In the present work, through the path integral of Gaussian type correlation function, a new formalism based on Fermi-Golden Rule for calculating the rate constant of nonradiative decay process with Duschinsky rotation...In the present work, through the path integral of Gaussian type correlation function, a new formalism based on Fermi-Golden Rule for calculating the rate constant of nonradiative decay process with Duschinsky rotation effect in polyatomic molecules is developed. The advantage of the present path-integral formalism is promoting-mode free. In order to get the rate constant, a "transition rate matrix" needs to be calculated. The rate constant calculated previously is only an approximation of diagonal elements of our "transition rate matrix " . The total rate should be the summation over all the matrix elements.展开更多
直接数字频率合成器(Direct Digital Synthesizer,DDS)在现代数字通信系统中有非常重要的应用。基于CORDIC算法的DDS在高速、高精度信号源领域已得到广泛应用,但传统的CORDIC算法存在迭代次数多、硬件消耗资源大、缩放因子补偿误差等问...直接数字频率合成器(Direct Digital Synthesizer,DDS)在现代数字通信系统中有非常重要的应用。基于CORDIC算法的DDS在高速、高精度信号源领域已得到广泛应用,但传统的CORDIC算法存在迭代次数多、硬件消耗资源大、缩放因子补偿误差等问题。文章提出固定角度的传统迭代预旋转和分段双步SF(Scaling-Free)CORDIC算法旋转方式,有效减少了算法的迭代次数,并且采用区间映射将收敛区间扩展到[0,2π]。结果表明,该算法在保持高计算精度的同时减少了迭代次数和面积消耗。基于此算法的DDS产生的正交信号具有精度高、噪声低、线性度好等优点。展开更多
In this paper,two fault tolerant channel-encrypting quantum dialogue(QD)protocols against collective noise are presented.One is against collective-dephasing noise,while the other is against collective-rotation noise.T...In this paper,two fault tolerant channel-encrypting quantum dialogue(QD)protocols against collective noise are presented.One is against collective-dephasing noise,while the other is against collective-rotation noise.The decoherent-free states,each of which is composed of two physical qubits,act as traveling states combating collective noise.Einstein-Podolsky-Rosen pairs,which play the role of private quantum key,are securely shared between two participants over a collective-noise channel in advance.Through encryption and decryption with private quantum key,the initial state of each traveling two-photon logical qubit is privately shared between two participants.Due to quantum encryption sharing of the initial state of each traveling logical qubit,the issue of information leakage is overcome.The private quantum key can be repeatedly used after rotation as long as the rotation angle is properly chosen,making quantum resource economized.As a result,their information-theoretical efficiency is nearly up to 66.7%.The proposed QD protocols only need single-photon measurements rather than two-photon joint measurements for quantum measurements.Security analysis shows that an eavesdropper cannot obtain anything useful about secret messages during the dialogue process without being discovered.Furthermore,the proposed QD protocols can be implemented with current techniques in experiment.展开更多
Seismic observations shows that the inner core rotates faster than the mantle and the rotation axis of the inner core may not align with the rotation axis of the mantle. Free core nutation reflects core's informat...Seismic observations shows that the inner core rotates faster than the mantle and the rotation axis of the inner core may not align with the rotation axis of the mantle. Free core nutation reflects core's information. We discuss the effect of the inner core's differential rotation on free core nutation from two aspects: rotation speed and deflection angle. Our result shows it is in accordance with the observations when the inner core's rotation speed doesn't exceed 10° faster than mantle's per year, and the deflection angle is less than 1°,if the rotation speed and the deflection angle are respectively considered separately.展开更多
The rotation of the physical Earth not only obeys the law of conservation of angular momentum but follows also the three-finger rule of the right-handed system. The reference frame in the Earth is most essential. The ...The rotation of the physical Earth not only obeys the law of conservation of angular momentum but follows also the three-finger rule of the right-handed system. The reference frame in the Earth is most essential. The generalized Eulerian equation of motion or the Liouville equation is to represent global geodynamics in general, which is examined directly through the observation of the Earth’s rotation and surface motions, with no additional assumptions after fundamental physics. Rotational acceleration, polar motion, plate tectonics, and seismicity observed on the Earth’s surface indicate that the Earth’s angular momentum is perturbed and adjusting independently of external torques. (For more information,please refer to the PDF.)展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos. 10425420, 20433070 and 90503013)
文摘In the present work, through the path integral of Gaussian type correlation function, a new formalism based on Fermi-Golden Rule for calculating the rate constant of nonradiative decay process with Duschinsky rotation effect in polyatomic molecules is developed. The advantage of the present path-integral formalism is promoting-mode free. In order to get the rate constant, a "transition rate matrix" needs to be calculated. The rate constant calculated previously is only an approximation of diagonal elements of our "transition rate matrix " . The total rate should be the summation over all the matrix elements.
文摘直接数字频率合成器(Direct Digital Synthesizer,DDS)在现代数字通信系统中有非常重要的应用。基于CORDIC算法的DDS在高速、高精度信号源领域已得到广泛应用,但传统的CORDIC算法存在迭代次数多、硬件消耗资源大、缩放因子补偿误差等问题。文章提出固定角度的传统迭代预旋转和分段双步SF(Scaling-Free)CORDIC算法旋转方式,有效减少了算法的迭代次数,并且采用区间映射将收敛区间扩展到[0,2π]。结果表明,该算法在保持高计算精度的同时减少了迭代次数和面积消耗。基于此算法的DDS产生的正交信号具有精度高、噪声低、线性度好等优点。
基金supported by the National Natural Science Foundation of China(Grant Nos.61402407 and 11375152)
文摘In this paper,two fault tolerant channel-encrypting quantum dialogue(QD)protocols against collective noise are presented.One is against collective-dephasing noise,while the other is against collective-rotation noise.The decoherent-free states,each of which is composed of two physical qubits,act as traveling states combating collective noise.Einstein-Podolsky-Rosen pairs,which play the role of private quantum key,are securely shared between two participants over a collective-noise channel in advance.Through encryption and decryption with private quantum key,the initial state of each traveling two-photon logical qubit is privately shared between two participants.Due to quantum encryption sharing of the initial state of each traveling logical qubit,the issue of information leakage is overcome.The private quantum key can be repeatedly used after rotation as long as the rotation angle is properly chosen,making quantum resource economized.As a result,their information-theoretical efficiency is nearly up to 66.7%.The proposed QD protocols only need single-photon measurements rather than two-photon joint measurements for quantum measurements.Security analysis shows that an eavesdropper cannot obtain anything useful about secret messages during the dialogue process without being discovered.Furthermore,the proposed QD protocols can be implemented with current techniques in experiment.
基金supported by the National Natural Science Foundation of China (11373058/11773058/10903023/11133004)the CAS Key Lab of Planetary Science
文摘Seismic observations shows that the inner core rotates faster than the mantle and the rotation axis of the inner core may not align with the rotation axis of the mantle. Free core nutation reflects core's information. We discuss the effect of the inner core's differential rotation on free core nutation from two aspects: rotation speed and deflection angle. Our result shows it is in accordance with the observations when the inner core's rotation speed doesn't exceed 10° faster than mantle's per year, and the deflection angle is less than 1°,if the rotation speed and the deflection angle are respectively considered separately.
文摘The rotation of the physical Earth not only obeys the law of conservation of angular momentum but follows also the three-finger rule of the right-handed system. The reference frame in the Earth is most essential. The generalized Eulerian equation of motion or the Liouville equation is to represent global geodynamics in general, which is examined directly through the observation of the Earth’s rotation and surface motions, with no additional assumptions after fundamental physics. Rotational acceleration, polar motion, plate tectonics, and seismicity observed on the Earth’s surface indicate that the Earth’s angular momentum is perturbed and adjusting independently of external torques. (For more information,please refer to the PDF.)
