Hamilton原理在非经典场的推广
Extending Hamilton's principle to quantize classical fields
摘要：
汉密尔顿原理并不正式适用于边界条件位于位形空间之外的系统，但可以使用某些允许动作极值化的“自然”边界条件进行扩展。由于只有这样的作用量极值边界才能在物理上实现，经典相对论性标量场在测量时会受到某些量子化条件的约束。这些条件似乎是类似于玻尔-索末菲量子化，并推导出明确的情况下的角动量测量的经典标量场。
英文摘要：
Hamilton's principle does not formally apply to systems whose boundary conditions lie outside configuration space, but extensions are possible using certain "natural" boundary conditions that allow action extremization. With the single conjecture that only such action-extremizing boundaries can be physically realized, the classical relativistic scalar field becomes subject to certain quantization conditions upon measurement. These conditions appear to be analogous to Bohr-Sommerfeld quantization, and are derived explicitly for the case of angular momentum measurements of a classical scalar field.
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