247 citations · 367 across the 11 of their papers we have counts for
8 papers · 1 filter
Quantum Hall admittance in non-Hermitian systems
Annan Fan, Guang-Yao Huang, Shi-Dong Liang
We propose a pair of the complex Berry curvatures associated with the non-Hermitian Hamiltonian and its Hermitian adjoint to reveal new physics in non-Hermitian systems. We give th…
Finslerian geometrization of quantum mechanics in the hydrodynamical representation
Shi-Dong Liang, Sorin V. Sabau, Tiberiu Harko
We consider a Finslerian type geometrization of the non-relativistic quantum mechanics in its hydrodynamical (Madelung) formulation, by also taking into account the effects of the…
Energy-dependent noncommutative quantum mechanics
Tiberiu Harko, Shi-Dong Liang
We propose a model of dynamical noncommutative quantum mechanics in which the noncommutative strengths, describing the properties of the commutation relations of the coordinate and…
Generalised uncertainty relations from superpositions of geometries
Matthew J. Lake, Marek Miller, Ray F. Ganardi +3
Phenomenological approaches to quantum gravity implement a minimum resolvable length-scale but do not link it to an underlying formalism describing geometric superpositions. Here,…
A nanoscale window for probing Planck scale phenomena
Shi-Dong Liang
The noncommutative space provides a framework to understand phenomena in Planck scale physics. However, there is no any direct experimental evidence to demonstrate the existence of…
Topological invariance and global Berry phase in non-Hermitian systems
Shi-Dong Liang, Guang-Yao Huang
By studying the topological invariance andBerry phase in non-Hermitian systems, we reveal the basic properties of the complex Berry phase and generalize the global Berry phases Q t…