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On the better behaved version of the GKZ hypergeometric system
the better behaved version the GKZ hypergeometric system
2010/12/27
We define a version of the generalized hypergeometric system introduced by Gelfand, Kapranov and Zelevinski (GKZ) suited for the case when the underlying lattice is replaced by a finitely generated a...
The quantum $H_4$ integrable system is a $4D$ system with rational potential related to the non-crystallographic root system $H_4$ with 600-cell symmetry. It is shown that the gauge-rotated $H_4$ Ham...
Time evolution of Wigner functions governed by bipartite Hamiltonian system with kinetic coupling
entangled Wigner operator Wigner function evolution entangled state representation
2010/6/30
For the bipartite Hamiltonian system with kinetic coupling, we derive time evolution equation of Wigner functions by virtue of the bipartite entangled state representation and entangled Wigner operato...
Chaotic instantons and enhancement of tunneling in kicked double-well system with time-reversal symmetry
time-reversal symmetry Chaotic instantons dynamical tunneling
2010/4/2
Chaotic instanton approach is used to describe dynamical tunneling in kicked double well system. Effective Hamiltonian for the kicked system is obtained using matrix expansion formula for operator exp...
Using the Keldysh nonequilibrium technique, we study current and the tunnelling magnetoresistance (TMR) in a quantum dot coupled to two ferromagnetic leads (FM-dot-FM). The current is calculated for b...