The Rigged Hilbert Space of the Free Hamiltonian
classification
🪐 quant-ph
hep-thmath-phmath.MP
keywords
hilbertspacefreehamiltonianriggedanotherconstructconstruction
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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 Schrodinger equation lie in a RHS rather than just in a Hilbert space.
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