在盒子里征收航班费
Levy flights in a box
摘要：
它表明，一个量子Lévy过程在一个盒子导致一个问题，涉及空间中的拓扑约束，并建议在路径积分形式主义的框架内与Lévy测度的治疗。定义并求解了无限深势阱的本征值问题。在路径积分表示下得到了演化算符的解析表达式，并且路径积分取了具有拓扑约束的局域量子力学的正确极限.在绝热近似下还考虑了振动壁中的Lévy过程的一个例子。
英文摘要：
It is shown that a quantum Lévy process in a box leads to a problem involving topological constraints in space, and its treatment in the framework of the path integral formalism with the Lévy measure is suggested. The eigenvalue problem for the infinite potential well is properly defined and solved. An analytical expression for the evolution operator is obtained in the path integral presentation, and the path integral takes the correct limit of the local quantum mechanics with topological constraints. An example of the Lévy process in oscillating walls is also considered in the adiabatic approximation.
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