The Gaussian weighted trajectory method （GWTM） is a practical implementation of classical S matrix theory （CSMT） in the random phase approximation, CSMT being the first and simplest semi-classical approach of mole...The Gaussian weighted trajectory method （GWTM） is a practical implementation of classical S matrix theory （CSMT） in the random phase approximation, CSMT being the first and simplest semi-classical approach of molecular collisions, developped in the early seventies. Though very close in spirit to the purely classical description, GWTM accounts to some extent for the quantization of the different degrees-of-freedom involved in the processes. While CSMT may give diverging final state distributions, in relation to the rainbow effect of elastic scattering theory, GWTM has never led to such a mathematical catastrophe. The goal of the present note is to explain this finding.展开更多
Henan is a large agricultural province and one of China’s major grain-producing areas. Agricultural land transfer and large-scale operations will have a profound impact on regional economic development and food secur...Henan is a large agricultural province and one of China’s major grain-producing areas. Agricultural land transfer and large-scale operations will have a profound impact on regional economic development and food security. This is a case study taken in Xiwan village in Qinyang city, Henan. This paper builds a transferring pricing model using land use rights assessment and characteristic correction of land contract and management rights. Results show that the transferring price of land contract and management rights should include the economic price, social price and corrected price. The use of a price model should focus on the distinction of theory and practical application. If there is no change in agricultural project,the actual transferring price should be the sum of the economic price and social security price. If there is a change in agricultural projects,such as cropland into cash crops,the actual transferring price should be the sum of the economic price, social price and corrected price. Because of the complexity of income distribution following the transfer, transferring gains should follow a rational distribution in the outflow side, inflow side, managers and land owner. The government should establish reasonable and orderly contracted management of land circulation transferring and use this to build a land transferring price system.展开更多
The study of optomechanical systems has attracted much attention, most of which are concentrated in the physics in the smallamplitude regime. While in this article, we focus on optomechanics in the extremely-large-amp...The study of optomechanical systems has attracted much attention, most of which are concentrated in the physics in the smallamplitude regime. While in this article, we focus on optomechanics in the extremely-large-amplitude regime and consider both classical and quantum dynamics. Firstly, we study classical dynamics in a membrane-in-the-middle optomechanical system in which a partially reflecting and flexible membrane is suspended inside an optical cavity. We show that the membrane can present self-sustained oscillations with limit cycles in the shape of sawtooth-edged ellipses and exhibit dynamical multistability. Then, we study the dynamics of the quantum fluctuations around the classical orbits. By using the logarithmic negativity, we calculate the evolution of the quantum entanglement between the optical cavity mode and the membrane during the mechanical oscillation. We show that there is some synchronism between the classical dynamical process and the evolution of the quantum entanglement.展开更多
文摘The Gaussian weighted trajectory method （GWTM） is a practical implementation of classical S matrix theory （CSMT） in the random phase approximation, CSMT being the first and simplest semi-classical approach of molecular collisions, developped in the early seventies. Though very close in spirit to the purely classical description, GWTM accounts to some extent for the quantization of the different degrees-of-freedom involved in the processes. While CSMT may give diverging final state distributions, in relation to the rainbow effect of elastic scattering theory, GWTM has never led to such a mathematical catastrophe. The goal of the present note is to explain this finding.
基金Natural Sciences Foundation of China (No. 41130748)Key Knowledge Innovation Project of the CAS (No. KZCX2-EW-304)
文摘Henan is a large agricultural province and one of China’s major grain-producing areas. Agricultural land transfer and large-scale operations will have a profound impact on regional economic development and food security. This is a case study taken in Xiwan village in Qinyang city, Henan. This paper builds a transferring pricing model using land use rights assessment and characteristic correction of land contract and management rights. Results show that the transferring price of land contract and management rights should include the economic price, social price and corrected price. The use of a price model should focus on the distinction of theory and practical application. If there is no change in agricultural project,the actual transferring price should be the sum of the economic price and social security price. If there is a change in agricultural projects,such as cropland into cash crops,the actual transferring price should be the sum of the economic price, social price and corrected price. Because of the complexity of income distribution following the transfer, transferring gains should follow a rational distribution in the outflow side, inflow side, managers and land owner. The government should establish reasonable and orderly contracted management of land circulation transferring and use this to build a land transferring price system.
基金supported by the National Natural Science Foundation of China(Grant Nos.11175094 and 91221205)the National Key Basic Research Program of China(Grant No.2011CB9216002)
文摘The study of optomechanical systems has attracted much attention, most of which are concentrated in the physics in the smallamplitude regime. While in this article, we focus on optomechanics in the extremely-large-amplitude regime and consider both classical and quantum dynamics. Firstly, we study classical dynamics in a membrane-in-the-middle optomechanical system in which a partially reflecting and flexible membrane is suspended inside an optical cavity. We show that the membrane can present self-sustained oscillations with limit cycles in the shape of sawtooth-edged ellipses and exhibit dynamical multistability. Then, we study the dynamics of the quantum fluctuations around the classical orbits. By using the logarithmic negativity, we calculate the evolution of the quantum entanglement between the optical cavity mode and the membrane during the mechanical oscillation. We show that there is some synchronism between the classical dynamical process and the evolution of the quantum entanglement.
