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Quantum Simulation

Step Momentum Operator

arXiv

Authors: M. Izadparast, S. Habib Mazharimousavi

Year

2020

Paper ID

18621

Status

Preprint

Abstract Read

~2 min

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Abstract

In the present study, the concept of a quantum particle with step momentum is introduced. The energy eigenvalues and eigenfunctions of such particles are obtained in the context of the generalized momentum operator, proposed recently in [13, 14]. While, the number of bound states with real energy for the particles with Hermitian step momentum inside a square well is infinite, it is finite for a particle with \mathcal{PT} -symmetric momentum.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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In the present study, the concept of a quantum particle with step momentum is introduced.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.04497 [2] arXiv https://arxiv.org/abs/2012.04497 [3] Publisher https://arxiv.org/abs/2012.04497

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