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

Abstract

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.

arXiv comment13 pages

References in corpus (8)

• The role of the rigged Hilbert space in Quantum Mechanics
• Rigged Hilbert Space Treatment of Continuous Spectrum
• Rigged Hilbert Space Approach to the Schrodinger Equation
• The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential
• The Rigged Hilbert Space of the Free Hamiltonian
• The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part I
• The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part II: The analytic continuation of the Lippmann-Schwinger bras and kets
• On the inconsistency of the Bohm-Gadella theory with quantum mechanics