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Quantum Simulation
Airy eigenstates and their relation to coordinate eigenstates
arXiv
Authors: Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, Héctor M. Moya-Cessa
Year
2020
Paper ID
385
Status
Preprint
Abstract Read
~2 min
Abstract Words
69
Citations
N/A
Abstract
We study the eigenvalue problem for a linear potential Hamiltonian and, by writing Airy equation in terms of momentum and position operators define Airy states. We give a solution of the Schrödinger equation for the symmetrical linear potential in terms of the squeeze and displacement operators. Finally, we write the unit operator in terms of Airy states and find a relation between them and position and momentum eigenstates.
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- We study the eigenvalue problem for a linear potential Hamiltonian and, by writing Airy equation in terms of momentum and position operators define Airy states.
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