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arxiv: quant-ph/0407195 · v1 · submitted 2004-07-23 · 🪐 quant-ph · hep-th· math-ph· math.MP

The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential

classification 🪐 quant-ph hep-thmath-phmath.MP
keywords hilbertone-dimensionalpotentialrectangularriggedspacealgebrabarrier
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The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential is constructed. The one-dimensional rectangular potential provides another opportunity to show that the rigged Hilbert space fully accounts for Dirac's bra-ket formalism. The analogy between Dirac's formalism and Fourier methods is pointed out.

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