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- W2090779849 abstract "In this paper, we consider solutions to the three-dimensional Schrodinger equation of the form ψ(r) = u(r)/r, where u(0) ≠ 0. The expectation value of the kinetic energy operator for such wavefunctions diverges. We show that it is possible to introduce a potential energy with an expectation value that also diverges, exactly cancelling the kinetic energy divergence. This renormalization procedure produces a self-adjoint Hamiltonian. We solve some problems with this new Hamiltonian to illustrate its usefulness." @default.
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- W2090779849 date "2009-07-13" @default.
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- W2090779849 title "Renormalizing the kinetic energy operator in elementary quantum mechanics" @default.
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- W2090779849 doi "https://doi.org/10.1088/0143-0807/30/5/010" @default.
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