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arXiv 0706.4075quant-phgr-qchep-th
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Klein-Gordon方程的新解释

A novel interpretation of the Klein-Gordon equation

K. B. Wharton

备注：
v3: Extensively revised version accepted for publication by Found. Phys
发表信息：
AIP Conf.Proc.962:339-343,2007; Found.Phys.40:313-332,2010
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摘要：

协变克莱因-戈登方程需要两倍于薛定谔方程的边界条件，并且没有公认的单粒子解释。本文没有将其解解释为由初始边界条件确定的概率波，而是考虑了解由初始和最终边界条件确定的可能性。通过构造一个不变的联合概率分布的解空间的大小，它表明，通常的测量概率几乎可以恢复在非相对论性的限制，只要没有边界约束的能量到hbar/T（其中T是边界条件之间的持续时间）附近的精度。否则，偏离标准量子力学的预测。

英文摘要：

The covariant Klein-Gordon equation requires twice the boundary conditions of the Schrodinger equation and does not have an accepted single-particle interpretation. Instead of interpreting its solution as a probability wave determined by an initial boundary condition, this paper considers the possibility that the solutions are determined by both an initial and a final boundary condition. By constructing an invariant joint probability distribution from the size of the solution space, it is shown that the usual measurement probabilities can nearly be recovered in the non-relativistic limit, provided that neither boundary constrains the energy to a precision near hbar/T (where T is the time duration between the boundary conditions). Otherwise, deviations from standard quantum mechanics are predicted.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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