We investigate the quantum fluctuation characteristic for time dependent regular loss modulated optical parametric amplifier for below and above threshold regions. It is found that a high squeezing and entanglement ca...We investigate the quantum fluctuation characteristic for time dependent regular loss modulated optical parametric amplifier for below and above threshold regions. It is found that a high squeezing and entanglement can be achieved.展开更多
In this paper. we study the endomorphism rings of regular modules.We give sufficient conditions on a regular projective module P such that End_R(P) has stable range one.
It is well known that Hall polynomials as structural coefficients play an important role in the structure of Lie algebras and quantum groups. By using the properties of representation categories of affine quivers, the...It is well known that Hall polynomials as structural coefficients play an important role in the structure of Lie algebras and quantum groups. By using the properties of representation categories of affine quivers, the task of computing Hall polynomials for affine quivers can be reduced to counting the numbers of solutions of some matrix equations. This method has been applied to obtain Hall polynomials for indecomposable representations of quivers of type Am（m≥1）展开更多
基金Project supported by the State Key Laboratory of Quantum Optics and Quantum Optics Devices,Shanxi University,Shanxi,China (Grant No. 200904)
文摘We investigate the quantum fluctuation characteristic for time dependent regular loss modulated optical parametric amplifier for below and above threshold regions. It is found that a high squeezing and entanglement can be achieved.
基金The author is supported by the NNSF of China (No. 19601009)
文摘In this paper. we study the endomorphism rings of regular modules.We give sufficient conditions on a regular projective module P such that End_R(P) has stable range one.
文摘It is well known that Hall polynomials as structural coefficients play an important role in the structure of Lie algebras and quantum groups. By using the properties of representation categories of affine quivers, the task of computing Hall polynomials for affine quivers can be reduced to counting the numbers of solutions of some matrix equations. This method has been applied to obtain Hall polynomials for indecomposable representations of quivers of type Am（m≥1）
