关于Bohm-Gadella理论与量子力学的不一致性
On the inconsistency of the Bohm-Gadella theory with quantum mechanics
摘要：
Bohm-Gadella理论，有时被称为散射和衰变的时间非对称量子理论，是基于哈代公理。哈代公理断言李普曼-施温格方程的解是哈代函数空间上的泛函。时间的平行-重合箭头为哈代公理提供了物理证明。本文证明了Hardy公理是不正确的，因为Lippmann-Schwinger方程的解不作用于Hardy函数空间。它还表明，推导的澄清登记箭头的时间是有缺陷的。因此，Hardy函数在我们求解Lippmann-Schwinger方程时既不出现，也不应该出现。它还表明，玻姆-加代拉理论不依赖于相同的物理原理作为量子力学，它不解决任何问题，量子力学不能解决。因此，必须放弃玻姆-加代拉理论。
英文摘要：
The Bohm-Gadella theory, sometimes referred to as the Time Asymmetric Quantum Theory of Scattering and Decay, is based on the Hardy axiom. The Hardy axiom asserts that the solutions of the Lippmann-Schwinger equation are functionals over spaces of Hardy functions. The preparation-registration arrow of time provides the physical justification for the Hardy axiom. In this paper, it is shown that the Hardy axiom is incorrect, because the solutions of the Lippmann-Schwinger equation do not act on spaces of Hardy functions. It is also shown that the derivation of the preparation-registration arrow of time is flawed. Thus, Hardy functions neither appear when we solve the Lippmann-Schwinger equation nor they should appear. It is also shown that the Bohm-Gadella theory does not rest on the same physical principles as quantum mechanics, and that it does not solve any problem that quantum mechanics cannot solve. The Bohm-Gadella theory must therefore be abandoned.
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