We investigate the many-body wave function of a quantum system with time-dependent effective mass, confined by a harmonic potential with time-dependent frequency, and perturbed by a time-dependent spatially homogeneou...We investigate the many-body wave function of a quantum system with time-dependent effective mass, confined by a harmonic potential with time-dependent frequency, and perturbed by a time-dependent spatially homogeneous electric field. It is found that the wave function is comprised of a phase factor times the solution to the unperturbed time-dependent Schr6dinger equation with the latter being translated by a time-dependent value that satisfies the classical driven equation of motion. The wave function reduces to that of the harmonic potential theorem wave function when both the effective mass and frequency are static. An example of application is also given.展开更多
We investigate the thermodynamic properties of an ideal charged Bose gas confined in an anisotropic harmonic po- tential and a constant magnetic field. Using an accurate density of states, we calculate analytically th...We investigate the thermodynamic properties of an ideal charged Bose gas confined in an anisotropic harmonic po- tential and a constant magnetic field. Using an accurate density of states, we calculate analytically the thermodynamic potential and consequently various intriguing thermodynamic properties, including the Bose-Einstein transition tempera- ture, the specific heat, magnetization, and the corrections to these quantities due to the finite number of particles are also given explicitly. In contrast to the infinite number of particles scenarios, we show that those thermodynamic properties, particularly the Bose-Einstein transition temperature depends upon the strength of the magnetic field due to the finiteness of the particle numbers, and the collective effects of a finite number of particles become larger when the particle number decreases. Moreover, the magnetization varies with the temperature due to the finiteness of the particle number while it keeps invariant in the thermodynamic limit N -∞.展开更多
目的建立胎儿脐静脉血流率与脐动脉搏动指数比值(VAI)的正常参考值范围。方法随机选取2018年10月至2020年12月在广西壮族自治区妇幼保健院行产前检查并分娩的816例正常胎儿。通过测量胎儿双顶径、头围、腹围及股骨长获取胎儿体重;测量...目的建立胎儿脐静脉血流率与脐动脉搏动指数比值(VAI)的正常参考值范围。方法随机选取2018年10月至2020年12月在广西壮族自治区妇幼保健院行产前检查并分娩的816例正常胎儿。通过测量胎儿双顶径、头围、腹围及股骨长获取胎儿体重;测量腹内段脐静脉血流量(Quv);获取羊水中游离段脐动脉血流搏动指数(UA-PI);将Quv按照胎儿体型标准化,计算脐静脉血流率(nQuv)、VAI。采用相关性分析法分析Quv、nQuv、UA-PI、VAI与胎儿孕周的相关性;统计VAI以±s表示,取95%参考值上限及5%参考值下限作为VAI增高和减低的标准。将VAI低于正常值参考值5%的26例胎儿及VAI高于正常值参考值95%的20例胎儿纳入病例组。结果①胎儿Quv与孕周呈正相关(r=0.893,P<0.001),nQuv、UA-PI与孕周呈负相关(r=-0.552、-0.827,均P<0.001),VAI与孕周无明显相关性(r=0.000,P=0.758)。②VAI均值、标准差、5%参考值下限、95%参考值上限分别为195.81、55.61、105.95、293.33。③VAI异常病例组中26例VAI减低(孕妇高血压疾病16例,并发重度子痫前期13例,并发子痫前期1例,脐带扭转40圈1例,死胎3例,早产16例,新生儿低出生体重19例,1 min Apgar评分≤7分4例,脐动脉血pH<7.2者6例,孕期母体胎儿及随访新生儿均无异常1例);20例VAI增高(胎儿重型α-地中海贫血10例,地中海贫血2例,骶尾部畸胎瘤1例,门体静脉分流1例,胎盘绒毛膜血管瘤3例,孕期母体胎儿及随访新生儿均无异常3例)。结论胎儿VAI的测量、计算简单易行,作为一个综合指标在中晚孕期保持恒定,便于异常胎儿的追踪观察,具有潜在的临床应用价值。展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 11275100the K.C.Wong Magna Foundation of Ningbo University
文摘We investigate the many-body wave function of a quantum system with time-dependent effective mass, confined by a harmonic potential with time-dependent frequency, and perturbed by a time-dependent spatially homogeneous electric field. It is found that the wave function is comprised of a phase factor times the solution to the unperturbed time-dependent Schr6dinger equation with the latter being translated by a time-dependent value that satisfies the classical driven equation of motion. The wave function reduces to that of the harmonic potential theorem wave function when both the effective mass and frequency are static. An example of application is also given.
基金supported by the National Natural Science Foundation of China(Grant No.11375090)the K.C.Wong Magna Foundation of Ningbo University,China
文摘We investigate the thermodynamic properties of an ideal charged Bose gas confined in an anisotropic harmonic po- tential and a constant magnetic field. Using an accurate density of states, we calculate analytically the thermodynamic potential and consequently various intriguing thermodynamic properties, including the Bose-Einstein transition tempera- ture, the specific heat, magnetization, and the corrections to these quantities due to the finite number of particles are also given explicitly. In contrast to the infinite number of particles scenarios, we show that those thermodynamic properties, particularly the Bose-Einstein transition temperature depends upon the strength of the magnetic field due to the finiteness of the particle numbers, and the collective effects of a finite number of particles become larger when the particle number decreases. Moreover, the magnetization varies with the temperature due to the finiteness of the particle number while it keeps invariant in the thermodynamic limit N -∞.
文摘目的建立胎儿脐静脉血流率与脐动脉搏动指数比值(VAI)的正常参考值范围。方法随机选取2018年10月至2020年12月在广西壮族自治区妇幼保健院行产前检查并分娩的816例正常胎儿。通过测量胎儿双顶径、头围、腹围及股骨长获取胎儿体重;测量腹内段脐静脉血流量(Quv);获取羊水中游离段脐动脉血流搏动指数(UA-PI);将Quv按照胎儿体型标准化,计算脐静脉血流率(nQuv)、VAI。采用相关性分析法分析Quv、nQuv、UA-PI、VAI与胎儿孕周的相关性;统计VAI以±s表示,取95%参考值上限及5%参考值下限作为VAI增高和减低的标准。将VAI低于正常值参考值5%的26例胎儿及VAI高于正常值参考值95%的20例胎儿纳入病例组。结果①胎儿Quv与孕周呈正相关(r=0.893,P<0.001),nQuv、UA-PI与孕周呈负相关(r=-0.552、-0.827,均P<0.001),VAI与孕周无明显相关性(r=0.000,P=0.758)。②VAI均值、标准差、5%参考值下限、95%参考值上限分别为195.81、55.61、105.95、293.33。③VAI异常病例组中26例VAI减低(孕妇高血压疾病16例,并发重度子痫前期13例,并发子痫前期1例,脐带扭转40圈1例,死胎3例,早产16例,新生儿低出生体重19例,1 min Apgar评分≤7分4例,脐动脉血pH<7.2者6例,孕期母体胎儿及随访新生儿均无异常1例);20例VAI增高(胎儿重型α-地中海贫血10例,地中海贫血2例,骶尾部畸胎瘤1例,门体静脉分流1例,胎盘绒毛膜血管瘤3例,孕期母体胎儿及随访新生儿均无异常3例)。结论胎儿VAI的测量、计算简单易行,作为一个综合指标在中晚孕期保持恒定,便于异常胎儿的追踪观察,具有潜在的临床应用价值。
