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 …

Planar systems admit quantum states that are neither bosons nor fermions, ie, whose
angular momentum is neither integer nor half-integer. After a discussion of some examples …

After a foreword by Klaus von Klitzing, the first chapters of this book discuss the prehistory
and the theoretical basis as well as the implications of the discovery of the Quantum Hall …

During the last few years, considerable interest has been focused on the phase that waves
accumulate when the equations governing the waves vary slowly. The recent flurry of activity …

In this paper, a novel compact operator is derived for the approximation of the Riesz
derivative with order α∈(1,2. The compact operator is proved with fourth-order accuracy …

This book explains the subtleties of quantum statistical mechanics in lower dimensions and
their possible ramifications in quantum theory. The discussion is at a pedagogical level and …

Particles with fractional statistics interpolating between bosons and fermions have attracted
considerable interest from mathematical physicists. In recent years it has emerged that these …

Berry's phase (1, 2) is an example of holonomy, the extent to which some variables change
when other variables or parameters characterizing a system return to their initial values (3 …

Topologically massive SU (N) gauge theories are studied by using the loop expansion in the
Landau gauge. Ward identities for infinitesimal and topologically nontrivial gauge …

Canonical Quantum Field Theory with Exotic Statistics Page 1 VOLUME 61, NUMBER 5
PHYSICAL REVIEW LETTERS 1 AUGUST 1988 Canonical Quantum Field Theory with Exotic …