The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Whenever a quantum system undergoes a cyclic evolution governed by a slow change of
parameters, it acquires a phase factor: the geometric phase. Its most common formulations …

Topological mechanical metamaterials have emerged with the development of topological
phases and topological phase transitions in modern condensed matter physics. Their …

Subriemannian geometries can be viewed as limits of Riemannian geometries. They arise
naturally in many areas of pure (algebra, geometry, analysis) and applied (mechanics …

Aimed at graduate physics and chemistry students, this is the first comprehensive
monograph covering the concept of the geometric phase in quantum physics from its …

Abstract In the Born-Oppenheimer approximation for molecular dynamics as generalized by
Born and Huang, nuclei move on multiple potential-energy surfaces corresponding to …

This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

The fundamental theory of the geometric phase is summarized in a way suitable for use in
molecular systems treated by the Born-Oppenheimer approach. Both Abelian and non …

The use of geometric methods in classical mechanics has proven fruitful, with wide
applications in physics and engineering. In this book, Professor Marsden concentrates on …

I begin this review with a statement that the socalled Jahn-Teller (JT) effect (hereafter JTE),
pseudo-JTE (PJTE), and Renner-Teller effect (RTE), jointly JT vibronic coupling effects, are …