Airy eigenstates and their relation to coordinate eigenstates

Jorge A. Anaya-Contreras; Arturo Zúñiga-Segundo; Héctor M. Moya-Cessa

doi:10.1016/j.rinp.2021.104904

Airy eigenstates and their relation to coordinate eigenstates

Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, Héctor M. Moya-Cessa

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study the eigenvalue problem for a linear potential Hamiltonian and, by writing the Airy equation in terms of momentum and position operators define Airy states. By using the unit operator in terms of Airy states we find a relation between them and position eigenstates.

Original language	English
Article number	104904
Journal	Results in Physics
Volume	31
DOIs	https://doi.org/10.1016/j.rinp.2021.104904
State	Published - Dec 2021

Keywords

Airy states
Position and momentum eigenstates

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10.1016/j.rinp.2021.104904

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title = "Airy eigenstates and their relation to coordinate eigenstates",

abstract = "We study the eigenvalue problem for a linear potential Hamiltonian and, by writing the Airy equation in terms of momentum and position operators define Airy states. By using the unit operator in terms of Airy states we find a relation between them and position eigenstates.",

keywords = "Airy states, Position and momentum eigenstates",

author = "Anaya-Contreras, {Jorge A.} and Arturo Z{\'u}{\~n}iga-Segundo and Moya-Cessa, {H{\'e}ctor M.}",

note = "Publisher Copyright: {\textcopyright} 2021",

year = "2021",

month = dec,

doi = "10.1016/j.rinp.2021.104904",

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T1 - Airy eigenstates and their relation to coordinate eigenstates

AU - Anaya-Contreras, Jorge A.

AU - Zúñiga-Segundo, Arturo

AU - Moya-Cessa, Héctor M.

PY - 2021/12

Y1 - 2021/12

N2 - We study the eigenvalue problem for a linear potential Hamiltonian and, by writing the Airy equation in terms of momentum and position operators define Airy states. By using the unit operator in terms of Airy states we find a relation between them and position eigenstates.

AB - We study the eigenvalue problem for a linear potential Hamiltonian and, by writing the Airy equation in terms of momentum and position operators define Airy states. By using the unit operator in terms of Airy states we find a relation between them and position eigenstates.

KW - Airy states

KW - Position and momentum eigenstates

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U2 - 10.1016/j.rinp.2021.104904

DO - 10.1016/j.rinp.2021.104904

M3 - Artículo

AN - SCOPUS:85117374700

SN - 2211-3797

VL - 31

JO - Results in Physics

JF - Results in Physics

M1 - 104904

ER -

Airy eigenstates and their relation to coordinate eigenstates

Abstract

Keywords

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