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- W2069583151 abstract "The system of a one-dimensional harmonic oscillator is discussed with the generalized commutation relations obtained by Wigner. The Hamiltonian is shown to have self-adjoint extensions. The domain of self-adjointness is explicitly specified in some cases. The proof is carried out by the use of the Lax–Milgram lemma. A suitable rigged Hilbert space is found for this system to reformulate the earlier arguments. The main difficulty is that the momentum and Hamiltonian operators contain the reflection Rψ(x)=ψ(−x) as well as singular terms." @default.
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- W2069583151 date "1989-02-01" @default.
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- W2069583151 title "A harmonic oscillator system with the generalized commutation relations" @default.
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- W2069583151 doi "https://doi.org/10.1063/1.528455" @default.
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