量子荷电刚性膜
Quantum charged rigid membrane
摘要：
回顾了狄拉克早期提出的将电子模拟为带电膜的设想。一个刚性项，而不是自然的膜张力，涉及线性的外在曲率的worldvolume扫出的膜被认为是在行动建模的泡沫中存在的电磁场。我们建立了这个模型作为一个真正的二阶导数理论，通过考虑一个非平凡的边界项，它在我们的制定发挥了相关的作用。拉格朗日的问题是线性的气泡加速和通过Ostrogradski-哈密顿方法，我们观察到，该理论包括管理的第一类和第二类约束。因此，我们表明，我们的二阶方法是强大的，允许适当的量化。我们发现了一个有效的量子势，它允许计算系统的有界态。我们评论的可能性描述膜世界宇宙调用这种二阶校正项。
英文摘要：
The early Dirac proposal to model the electron as a charged membrane is reviewed. A rigidity term, instead of the natural membrane tension, involving linearly the extrinsic curvature of the worldvolume swept out by the membrane is considered in the action modeling the bubble in the presence of an electromagnetic field. We set up this model as a genuine second-order derivative theory by considering a non-trivial boundary term which plays a relevant part in our formulation. The Lagrangian in question is linear in the bubble acceleration and by means of the Ostrogradski-Hamiltonian approach we observed that the theory comprises the management of both first- and second-class constraints. We show thus that our second-order approach is robust allowing for a proper quantization. We found an effective quantum potential which permits to compute bounded states for the system. We comment on the possibility of describing brane world universes by invoking this kind of second-order correction terms.
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