30,885 research outputs found
Gravitomagnetic Field and Time-Dependent Spin-Rotation Coupling
The Kerr metric of spherically symmetric gravitational field is analyzed
through the coordinate transformation from the rotating frame to fixing frame,
and consequently that the inertial force field (with the exception of the
centrifugal force field) in the rotating system is one part of its
gravitomagnetic field is verified. We investigate the spin-rotation coupling
and, by making use of Lewis-Riesenfeld invariant theory, we obtain exact
solutions of the Schr\"{o}dinger equation of a spinning particle in a
time-dependent rotating reference frame. A potential application of these exact
solutions to the investigation of Earths rotating frequency fluctuation
by means of neutron-gravity interferometry experiment is briefly discussed in
the present paper.Comment: 6 pages, 0 figures, Late
Surface-edge state and half quantized Hall conductance in topological insulators
We propose a surface-edge state theory for half quantized Hall conductance of
surface states in topological insulators. The gap opening of a single Dirac
cone for the surface states in a weak magnetic field is demonstrated. We find a
new surface state resides on the surface edges and carries chiral edge current,
resulting in a half-quantized Hall conductance in a four-terminal setup. We
also give a physical interpretation of the half quantized conductance by
showing that this state is the product of splitting of a boundary bound state
of massive Dirac fermions which carries a conductance quantum
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