针对电大金属目标的电磁计算,提出了一种新的矩量法-物理光学(Method of Moment-Physical Optics,MoM-PO)混合方法,以解决传统的MoM-PO混合法中PO区域和MoM区域耦合项的计算时间过长问题.用Gordon积分计算目标的PO区域对MoM区域的作用,...针对电大金属目标的电磁计算,提出了一种新的矩量法-物理光学(Method of Moment-Physical Optics,MoM-PO)混合方法,以解决传统的MoM-PO混合法中PO区域和MoM区域耦合项的计算时间过长问题.用Gordon积分计算目标的PO区域对MoM区域的作用,并加入近场近似处理.该方法避免了传统的MoM-PO混合法中耦合项积分方程的计算,加大PO区域的剖分面元的大小,能够有效地降低矩阵规模和未知数个数,因而降低了内存,减少了计算时间.数值算例结果表明,近场Gordon积分近似的MoM-PO混合方法能够有效地减少耦合项的计算时间,并能达到理想的精度.展开更多
The free energy at low temperature in 1D sine-Gordon-Thirring model with impurity coupling is studied by means of functional integrals method. For massive free sine-Gordon-Thirring model, free energy is obtained from ...The free energy at low temperature in 1D sine-Gordon-Thirring model with impurity coupling is studied by means of functional integrals method. For massive free sine-Gordon-Thirring model, free energy is obtained from perturbation expansion of functional determinant. Moreover, the free energy of massive model is calculated by use of an auxiliary Bose field method.展开更多
In this article, we study the Lax pairs of -dimensional equation: the modified generalized dispersive long wave (MGDLW) equation. Based on the well-known binary Darboux transformation, we dig out the recursion formula...In this article, we study the Lax pairs of -dimensional equation: the modified generalized dispersive long wave (MGDLW) equation. Based on the well-known binary Darboux transformation, we dig out the recursion formulas of the first part of the Lax pairs. Then by further discussion and doing some revisional work, we make the recursion formulas fit for the second part of Lax pairs. At last, some solutions to the MGDLW equation are worked out by using the recursion formula.展开更多
Quantum measurement problem has existed many years and inspired a large of literature in both physics and philosophy,but there is still no conclusion and consensus on it.We show it can be subsumed into the quantum the...Quantum measurement problem has existed many years and inspired a large of literature in both physics and philosophy,but there is still no conclusion and consensus on it.We show it can be subsumed into the quantum theory if we extend the Feynman path integral by considering the relativistic effect of Feynman paths.According to this extended theory,we deduce not only the Klein-Gordon equation,but also the wave-function-collapse equation.It is shown that the stochastic and instantaneous collapse of the quantum measurement is due to the "potential noise" of the apparatus or environment and "inner correlation" of wave function respectively.Therefore,the definite-status of the macroscopic matter is due to itself and this does not disobey the quantum mechanics.This work will give a new recognition for the measurement problem.展开更多
文摘针对电大金属目标的电磁计算,提出了一种新的矩量法-物理光学(Method of Moment-Physical Optics,MoM-PO)混合方法,以解决传统的MoM-PO混合法中PO区域和MoM区域耦合项的计算时间过长问题.用Gordon积分计算目标的PO区域对MoM区域的作用,并加入近场近似处理.该方法避免了传统的MoM-PO混合法中耦合项积分方程的计算,加大PO区域的剖分面元的大小,能够有效地降低矩阵规模和未知数个数,因而降低了内存,减少了计算时间.数值算例结果表明,近场Gordon积分近似的MoM-PO混合方法能够有效地减少耦合项的计算时间,并能达到理想的精度.
基金The project supported by the Natural Science Foundation of Sichuan Normal University
文摘The free energy at low temperature in 1D sine-Gordon-Thirring model with impurity coupling is studied by means of functional integrals method. For massive free sine-Gordon-Thirring model, free energy is obtained from perturbation expansion of functional determinant. Moreover, the free energy of massive model is calculated by use of an auxiliary Bose field method.
基金The project supported by National Natural Science Foundation of China under Grant No.10101025
文摘In this article, we study the Lax pairs of -dimensional equation: the modified generalized dispersive long wave (MGDLW) equation. Based on the well-known binary Darboux transformation, we dig out the recursion formulas of the first part of the Lax pairs. Then by further discussion and doing some revisional work, we make the recursion formulas fit for the second part of Lax pairs. At last, some solutions to the MGDLW equation are worked out by using the recursion formula.
基金Supported by the National Basic Research Program of China (973 Program) under Grant No. G2009CB929300the National Natural Science Foundation of China under Grant Nos. 10905016,10874013,60776061 and 60821061
文摘Quantum measurement problem has existed many years and inspired a large of literature in both physics and philosophy,but there is still no conclusion and consensus on it.We show it can be subsumed into the quantum theory if we extend the Feynman path integral by considering the relativistic effect of Feynman paths.According to this extended theory,we deduce not only the Klein-Gordon equation,but also the wave-function-collapse equation.It is shown that the stochastic and instantaneous collapse of the quantum measurement is due to the "potential noise" of the apparatus or environment and "inner correlation" of wave function respectively.Therefore,the definite-status of the macroscopic matter is due to itself and this does not disobey the quantum mechanics.This work will give a new recognition for the measurement problem.
