文章以曾在哈尔滨生活过多年,并随哈尔滨交响乐团赴日本演出的、已故美国南加州大学教授彼得·伯尔顿(Peter A. Berton,1922-2014)有关哈尔滨音乐生活的文章和回忆为主,佐以《以色列原居中国犹太人协会简报》、国外哈尔滨犹太人网...文章以曾在哈尔滨生活过多年,并随哈尔滨交响乐团赴日本演出的、已故美国南加州大学教授彼得·伯尔顿(Peter A. Berton,1922-2014)有关哈尔滨音乐生活的文章和回忆为主,佐以《以色列原居中国犹太人协会简报》、国外哈尔滨犹太人网站、美国大屠杀博物馆网站上的相关通讯、照片和文字,来重构20世纪20-40年代哈尔滨的音乐生活。作为哈尔滨音乐活动的参与者与见证者,伯尔顿的回忆不仅为我们研究那个时代哈尔滨都市声音景,观提供了珍贵的第一手资料,对我们了解当时哈尔滨专业及社会音乐的发展、音乐社团、音乐与政治、从哈尔滨走向世界的音乐家等也提供了鲜活的例证。展开更多
The Majorana representation, which represents a quantum state by stars on the Bloch sphere, provides us an intuitive tool to study the quantum evolution in high dimensional Hilbert space. In this work, we investigate ...The Majorana representation, which represents a quantum state by stars on the Bloch sphere, provides us an intuitive tool to study the quantum evolution in high dimensional Hilbert space. In this work, we investigate the second quantized model and the mean-field model for the interacting-boson system in the Majorana representation. It is shown that the motions of states in the two models are same in the linear case. Furthermore, the contribution of the nonlinear interaction to the star motions in the second quantized model can be expressed by a single star part which is equal to the nonlinear part of the equation for the star in mean-field model under large boson number limit and an extra part caused by the correlation between stars. These differences and relations can not only be reflected by the population differences between the two boson modes in the two models, but also lie with the differences between the continuous changes of the second quantized evolution with the nonlinear interacting strength and the critical behavior of the mean-field evolution which related to the self-trapping effect. The reason of the difference between the two models is also discussed by an effective Hamiltonian.展开更多
文摘文章以曾在哈尔滨生活过多年,并随哈尔滨交响乐团赴日本演出的、已故美国南加州大学教授彼得·伯尔顿(Peter A. Berton,1922-2014)有关哈尔滨音乐生活的文章和回忆为主,佐以《以色列原居中国犹太人协会简报》、国外哈尔滨犹太人网站、美国大屠杀博物馆网站上的相关通讯、照片和文字,来重构20世纪20-40年代哈尔滨的音乐生活。作为哈尔滨音乐活动的参与者与见证者,伯尔顿的回忆不仅为我们研究那个时代哈尔滨都市声音景,观提供了珍贵的第一手资料,对我们了解当时哈尔滨专业及社会音乐的发展、音乐社团、音乐与政治、从哈尔滨走向世界的音乐家等也提供了鲜活的例证。
基金Supported by the National Natural Science Foundation of China under Grant Nos.11405008,11175044the Plan for Scientific and Technological Development of Jilin Province under Grant No.20160520173JH
文摘The Majorana representation, which represents a quantum state by stars on the Bloch sphere, provides us an intuitive tool to study the quantum evolution in high dimensional Hilbert space. In this work, we investigate the second quantized model and the mean-field model for the interacting-boson system in the Majorana representation. It is shown that the motions of states in the two models are same in the linear case. Furthermore, the contribution of the nonlinear interaction to the star motions in the second quantized model can be expressed by a single star part which is equal to the nonlinear part of the equation for the star in mean-field model under large boson number limit and an extra part caused by the correlation between stars. These differences and relations can not only be reflected by the population differences between the two boson modes in the two models, but also lie with the differences between the continuous changes of the second quantized evolution with the nonlinear interacting strength and the critical behavior of the mean-field evolution which related to the self-trapping effect. The reason of the difference between the two models is also discussed by an effective Hamiltonian.
