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The Rigged Hilbert Space of the Free Hamiltonian

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Abstract

We explicitly construct the Rigged Hilbert Space (RHS) of the free Hamiltonian H 0. The construction of the RHS of H 0 provides yet another opportunity to see that when continuous spectrum is present, the solutions of the Schrödinger equation lie in a RHS rather than just in a Hilbert space.

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Authors and Affiliations

  1. Institute for Scientific Interchange (ISI), Villa Gualino Viale Settimio Severo 65, I-10133, Torino, Italy

    Rafael de la Madrid

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  1. Rafael de la Madrid
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de la Madrid, R. The Rigged Hilbert Space of the Free Hamiltonian. International Journal of Theoretical Physics 42, 2441–2460 (2003). https://doi.org/10.1023/B:IJTP.0000005968.76452.6b

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  • DOI: https://doi.org/10.1023/B:IJTP.0000005968.76452.6b

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