Generalized commutation relations and nonlinear momenta theories: A close relationship

Héctor Calisto; Carlos Leiva

doi:10.1142/S021827180701050X

Generalized commutation relations and nonlinear momenta theories: A close relationship

Héctor Calisto
, Carlos Leiva

Department of Physics

Universidad de Tarapacá

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

12 Scopus citations

Abstract

A revision of generalized commutation relations is performed, besides a description of nonlinear momenta realization included in some DSR theories. It is shown that these propositions are closely related, specially we focus on Magueijo-Smolin momenta and Kempf et al. and Chang generalized commutators. Due to this, a new algebra arises with its own features that is also analyzed.

Original language	English
Pages (from-to)	927-940
Number of pages	14
Journal	International Journal of Modern Physics D
Volume	16
Issue number	5
DOIs	https://doi.org/10.1142/S021827180701050X
State	Published - May 2007

Keywords

DSR
Generalized commutation relations
Noncommutative

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10.1142/S021827180701050X

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title = "Generalized commutation relations and nonlinear momenta theories: A close relationship",

abstract = "A revision of generalized commutation relations is performed, besides a description of nonlinear momenta realization included in some DSR theories. It is shown that these propositions are closely related, specially we focus on Magueijo-Smolin momenta and Kempf et al. and Chang generalized commutators. Due to this, a new algebra arises with its own features that is also analyzed.",

keywords = "DSR, Generalized commutation relations, Noncommutative",

author = "H{\'e}ctor Calisto and Carlos Leiva",

year = "2007",

month = may,

doi = "10.1142/S021827180701050X",

language = "English",

volume = "16",

pages = "927--940",

journal = "International Journal of Modern Physics D",

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TY - JOUR

T1 - Generalized commutation relations and nonlinear momenta theories

T2 - A close relationship

AU - Calisto, Héctor

AU - Leiva, Carlos

PY - 2007/5

Y1 - 2007/5

N2 - A revision of generalized commutation relations is performed, besides a description of nonlinear momenta realization included in some DSR theories. It is shown that these propositions are closely related, specially we focus on Magueijo-Smolin momenta and Kempf et al. and Chang generalized commutators. Due to this, a new algebra arises with its own features that is also analyzed.

AB - A revision of generalized commutation relations is performed, besides a description of nonlinear momenta realization included in some DSR theories. It is shown that these propositions are closely related, specially we focus on Magueijo-Smolin momenta and Kempf et al. and Chang generalized commutators. Due to this, a new algebra arises with its own features that is also analyzed.

KW - DSR

KW - Generalized commutation relations

KW - Noncommutative

UR - https://www.scopus.com/pages/publications/34250359504

U2 - 10.1142/S021827180701050X

DO - 10.1142/S021827180701050X

M3 - Article

AN - SCOPUS:34250359504

SN - 0218-2718

VL - 16

SP - 927

EP - 940

JO - International Journal of Modern Physics D

JF - International Journal of Modern Physics D

IS - 5

ER -

Generalized commutation relations and nonlinear momenta theories: A close relationship

Abstract

Keywords

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