17 citations · 37 across the 6 of their papers we have counts for
6 papers
Topological invariant of velocity field in quantum systems
Annan Fan, Shi-Dong Liang
We introduce the velocity field of the Bloch electrons and propose the velocity field approach to characterize the topological invariants of quantum states. We find that the zero m…
Klein-Gordon theory in noncommutative phase space
Shi-Dong Liang
We extend the three-dimensional noncommutative relations of the positions and momenta operators to those in the four dimension. Using the Bopp shift technique, we give the Heisenbe…
Geometric criterion of topological phase transition for non-Hermitian systems
Annan Fan, Shi-Dong Liang
We propose a geometric criterion of the topological phase transition for non-Hermitian systems. We define the length of the boundary of the bulk band in the complex energy plane fo…
Topological invariants of complex energy plane in non-Hermitian systems
Annan Fan, Shi-Dong Liang
Non-Hermitian systems as theoretical models of open or dissipative systems exhibit rich novel physical properties and fundamental issues in condensed matter physics.We propose a ge…
An Introduction to Noncommutative Physics
Shi-Dong Liang, Matthew J. Lake
In recent years, many new developments in theoretical physics, and in practical applications rely on different techniques of noncommutative algebras. In this review, we introduce t…
Dimensionally-dependent uncertainty relations, or why we (probably) won't see micro-black holes at the LHC, even if large extra dimensions exist
Matthew J. Lake, Shi-Dong Liang, Anucha Watcharapasorn
We present a simple gedanken experiment in which a compact object traverses a spacetime with three macroscopic spatial dimensions and compact dimensions. The compactification r…