Essentially the only it's interesting consequence in the energy conservation law. Nevertheless in the quantum case the situation changes drastically. In particular in magnetic systems the presence of this symmetry leads to numerous non-trivial consequences. The present book is a wonderful explanation of this subject. The book begins with basic facts but mostly is devoted to the modern theory. It is to mention that experimental confirmation are also discussed in details. In Chapter 1 the time reversal symmetry in classical and relativistic mechanics is discussed. In Chapter 2 the time reversal symmetry in the framework of the quantum mechanics and the quantum field theory is considered. The main subjects of this chapter are the Wigner (for atomic spectra) and Herring criteria (for crystals). for the energy level degeneracy due to the time reversal symmetry. Also the Kramers and the CPT theorems are explained in details. Chapter 3 is devoted to magnetic symmetry groups. It is presented the following method of construction of these groups: an extension of 32 point symmetry group using a cyclic group of the second order containing the time reversal symmetry operator. It is shown that this method works only in the case of the so called non-Kramers systems. In the latter case the extension must be done using a cyclic group of the fourth order. In Chapter 4 anomalous properties of trihomonuclear Kramers systems due to the symmetry obtained above are considered. In Chapter 5 the time reversal symmetry for quantum systems with quasienergy spectrum is considered. In Chapter 6 an original method is proposed for converting antiferromagnetic-type exchange interaction into ferromagnetic and vice versa in magnetic dimer cluster. The construction of this transformation is based on a usage of the time reversal transformation. Also in this ch…
Mathematics Subject Classification ID: 81-02
Mathematics Subject Classification ID: 82-02
Mathematics Subject Classification ID: 78-02
Mathematics Subject Classification ID: 81R05
Mathematics Subject Classification ID: 00A79
zbMATH DE Number: 6968469
zbMATH Keywords: time reversal symmetry
reviewed by: Dmitry Artamonov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-030-01210-6
OpenAlex ID: W4235503429
description: scientific article; zbMATH DE number 6968469