 06188 R. de la Madrid
 On the inconsistency of the BohmGadella theory with quantum mechanics
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Jun 22, 06

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Abstract. The BohmGadella 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 LippmannSchwinger equation are functionals over spaces of Hardy functions. The preparationregistration 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 LippmannSchwinger equation do not act on spaces of Hardy functions. It is also shown that the derivation of the preparationregistration arrow of time is flawed. Thus, Hardy functions neither appear when we solve the LippmannSchwinger equation nor they should appear. It is also shown that the BohmGadella 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
BohmGadella theory must therefore be abandoned.
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