Expectation value of $p^6$ in continuous two-piece symmetric potential wells

Zafar Ahmed; Sachin Kumar

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arXiv · 1905.02582

Expectation value of $p^6$ in continuous two-piece symmetric potential wells

Zafar Ahmed·Sachin Kumar

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Abstract

Earlier, potentials like square well and several other half-potential wells with discontinuous jump have been found to have the expectation value $<\! p^6 \!>$ to be divergent for all bound states. Here, we consider two-piece symmetric potential wells to prove and demonstrate that in them the expectation value of $p^6$ diverges for even states and converges for odd states. Here, $p$ denotes momentum. We also present three exactly solvable models.

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Zafar Ahmed, Sachin Kumar. 2019-05-06. Expectation value of $p^6$ in continuous two-piece symmetric potential wells. https://arxiv.org/abs/1905.02582

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