论文标题
量子kapitza摆的振荡状态
Oscillatory states of quantum Kapitza pendulum
论文作者
论文摘要
我们研究了Schrödinger方程与Kapitza摆势所描述的量子力学问题，即圆圈上的不对称双孔电位。对于在电势的两个稳定的马鞍位置周围空间定位的振荡状态，我们获得了扰动的特征值和相应的分段波形。通过将角坐标扩展到复杂平面来计算频谱，以便将量化条件沿着沿虚构方向延伸的路径进行配制。计算井之间的量子隧道。
We study quantum mechanics problem described by the Schrödinger equation with Kapitza pendulum potential, that is the asymmetric double-well potential on the circle. For the oscillatory states spatially localize around the two stable saddle positions of the potential, we obtain the perturbative eigenvalues and corresponding piecewise wavefunctions. The spectrum is computed by extending the angle coordinate to the complex plane so that the quantization condition is formulated as contour integral along a path extending in the imaginary direction. Quantum tunneling between the wells is computed.
