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基于Gross情绪调节法则和情境构建的医院导诊APP设计研究 被引量:2
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作者 安春钰 严波 +1 位作者 郑镇华 石朋杰 《包装工程》 北大核心 2025年第2期146-155,188,共11页
目的 导诊APP是患者医院就诊过程中的重要辅助工具,但现有APP优劣各异,界面主次不清,就诊流程繁琐,为了有效挖掘用户使用导诊APP过程中的负面情绪和界面优化需求,并将其科学转化为产品功能,提出了一种基于Gross情绪调节法则和情境构建... 目的 导诊APP是患者医院就诊过程中的重要辅助工具,但现有APP优劣各异,界面主次不清,就诊流程繁琐,为了有效挖掘用户使用导诊APP过程中的负面情绪和界面优化需求,并将其科学转化为产品功能,提出了一种基于Gross情绪调节法则和情境构建的界面改良设计方法,以进一步提升导诊效率和APP可用性。方法 首先,通过调研获得某三甲医院导诊APP的使用情境和用户使用过程中的负面情绪,结合PAD情感模型和SAM量表对用户负面情绪进行定量分析;其次,利用Gross情绪调节法则提出对应设计方案并形成APP优化模块;最后,运用系统可用性量表(SUS)对改进前后方案进行评估测试。结果 以某三甲医院为例展开设计实践,优化后的设计方案操作总用时缩短,界面可用性得到有效提高。结论 基于Gross情绪调节法则和情境构建的设计方法运用于导诊APP改良设计,能够更精确挖掘用户自助就医过程中的负面情绪痛点并优化产品功能,充分发挥情境与情绪在用户行为上的作用,为医院导诊APP设计提供新思路。 展开更多
关键词 gross情绪调节法则 情境构建 导诊APP 用户负面情绪
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基于一维Gross-Pitaevskii方程的量子隧穿问题研究
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作者 武建安 方爱平 +5 位作者 刘禹豪 史成宇 李荣 蒋臣威 张修兴 王小力 《大学物理》 2025年第10期80-88,共9页
基于分裂算符法对一维Gross-Pitaevskii方程进行了数值求解,将进出势垒时波函数模方的最大值对应的时刻差值定义为量子隧穿时间,得到了其亮孤子解在不同能量下通过一个确定宽度的高斯型势垒的隧穿时间以及隧穿概率.研究发现,在入射波包... 基于分裂算符法对一维Gross-Pitaevskii方程进行了数值求解,将进出势垒时波函数模方的最大值对应的时刻差值定义为量子隧穿时间,得到了其亮孤子解在不同能量下通过一个确定宽度的高斯型势垒的隧穿时间以及隧穿概率.研究发现,在入射波包能量小于势垒高度时,隧穿时间随入射能量的增大而增大;入射波包能量大于势垒高度时,隧穿时间与波包速度成反比.此外,我们还研究了在不同能量范围内,势垒做小幅度振动时,振动频率对量子隧穿时间以及隧穿概率的影响,观察到了在入射波包能量小于势垒高度的量子状态下,势垒振动频率的不同引起了隧穿时间较大幅度的震荡. 展开更多
关键词 量子隧穿时间 一维gross-Pitaevskii方程 玻色-爱因斯坦凝聚体 分裂算符法
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耦合Gross-Pitaevskii方程的一类时间高精度守恒型数值格式
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作者 李鑫 张蓉蓉 阮德清 《计算物理》 北大核心 2025年第5期588-596,共9页
本文在传统拉格朗日乘子方法的基础上,提出一种改进的拉格朗日乘子法,借助优化思想,对耦合Gross-Pitaevskii方程设计一类时间方向高精度的守恒型数值格式。整个格式由两部分组成:1)利用高精度半隐格式离散原始模型作预测;2)利用相同方... 本文在传统拉格朗日乘子方法的基础上,提出一种改进的拉格朗日乘子法,借助优化思想,对耦合Gross-Pitaevskii方程设计一类时间方向高精度的守恒型数值格式。整个格式由两部分组成:1)利用高精度半隐格式离散原始模型作预测;2)利用相同方案近似优化模型作校正。搭配适当的空间高精度保结构离散,全离散数值格式具有时空高精度特性,并自然地满足离散情形下原模型的质量和能量守恒。相关数值实验验证了新方法的有效性。 展开更多
关键词 耦合gross-Pitaevskii方程 改进的拉格朗日乘子方法 优化模型 时间高精度离散 守恒律
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Gross情绪调节理论结合三维适性支持对主动脉夹层手术患者负性情绪及睡眠质量的影响
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作者 孙姣姣 《世界睡眠医学杂志》 2025年第7期1618-1621,共4页
目的:分析Gross情绪调节理论结合三维适性支持对主动脉夹层手术患者负性情绪及睡眠质量的影响。方法:选取2022年1月至2025年1月安徽省蚌埠医科大学第一附属医院收治的主动脉夹层手术患者60例作为研究对象,按照随机数字表法随机分为对照... 目的:分析Gross情绪调节理论结合三维适性支持对主动脉夹层手术患者负性情绪及睡眠质量的影响。方法:选取2022年1月至2025年1月安徽省蚌埠医科大学第一附属医院收治的主动脉夹层手术患者60例作为研究对象,按照随机数字表法随机分为对照组和观察组,每组30例。对照组行常规护理,观察组行Gross情绪调节理论结合三维适性支持护理。比较2组负性情绪、睡眠质量匹兹堡睡眠量表(PSQI)、多导睡眠监测指标。结果:护理后,与对照组比较,观察组负性情绪评分更低,PSQI评分更低,多导睡眠监测指标更优(P<0.05)。结论:Gross情绪调节理论结合三维适性支持护理,可改善主动脉夹层手术患者负性情绪、睡眠质量,优化睡眠结构。 展开更多
关键词 主动脉夹层 手术患者 gross情绪调节理论 三维适性支持 焦虑情绪 抑郁情绪 睡眠质量 多导睡眠监测
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Afforestation boosted gross primary productivity of China:evidence from remote sensing
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作者 Wei Yan Hesong Wang +3 位作者 Chao Jiang Osbert Jianxin Sun Jianmin Chu Anzhi Zhang 《Journal of Forestry Research》 2025年第3期58-71,共14页
Enhancing the carbon sink of terrestrial ecosystems is an essential nature-based solution to mitigate global warming and achieve the target of carbon neutrality.Over recent decades,China has launched a series of long-... Enhancing the carbon sink of terrestrial ecosystems is an essential nature-based solution to mitigate global warming and achieve the target of carbon neutrality.Over recent decades,China has launched a series of long-running and large-scale ambitious forestation projects.However,there is still a lack of year-to-year evaluation on the effects of afforestation on carbon sequestration.Satellite remote sensing provides continuous observations of vegetation dynamics and land use and land cover change,is becoming a practical tool to evaluate the changes of vegetation productivity driven by afforestation.Here,a spatially-explicit analysis was conducted by combining Moderate Resolution Imaging Spectroradiometer(MODIS)land cover and three up-to-date remote sensing gross primary productivity(GPP)datasets of China.The results showed that the generated afforestation maps have similar spatial distribution with the national forest inventory data at the provincial level.The accumulative areas of afforestation were 3.02×10^(5)km^(2)in China from 2002 to 2018,it was mainly distributed in Southwest(SW),South(Sou),Southeast(SE)and Northeast(NE)of China.Among them,SW possesses the largest afforestation sub-region,with an area of 9.38×10^(4)km^(2),accounting for 31.06%of the total.There were divergent trends of affores-tation area among different sub-regions.The southern sub-regions showed increasing trends,while the northern sub-regions showed decreasing trends.In keeping with these,the center of annual afforestation moved to the south after 2009.The southern sub-regions were the majority of the cumula-tive GPP,accounting for nearly 70%of the total.The GPP of new afforestation showed an increasing trend from 2002 to 2018,and the increasing rate was higher than existing forests.After afforestation,the GPP change of afforestation was higher than adjacent non-forest over the same period.Our work provides new evidence that afforestation of China has enhanced the carbon assimilation and will deepen our understanding of dynamics of carbon sequestration driven by afforestation. 展开更多
关键词 AFFORESTATION Remote sensing gross primary production TREND Planted forests
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Multi-brand strategy fuels Luolai's 45.97% gross margin in Q1
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作者 Qiu Shuchen 《China Textile》 2025年第3期34-37,共4页
Recently,Luolai Group released its Q12025 quarterly report.As a leading Chinese home textile enterprise listed on the Shenzhen Stock Exchange in 2009,the company covers the research,design,production,and sales of home... Recently,Luolai Group released its Q12025 quarterly report.As a leading Chinese home textile enterprise listed on the Shenzhen Stock Exchange in 2009,the company covers the research,design,production,and sales of home textile products,and has multiple brands covering different consumer markets.It has expanded its online and offline comprehensive multichannel sales system and is committed to creating a win-win home furnishings and textile industry ecosystem. 展开更多
关键词 multichannel sales ECOSYSTEM home furnishings gross margin home textile multi brand strategy quarterly report
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Sensitivity of gross primary production and evapotranspiration to heat and drought stress in a young temperate plantation in northern China
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作者 Hongxian Zhao Zeyuan Zhou +9 位作者 Feng Zhang Charles P.-A.Bourque Xin Jia Xinhao Li Peng Liu Haiqun Yu Yun Tian Chuan Jin Shaorong Hao Tianshan Zha 《Forest Ecosystems》 2025年第2期177-189,共13页
Assessing the sensitivities of ecosystem functions to climatic factors is essential to understanding the response of ecosystems to environmental change.Temperate plantation forests contribute to global greening and cl... Assessing the sensitivities of ecosystem functions to climatic factors is essential to understanding the response of ecosystems to environmental change.Temperate plantation forests contribute to global greening and climate change mitigation,yet little is known as to the sensitivity of gross primary production(GPP)and evapotranspiration(ET)of these forests to heat and drought stress.Based on near-continuous,eddy-covariance and hydrometeorological data from a young temperate plantation forest in Beijing,China(2012-2019),we used a slidingwindow-fitting technique to assess the seasonal and interannual variation in ecosystem sensitivity(i.e.,calculated slopes,S_(GPP-Ta),S_(ET-Ta),S_(GPP-EF),and S_(ET-EF))in GPP and ET to anomalies in air temperature(T_(a))and evaporative fraction(EF).The EF was used here as an indicator of drought.Seasonally,daily SGPP-Ta,SET-Ta,and SGPP-EF were greatest in summer,reaching maxima of 1.120.56 g C··m^(-2)·d^(-1)·℃^(-1),1.360.56 g H_(2)O·m^(-2)·d^(-1)·℃^(-1),and 0.370.35 g C·m^(-2)·d^(-1),respectively.Evapotranspiration was constrained by drought,especially during the spring-to-summer period,SET-EF reaching0.510.34 g H_(2)O·m^(-2)·d^(-1).Variables EF,T_(a),soil water content(SWC),vapor pressure deficit(VPD),and precipitation(PPT)were the main controls of sensitivity,with SGPP-Ta and SET-Ta increasing with Ta,VPD,and PPT(<50 mm·d^(-1))during both spring and autumn.Increased drought stress during summer caused the positive response in GPP and ET to decrease with atmospheric warming.Variable SET-EF intensified(i.e.,became more negative)with decreasing EF and increasing Ta.Interannually,annual S_(GPP-Ta)and S_(ET-Ta)were positive,S_(GPP-EF)near-neutral,and S_(ET-EF)negative.Interannual variability in S_(GPP-Ta),S_(ET-Ta),S_(ET-EF),and S_(GPP-EF)was largely due to variations in bulk surface conductance.Our study suggests that the dynamics associated with the sensitivity of ecosystems to changes in climatic factors need to be considered in the management of plantation forests under future global climate change. 展开更多
关键词 Climate change EVAPOTRANSPIRATION Forest plantation gross primary production Heat and drought stress Ecosystem sensitivity
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Gross情绪管理联合四主体云间沟通在胃癌手术患者中的应用
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作者 阮振娟 《医学理论与实践》 2025年第10期1775-1777,共3页
目的:观察Gross情绪管理联合四主体云间沟通在胃癌手术患者中的应用效果。方法:选择2023年1—12月于我院行根治术治疗的胃癌患者100例为观察样本,以随机数字表法分为试验组与对照组,各50例,对照组采用胃癌根治术常规护理模式,试验组加用... 目的:观察Gross情绪管理联合四主体云间沟通在胃癌手术患者中的应用效果。方法:选择2023年1—12月于我院行根治术治疗的胃癌患者100例为观察样本,以随机数字表法分为试验组与对照组,各50例,对照组采用胃癌根治术常规护理模式,试验组加用Gross情绪管理联合四主体云间沟通,对两组干预后的各观察指标进行比较。结果:护理后,试验组BDI评分、BAI评分、并发症发生率低于对照组,HPLP-Ⅱ评分、FACT-G评分高于对照组(P<0.05)。结论:采用Gross情绪管理联合四主体云间沟通对胃癌手术患者实施干预,可降低患者负性情绪,提升患者健康行为水准,控制并发症风险,提高生活质量。 展开更多
关键词 gross情绪管理 四主体云间沟通 胃癌 根治术
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Evolution of fretting wear behavior of zirconium alloy cladding tube under gross slip regime in simulated primary water of pressurized water reactor
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作者 Yusheng Zhang Hongliang Ming +3 位作者 Shuji Wang Bin Wu Jianqiu Wang En-Hou Han 《Journal of Materials Science & Technology》 2025年第17期276-289,共14页
The evolution of fretting wear behavior of zirconium alloy cladding tubes mated with dimples under the gross slip regime(GSR)was investigated.The findings revealed that the primary wear mechanisms under GSR were delam... The evolution of fretting wear behavior of zirconium alloy cladding tubes mated with dimples under the gross slip regime(GSR)was investigated.The findings revealed that the primary wear mechanisms under GSR were delamination,surface fatigue wear and abrasive wear,and the fretting damage rate mainly depends on delamination.The cross-sectional microstructure of the worn area could be divided into the third-body layer,tribologically transformed structure layer,and general deformation layer,with their formation mechanisms analyzed.Furthermore,the mechanism of wear-induced grain refinement was identified as dynamic recrystallization(DRX),including both continuous DRX and discontinuous DRX.Additionally,the processes of fretting wear and DRX were discussed. 展开更多
关键词 Grid-to-rod fretting gross slip regime Zirconium alloy tube Microstructural evolution Dynamic recrystallization
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Predicting gross primary productivity of poplar plantations based on solar-induced chlorophyll fluorescence using an improved machine learning model
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作者 Yiheng Wang Zhipeng Li +2 位作者 Jinsong Zhang Joanna Simms Xin Wang 《Forest Ecosystems》 2025年第6期1097-1109,共13页
Gross primary production(GPP)is closely associated with processes such as photosynthesis and transpiration within ecosystems,which is a vital component of the global carbon-water-energy cycle.Accurate prediction of GP... Gross primary production(GPP)is closely associated with processes such as photosynthesis and transpiration within ecosystems,which is a vital component of the global carbon-water-energy cycle.Accurate prediction of GPP in terrestrial ecosystems is essential for evaluating terrestrial carbon cycle processes.Machine learning(ML)models provide significant technical support in this domain.Presently,there is a deficiency of high-precision and robust GPP prediction variables and models.Challenges such as unclear contributions of predictive variables,extended model training durations,and limited robustness must be addressed.Solar-induced chlorophyll fluorescence(SIF),optimized multilayer perceptron neural networks,and ensemble learning models show the potential to overcome these challenges.This study aimed to develop an optimized multilayer perceptron neural network model and an ensemble learning model,while objectively assessing the capacity of SIF to predict GPP.Identifying robust models capable of enhancing the accuracy of GPP predictions was the ultimate goal.This study utilized continuous observations of SIF and meteorological data collected from 2020 to 2021 at a designated research observation station within the Populus plantation ecosystem of the Huanghuaihai agricultural protective forest system in Henan Province,China.By optimizing and evaluating the predictive accuracy and robustness of the models across different temporal scales(half-hourly and daily scales),a multi-layer perceptron(MLP)neural network optimization model based on the back propagation(BP)neural network(BPNN)algorithm(BP/MLP)and MLP and random forest(RF)integration(MLP-RF)ensemble models were constructed,utilizing SIF as the primary predictive variable for GPP.Both the BP/MLP(half-hourly scale model R^(2)=0.885,daily scale model R^(2)=0.921)and the MLP-RF(half-hourly scale model R^(2)=0.845,daily scale model R^(2)=0.914)models showed superior accuracy compared to the BPNN(half-hourly scale model R^(2)=0.841,daily scale model R^(2)=0.918)and the traditional RF(half-hourly scale model R^(2)=0.798,daily scale model R^(2)=0.867)models,with the BP/MLP model consistently outperforming the MLP-RF model.The BP/MLP model,which was optimized through particle swarm optimization(PSO),significantly enhanced the robustness of GPP predictions on a half-hourly scale and daily scale.Considering both half-hourly scale and daily scale in the PSO-BP/MLP modeling,the four indicators,light-use efficiency(LUE),photosynthetically active radiation(PAR),absorbed photosynthetically active radiation(APAR),and the variation in SIF with NIRvP(fSIF(NIRvP)),exhibited the potential for enhancing the accuracy of GPP predictions.This study employed a series of model optimization techniques to develop a GPP prediction model with enhanced performance that objectively evaluated the contributions of the predictive variables.This approach provided an innovative and effective method for assessing the carbon cycle in terrestrial ecosystems. 展开更多
关键词 gross primary productivity Solar-induced chlorophyll fluorescence(SIF) Integrated learning Particle swarm optimization(PSO) Predictive modeling
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Light Use Efficiency Model Based on Chlorophyll Content Better Captures Seasonal Gross Primary Production Dynamics of Deciduous Broadleaf Forests
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作者 YANG Rongjuan LIU Ronggao +3 位作者 LIU Yang CHEN Jingming XU Mingzhu HE Jiaying 《Chinese Geographical Science》 2025年第1期55-72,共18页
Gross primary production(GPP)is a crucial indicator representing the absorption of atmospheric CO_(2) by vegetation.At present,the estimation of GPP by remote sensing is mainly based on leaf-related vegetation indexes... Gross primary production(GPP)is a crucial indicator representing the absorption of atmospheric CO_(2) by vegetation.At present,the estimation of GPP by remote sensing is mainly based on leaf-related vegetation indexes and leaf-related biophysical para-meter leaf area index(LAI),which are not completely synchronized in seasonality with GPP.In this study,we proposed chlorophyll content-based light use efficiency model(CC-LUE)to improve GPP estimates,as chlorophyll is the direct site of photosynthesis,and only the light absorbed by chlorophyll is used in the photosynthetic process.The CC-LUE model is constructed by establishing a linear correlation between satellite-derived canopy chlorophyll content(Chlcanopy)and FPAR.This method was calibrated and validated utiliz-ing 7-d averaged in-situ GPP data from 14 eddy covariance flux towers covering deciduous broadleaf forest ecosystems across five dif-ferent climate zones.Results showed a relatively robust seasonal consistency between Chlcanopy with GPP in deciduous broadleaf forests under different climatic conditions.The CC-LUE model explained 88% of the in-situ GPP seasonality for all validation site-year and 56.0% of in-situ GPP variations through the growing season,outperforming the three widely used LUE models(MODIS-GPP algorithm,Vegetation Photosynthesis Model(VPM),and the eddy covariance-light use efficiency model(EC-LUE)).Additionally,the CC-LUE model(RMSE=0.50 g C/(m^(2)·d))significantly improved the underestimation of GPP during the growing season in semi-arid region,re-markably decreasing the root mean square error of averaged growing season GPP simulation and in-situ GPP by 75.4%,73.4%,and 37.5%,compared with MOD17(RMSE=2.03 g C/(m^(2)·d)),VPM(RMSE=1.88 g C/(m^(2)·d)),and EC-LUE(RMSE=0.80 g C/(m^(2)·d))model.The chlorophyll-based method proved superior in capturing the seasonal variations of GPP in forest ecosystems,thereby provid-ing the possibility of a more precise depiction of forest seasonal carbon uptake. 展开更多
关键词 canopy chlorophyll content(Chlcanopy) PHOTOSYNTHESIS gross primary production(GPP) light use efficiency(LUE)model seasonal dynamics deciduous broadleaf forest(DBF)
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基于Gross认知重评的机器人认知情感交互模型 被引量:14
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作者 韩晶 解仑 +2 位作者 刘欣 徐上谋 王志良 《东南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2015年第2期270-274,共5页
为了增强机器人的认知情感分析能力,依据AVS情感空间和有限状态机(FSM)提出了一种基于Gross认知重评策略的认知情感交互模型.首先,通过分析情感状态之间的欧式距离,研究外界情感刺激对情感状态转移概率的影响;然后,采用有限状态机描述... 为了增强机器人的认知情感分析能力,依据AVS情感空间和有限状态机(FSM)提出了一种基于Gross认知重评策略的认知情感交互模型.首先,通过分析情感状态之间的欧式距离,研究外界情感刺激对情感状态转移概率的影响;然后,采用有限状态机描述了受到认知重评策略影响的情感状态转移过程;最后,根据情感状态转移概率和7种基本情感的空间坐标,得出受到刺激后机器人情感状态的空间位置.实验结果表明,与不受认知重评策略影响的情感交互模型相比,所提模型能够减少机器人对外界情感刺激的依赖,从而有效地促进了和谐的人机交互体验. 展开更多
关键词 认知情感交互模型 情感状态转移概率 gross认知重评 AVS情感空间 有限状态机
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Effects of individualized therapeutic porgram with heatreinforcing needling in combination with Bobath therapy on gross motor dysfunction in children with cerebral palsy:a randomized controlled trial 被引量:8
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作者 张宁霞 王翔宇 +2 位作者 李匀博 刘桂珍 张红英 《World Journal of Acupuncture-Moxibustion》 2014年第1期26-31,共6页
Objective To explore the effect of heat-reinforcing acupuncture combined with Bobath rehabilita on training for the gross motor func on measurement(GMFM) in children with cerebral palsy. Methods Sixty cases of cereb... Objective To explore the effect of heat-reinforcing acupuncture combined with Bobath rehabilita on training for the gross motor func on measurement(GMFM) in children with cerebral palsy. Methods Sixty cases of cerebral palsy were randomized into a heat-reinforcing acupuncture combined with rehabilitation training group(group A) and a rehabilitation group(group B),30 cases in each group. Rehabilitation training was applied in group B and heat-reinforcing acupuncture was added in group A. Jiāji(夹脊 EX-B 2),Jiānyú(肩髃 LI 15),Qūchí(曲池 LI 11),Hégi(合谷 LI 4),Yánglíngquán(阳陵泉 GB 34),Yīnlíngquán(阴陵泉 SP 9),Xuánzhōng(悬钟 GB 39),Zúsānli(足三里 ST 36),Sānyīnjiāo(三阴交 SP 6),Chéngshān(承山 BL 57),Tài chōng(太冲 LR 3),Tàixī(太溪 KI 3) and Shénmén(神门 HT 4) were chosen in group A and the heat-reinforcing acupuncture was applied once a day. For scalp acupuncture,Biihuì(百会 GV 20),Sìshéncōng(四神聪 EX-HN 1),Zhìsānzhēn(智三针),Nǎosānzhēn(脑三针),Nièsānzhēn(颞三针) and motor area(运动区) were punctured without any manipulation,once every other day,3 months as a treatment course and 2 courses were needed. GMFM were selected to assess the children with cerebral palsy before treatment,a er 3 months treatment and a er 6 months treatment. Results The total eff ec ve rate in group A was 70.00%(21/30),which is superior to that of 60.00%(24/30) in group B(P0.05). In group A,the GMFM scores of decubitus position and turn-over of body,creeping and kneeling,sitting,standing,walking,running and jumping after6 months treatment were significantly improved compared with that before treatment and after 3 months treatment(all P0.05). In group B,above indices a er 6 months treatment were significantly improved compared with those before treatment,the standing score after 6 months treatment was significantly improved compared with that a er 3 months treatment(P0.05); the GMFM scores of creeping,kneeling,sitting,standing,walking,running and jumping after 6 months treatment in group A were more significantly improved than that in group B(all P0.05). Conclusion The heat-reinforcing acupuncture combined with Bobath rehabilita on training has a be er eff ect than rehabilitation training on the GMFM scores of creeping and kneeling,si ng,standing,walking,running and jumping of children with cerebral palsy. It can be shown that the combination of heat-reinforcing acupuncture and Bobath rehabilita on training can improve the gross motor func on of children with cerebral palsy. 展开更多
关键词 child cerebral palsy Bobath therapy heat-reinforcing needling gross motor func on measurement(GMFM)
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一类带阻尼项的Gross-Pitaevskii方程在二维空间中的坍塌性质 被引量:22
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作者 舒级 张健 《四川师范大学学报(自然科学版)》 CAS CSCD 2003年第2期120-123,共4页
研究一类描述吸引Bose Einstein凝聚(BEC)的阻尼Gross Pitaevskii(GP)方程iut=-Δu+|x|2u-|u|2u+iau,t≥0,x∈R2,a>0.从偏微分方程的严格理论出发,对照BEC的物理性质,应用并发展了M.Tsutsumi(SIAMJMathAnal,1984,15(2):357~366.... 研究一类描述吸引Bose Einstein凝聚(BEC)的阻尼Gross Pitaevskii(GP)方程iut=-Δu+|x|2u-|u|2u+iau,t≥0,x∈R2,a>0.从偏微分方程的严格理论出发,对照BEC的物理性质,应用并发展了M.Tsutsumi(SIAMJMathAnal,1984,15(2):357~366.)中的有关思想和方法,证明了上述GP方程其初值问题将在一定的条件下发生坍塌现象. 展开更多
关键词 Bose-Einstein凝聚(BEC) gross-Pitaevskii(GP)方程 阻尼 坍塌 调和势
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二维阻尼Gross-Pitaevskii(GP)方程的整体解 被引量:10
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作者 舒级 张健 《四川师范大学学报(自然科学版)》 CAS CSCD 2003年第1期23-26,共4页
考察一类描述吸引Bose Einstein凝聚(BEC)的二维阻尼Gross Pitaevskii(GP)方程iφt=-Δφ+|x|2φ-|φ|2φ+ia|φ|4φ,t≥0,x∈R2,a<0.借鉴文献(CommunMathPhys,1983,87:567~576.)关于经典Schr dinger方程研究的思想和结果,建... 考察一类描述吸引Bose Einstein凝聚(BEC)的二维阻尼Gross Pitaevskii(GP)方程iφt=-Δφ+|x|2φ-|φ|2φ+ia|φ|4φ,t≥0,x∈R2,a<0.借鉴文献(CommunMathPhys,1983,87:567~576.)关于经典Schr dinger方程研究的思想和结果,建立GP方程与一个经典的非线性数量场方程的对应关系,得到方程的整体解存在的一个充分条件. 展开更多
关键词 二维阻尼gross-Pitaevskii方程 BOSE-EINSTEIN凝聚 整体解 GP方程 非线性数量场方程
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含时线性势Gross-Piteavskii方程的孤立波解 被引量:3
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作者 石玉仁 许新建 +4 位作者 吴枝喜 汪映海 杨红娟 吕克璞 段文山 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第4期131-135,共5页
首先对双曲函数法进行了扩展,使其可用于求解变系数非线性演化方程,然后用此方法成功得到了Gross-Pitaevskii方程在某含时线性势下的两类精确解.结果表明在吸引势情形下,方程存在钟形包络孤立波解;在排斥势情形下,存在扭结形包络孤立波... 首先对双曲函数法进行了扩展,使其可用于求解变系数非线性演化方程,然后用此方法成功得到了Gross-Pitaevskii方程在某含时线性势下的两类精确解.结果表明在吸引势情形下,方程存在钟形包络孤立波解;在排斥势情形下,存在扭结形包络孤立波解.该方程可用来描述重力场中在随时间变化的外磁场作用下的玻色—爱因斯坦凝聚体的演化过程,故所得解具有重要的物理意义. 展开更多
关键词 gross-Piteavskii方程 扩展双曲函数法 精确解 孤立波解
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Gross-Pitaevskii方程的数值解及其动力学研究(英文) 被引量:6
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作者 花巍 刘学深 丁培柱 《计算物理》 EI CSCD 北大核心 2006年第4期483-488,共6页
采用辛-打靶法求解了简谐势阱中碱金属玻色-爱因斯坦凝聚原子在T=0时的基态波函数,检验了波函数的稳定性,并研究了当简谐势阱突然改变时波函数随时间演化的动力学.
关键词 gross-PITAEVSKII方程 基态解 动力学研究
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亚纯函数唯一性的Gross问题 被引量:2
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作者 宋国栋 李农 《数学年刊(A辑)》 CSCD 北大核心 1996年第2期189-194,共6页
F.Gross提出问题:能否找到两个(甚至一个)有穷集会Sj(j=1;2),使得满足Ef(Sj)=Eg(Sj)(j=1,2)的任何两个整函数f和g必定恒等,这里Ef(Sj)表示Sj关于f的逆像,计重数.仅供助[6]对于亚纯函f,和g对此问题作了肯定的回... F.Gross提出问题:能否找到两个(甚至一个)有穷集会Sj(j=1;2),使得满足Ef(Sj)=Eg(Sj)(j=1,2)的任何两个整函数f和g必定恒等,这里Ef(Sj)表示Sj关于f的逆像,计重数.仅供助[6]对于亚纯函f,和g对此问题作了肯定的回答.本文以(S)和(S)代替EF(S)和Eg(S),对这个问题作了进一步的讨论,这里(S)是与Ef(S)相同的点集,但不计重教. 展开更多
关键词 整函数 唯一性 半纯函数 gross问题
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具阻尼的Gross-Pitaevskii方程在二维空间中的坍塌性质 被引量:4
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作者 舒级 张健 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第1期16-18,共3页
讨论出现在吸引玻色-爱因斯坦凝聚中的一类阻尼Gross-Pitaevskii(GP)方程(在数学上又称为带调和势的阻尼非线性Schr dinger方程)itφ+Δφ-|x|2φ+|φ|2φ+iλφ=0,其中t 0,x∈R2,λ是阻尼参数.对照玻色-爱因斯坦凝聚的物理性质,参考R.T... 讨论出现在吸引玻色-爱因斯坦凝聚中的一类阻尼Gross-Pitaevskii(GP)方程(在数学上又称为带调和势的阻尼非线性Schr dinger方程)itφ+Δφ-|x|2φ+|φ|2φ+iλφ=0,其中t 0,x∈R2,λ是阻尼参数.对照玻色-爱因斯坦凝聚的物理性质,参考R.T.Glassey(J.Math.Phys.,1977,18:1794-1797.)的结果,运用能量方法,得到了一个较为简单的判别条件,当初值满足该条件时,初值问题的解将在有限时间内坍塌. 展开更多
关键词 玻色-爱因斯坦凝聚 Schro··dinger方程 调和势 阻尼 gross-Pitaevskii(GP)方程
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