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Physical Sciences and Mathematics Commons

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University of Nebraska - Lincoln

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1991

John J. Stezowski Publications

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Reply To "Comment On 'Kinetic-Energy Density Functional For A Special Shape-Invariant Potential Of A One-Dimensional Two-Level System'", Jiushu Shao, John J. Stezowski Sep 1991

Reply To "Comment On 'Kinetic-Energy Density Functional For A Special Shape-Invariant Potential Of A One-Dimensional Two-Level System'", Jiushu Shao, John J. Stezowski

John J. Stezowski Publications

For a harmonic potential, which is the special shape-invariant potential discussed in our paper [1], the relation between the ground state and the first-excited-state wave functions [Eq. (2)] should be . . .

Therefore, we have shown that one cannot find a closed form of the kinetic-energy density for the harmonic oscillator.