Reply to ``Comment on `On the inconsistency of the Bohm-Gadella theory with quantum mechanics'''

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2007-04-12

arxiv.org/abs/0704.1613v1

J.Phys.A40:4671-4681,2007

Physics

Quantum Physics

13 pages

Scientific paper

10.1088/1751-8113/40/17/N02

In this reply, we show that when we apply standard distribution theory to the Lippmann-Schwinger equation, the resulting spaces of test functions would comply with the Hardy axiom only if classic results of Paley and Wiener, of Gelfand and Shilov, and of the theory of ultradistributions were wrong. As well, we point out several differences between the ``standard method'' of constructing rigged Hilbert spaces in quantum mechanics and the method used in Time Asymmetric Quantum Theory.

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