88 citations · 205 across the 10 of their papers we have counts for
10 papers
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…
Zero modes of velocity field and topological invariant in quantum torus
Annan Fan, Shi-Dong Liang
We propose the velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the…
From the Weyl-Schrödinger connection to the accelerating Universe -- extending Einstein's gravity via a length preserving nonmetricity
Lei Ming, Shi-Dong Liang, Hong-Hao Zhang +1
One of the important extensions of Riemann geometry is Weyl geometry, which is essentially based on the ideas of conformal invariance and nonmetricity. A similar non-Riemannian geo…
Connections between Weyl geometry, quantum potential and quantum entanglement
Shi-Dong Liang, Wenjing Huang
The Weyl geometry promises potential applications in gravity and quantum mechanics. We study the relationships between the Weyl geometry, quantum entropy and quantum entanglement b…
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…