The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invar...The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invariant subspaces and the quotient spaces. From Fock representations corresponding to these indecomposable representations, the inhomogeneous boson realizations of are given. The expectation values of in the angular momentum coherent states are calculated as well as the corresponding classical limits.展开更多
The quantum nature of bulk ensemble NMR quantum computing — the center of recent heated debate, is addressed. Concepts of the mixed state and entanglement are examined, and the data in a two-qubit liquid NMR quantum ...The quantum nature of bulk ensemble NMR quantum computing — the center of recent heated debate, is addressed. Concepts of the mixed state and entanglement are examined, and the data in a two-qubit liquid NMR quantum computation are analyzed. The main points in this paper are: i) Density matrix describes the 'state' of an average particle in an ensemble. It does not describe the state of an individual particle in an ensemble; ii) Entanglement is a property of the wave function of a microscopic particle (such as a molecule in a liquid NMR sample), and separability of the density matrix cannot be used to measure the entanglement of mixed ensemble; iii) The state evolution in bulk-ensemble NMR quantum computation is quantum-mechanical; iv) The coefficient before the effective pure state density matrix, ?, is a measure of the simultaneity of the molecules in an ensemble. It reflects the intensity of the NMR signal and has no significance in quantifying the entanglement in the bulk ensemble NMR system. The decomposition of the density matrix into product states is only an indication that the ensemble can be prepared by an ensemble with the particles unentangled. We conclude that effective-pure-state NMR quantum computation is genuine, not just classical simulations.展开更多
Assuming that the regularity for the dynamic changes of the chrono-sequences of chemical element contents intree rings follows a k-order constant coefficient differential equation and substituting the differential wit...Assuming that the regularity for the dynamic changes of the chrono-sequences of chemical element contents intree rings follows a k-order constant coefficient differential equation and substituting the differential with the differ-ence, we could obtain the inferred value y_(m+k+1) by the formula: Each coefficient c_i in the formula may be ascertained by use of the measured data in the chrono-sequences. Ex-tending the chrono-sequences on the assumption that the regularity of dynamic changes wouldn't change in the nearfuture, the contents of chemical elements in the soils may be predicted in termis of a logarithmic linear correlationmodel. Also, this extension method could be used for the reproduction of the contents of chemical elements in soilsduring different periods of time in the past.展开更多
A kind of carbon-bering refractory (MA-C1) has been developed for smelting-reduction iron-making process and its physical chemistry properties were measured,Smilting-reduction slag (15 wt% FeO) resistance of the devel...A kind of carbon-bering refractory (MA-C1) has been developed for smelting-reduction iron-making process and its physical chemistry properties were measured,Smilting-reduction slag (15 wt% FeO) resistance of the developed refractory has been compared with commercially available refractories by curcible test,static slag soaking test and fractal dimension analyses,The results show that slag resistance of the developed refractories(MA-C1) is better than those of alumina-carbon refractory (AM-C1),alumina-magnasia-carbon brick (AM0(J)) ,and Si3N4-SiC brick.展开更多
A method for obtaining the small current quark mass dependence of the dressed quark propagator from an effective quark-quark interaction model is developed. Within this approach the small current quark mass effects on...A method for obtaining the small current quark mass dependence of the dressed quark propagator from an effective quark-quark interaction model is developed. Within this approach the small current quark mass effects on dressed-quark propagator have been studied. A comparison with previous results is given.展开更多
文摘The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invariant subspaces and the quotient spaces. From Fock representations corresponding to these indecomposable representations, the inhomogeneous boson realizations of are given. The expectation values of in the angular momentum coherent states are calculated as well as the corresponding classical limits.
文摘The quantum nature of bulk ensemble NMR quantum computing — the center of recent heated debate, is addressed. Concepts of the mixed state and entanglement are examined, and the data in a two-qubit liquid NMR quantum computation are analyzed. The main points in this paper are: i) Density matrix describes the 'state' of an average particle in an ensemble. It does not describe the state of an individual particle in an ensemble; ii) Entanglement is a property of the wave function of a microscopic particle (such as a molecule in a liquid NMR sample), and separability of the density matrix cannot be used to measure the entanglement of mixed ensemble; iii) The state evolution in bulk-ensemble NMR quantum computation is quantum-mechanical; iv) The coefficient before the effective pure state density matrix, ?, is a measure of the simultaneity of the molecules in an ensemble. It reflects the intensity of the NMR signal and has no significance in quantifying the entanglement in the bulk ensemble NMR system. The decomposition of the density matrix into product states is only an indication that the ensemble can be prepared by an ensemble with the particles unentangled. We conclude that effective-pure-state NMR quantum computation is genuine, not just classical simulations.
文摘Assuming that the regularity for the dynamic changes of the chrono-sequences of chemical element contents intree rings follows a k-order constant coefficient differential equation and substituting the differential with the differ-ence, we could obtain the inferred value y_(m+k+1) by the formula: Each coefficient c_i in the formula may be ascertained by use of the measured data in the chrono-sequences. Ex-tending the chrono-sequences on the assumption that the regularity of dynamic changes wouldn't change in the nearfuture, the contents of chemical elements in the soils may be predicted in termis of a logarithmic linear correlationmodel. Also, this extension method could be used for the reproduction of the contents of chemical elements in soilsduring different periods of time in the past.
文摘A kind of carbon-bering refractory (MA-C1) has been developed for smelting-reduction iron-making process and its physical chemistry properties were measured,Smilting-reduction slag (15 wt% FeO) resistance of the developed refractory has been compared with commercially available refractories by curcible test,static slag soaking test and fractal dimension analyses,The results show that slag resistance of the developed refractories(MA-C1) is better than those of alumina-carbon refractory (AM-C1),alumina-magnasia-carbon brick (AM0(J)) ,and Si3N4-SiC brick.
文摘A method for obtaining the small current quark mass dependence of the dressed quark propagator from an effective quark-quark interaction model is developed. Within this approach the small current quark mass effects on dressed-quark propagator have been studied. A comparison with previous results is given.
