阻尼谐振子的严格波函数

对与速度成正比的阻尼谐振子，通过正则变换，采用路径积分方法，得出了阻尼谐振子的严格波函数，还讨论了阻尼谐振子的坐标、动量的零点涨落. 关键词：     

求解(H^)=5/3(a^)+(a^)+2/3((a^)2+(a^)+2)量子系统能谱新方法

通过对形如(H^)=5/3(a^)+(a^)+2/3((a^)2+(a^)+2)哈密顿量的分析、还原和改造,给出求解该量子系统量子化能谱的两种新方法.     

质量和频率均含时的耦合谐振子的严格波函数

通过坐标和动量变换,在去掉系统哈密顿量耦合项的基础上,采用试探函数方法求得了质量和频率均随时间变化且具有耦合的两谐振子的严格波函数. 关键词： 耦合谐振子 去耦合 坐标与动量变换 试探函数     

用不变量方法求含时谐振子的波函数

利用辅助方程从含量谐振子的哈密量出发得到了两个不变量，利用这两个不变量求得了系统薛定谔方程的解。     

Temperature-controllable spin-polarized current and spin polarization in a Rashba three-terminal double-quantum-dot device

We propose a Rashba three-terminal double-quantum-dot device to generate a spin-polarized current and manipulate the electron spin in each quantum dot by utilizing the temperature gradient instead of the electric bias voltage. This device possesses a nonresonant tunneling channel and two resonant tunneling channels. The Keldysh nonequilibrium Green's function techniques are employed to determinate the spin-polarized current flowing from the electrodes and the spin accumulation in each quantum dot. We find that their signs and magnitudes are well controllable by the gate voltage or the temperature gradient. This result is attributed to the change in the slope of the transmission probability at the Fermi levels in the low-temperature region. Importantly, an obviously pure spin current can be injected into or extracted from one of the three electrodes by properly choosing the temperature gradient and the gate voltages. Therefore, the device can be used as an ideal thermal generator to produce a pure spin current and manipulate the electron spin in the quantum dot.     

Thermal Vibration and Twist Induced Semiconducting Behaviour in Short DNA Wires

We study the transport properties of electrons in a short homogeneous DNA molecule where thermal vibrations and twist fluctuations of the base molecules are considered. The nonlinear current-voltage curves can be derived by using the equivalent single-particle multichannel network. The voltage gap is sensitive to the strength of thermal vibrations and twist fluctuations of the base molecules. Our results are in good agreement with the recent finding of semiconducting behaviour in short poly（G）-poly（C） DNA oligomers. The present method can also be used to calculate the other molecular wires.     

空间对称性与电磁角动量守恒

阐明空间对称性与守恒律，并结合电磁场中带电粒子的拉氏函数，巧妙简捷地处理了一个电磁系统的角动量守恒。     

含时二维双耦合各向异性谐振子的严格波函数

坐标与动量通过一个特殊的转动变换,成功完成哈密顿量的退耦合,进而采用尝试函数求得了质量和频率均不相等且均含时的双耦合二维谐振子的严格波函数.波函数的正确性在其普遍性讨论中得到印证.     

三维各向异性耦合谐振子体系的量子化能谱与精确波函数

利用二次型理论,通过三次保对易的辛变换,成功解决了三维各向异性耦合谐振子哈密顿量的对角化问题.进一步,给出了体系的量子化能谱和精确波函数.     

二粒子纠缠态(EPR对)的量子隐形传送

采用三粒子最大纠缠态作辅助量子信道,定义出能被Alice作联合测量的四个特殊的"GHZ"态,Bob实施简单操作,两粒子纠缠态(EPR对)的量子隐形传递顺利达成.