Expectation value of $p^6$ in continuous two-piece symmetric potential wells
Quantum Physics
2019-05-08 v1 Other Condensed Matter
Abstract
Earlier, potentials like square well and several other half-potential wells with discontinuous jump have been found to have the expectation value 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 diverges for even states and converges for odd states. Here, denotes momentum. We also present three exactly solvable models.
Keywords
Cite
@article{arxiv.1905.02582,
title = {Expectation value of $p^6$ in continuous two-piece symmetric potential wells},
author = {Zafar Ahmed and Sachin Kumar},
journal= {arXiv preprint arXiv:1905.02582},
year = {2019}
}
Comments
9 pages 4 figures and no tables. arXiv admin note: text overlap with arXiv:1803.01597