On the noncommutative Eikonal

J. M. Isidro; P. Fernández De CÓrdoba; J. M. Riverarebolledo; J. L.G. Santander

doi:10.1142/S0219887811005294

On the noncommutative Eikonal

J. M. Isidro, P. Fernández De CÓrdoba, J. M. Riverarebolledo, J. L.G. Santander

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

4 Scopus citations

Abstract

We study the Eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions depending on noncommuting, operator-valued coordinates.

Original language	English
Pages (from-to)	621-638
Number of pages	18
Journal	International Journal of Geometric Methods in Modern Physics
Volume	8
Issue number	3
DOIs	https://doi.org/10.1142/S0219887811005294
State	Published - May 2011
Externally published	Yes

Keywords

Eikonal approximation
Moyal space
Quantum mechanics

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10.1142/S0219887811005294

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title = "On the noncommutative Eikonal",

abstract = "We study the Eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions depending on noncommuting, operator-valued coordinates.",

keywords = "Eikonal approximation, Moyal space, Quantum mechanics",

author = "Isidro, {J. M.} and {De C{\'O}rdoba}, {P. Fern{\'a}ndez} and Riverarebolledo, {J. M.} and Santander, {J. L.G.}",

note = "Funding Information: J. M. I. thanks Max–Planck–Institut f{\"u}r Gravitationsphysik, Albert–Einstein– Institut (Golm, Germany), for hospitality. This work has been supported by Universidad Polit{\'e}cnica de Valencia under grant PAID-06-09, and by Generalitat Valenciana (Spain).",

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month = may,

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AU - Isidro, J. M.

AU - De CÓrdoba, P. Fernández

AU - Riverarebolledo, J. M.

AU - Santander, J. L.G.

N1 - Funding Information: J. M. I. thanks Max–Planck–Institut für Gravitationsphysik, Albert–Einstein– Institut (Golm, Germany), for hospitality. This work has been supported by Universidad Politécnica de Valencia under grant PAID-06-09, and by Generalitat Valenciana (Spain).

PY - 2011/5

Y1 - 2011/5

N2 - We study the Eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions depending on noncommuting, operator-valued coordinates.

AB - We study the Eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions depending on noncommuting, operator-valued coordinates.

KW - Eikonal approximation

KW - Moyal space

KW - Quantum mechanics

UR - http://www.scopus.com/inward/record.url?scp=79959465649&partnerID=8YFLogxK

U2 - 10.1142/S0219887811005294

DO - 10.1142/S0219887811005294

M3 - Artículo

SN - 0219-8878

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EP - 638

JO - International Journal of Geometric Methods in Modern Physics

JF - International Journal of Geometric Methods in Modern Physics

IS - 3

ER -

On the noncommutative Eikonal

Abstract

Keywords

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