Evolution of Arbitrary States under Fock-Darwin Hamiltonian and a Time-Dependent Electric Field

The method of path integral is employed to calculate the time evolution of the eigenstates of a charged particle under the Fock-Darwin(FD) Hamiltonian subjected to a time-dependent electric field in the plane of the system.An exact analytical expression is established for the evolution of the eigenstates.This result then provides a general solution to the time-dependent Schro¨dinger equation.

Exact Propagator for the Anisotropic Two-Dimensional Charged Harmonic Oscillator in a Constant Magnetic Field and an Arbitrary Electric Field

The propagator for an anisotropic two-dimension charged harmonic oscillator in the presence of a constant external magnetic field and a time-dependent electric field is exactly evaluated.Various special cases appearing in the literature can be obtained by properly setting the values of the parameters in our results.

帕金森病嗅觉障碍与认知功能关系的Meta分析

目的系统评价嗅觉功能障碍与帕金森病(PD)认知功能的关系。方法计算机检索中国知网、万方数据、中国生物医学文献数据库、PubMed、Embase、Cochrane Library和Web of Science数据库,搜集PD患者嗅觉功能障碍和认知功能关系的病例对照研究,检索从建库至2021年11月,依据纳入和排除标准筛选文献、质量评价后采用Revman 5.4软件及Stata 14进行Meta分析。结果最终纳入10篇研究,共包括1568名受试对象,其中嗅觉障碍组(PD-OD组)884例,嗅觉正常组(PD-NOD组)684例。与对照组相比PD-OD组认知评分更低[SMD=-0.45,95%CI(-0.62,-0.28),P<0.01],在不同认知域得分比较中,与PD-NOD组相比,PD-OD组在记忆[SMD=-0.71,95%CI(-0.90,-0.51),P<0.01]、执行[SMD=-0.46,95%CI(-0.80,-0.12),P<0.01]、语言[SMD=-0.41,95%CI(-0.71,-0.11),P<0.01]、注意与工作记忆[SMD=-0.27,95%CI(-0.48,-0.06),P<0.01]、视空间功能[SMD=-0.45,95%CI(-0.78,-0.11),P<0.01]五方面得分均较低。结论PD患者认知功能下降与嗅觉功能障碍有关。在对PD患者实施促进认知功能的干预措施时应重点关注已出现嗅觉障碍的患者。