Remarks on geometric quantum mechanics

Alberto Benvegnù; Nicola Sansonetto; Mauro Spera

doi:10.1016/j.geomphys.2003.10.008

Remarks on geometric quantum mechanics

Alberto Benvegnù, Nicola Sansonetto, Mauro Spera

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

17 Citazioni (Scopus)

Abstract

Pursuing the aims of geometric quantum mechanics, it is shown in a geometrical fashion that, at least in finite dimensions, Schroedinger dynamics enjoys classical complete integrability, and several consequences therefrom are deduced, including a Hannay-type reinterpretation of Berry's phase and a geometric description of some aspects of the quantum measurement problem.

Lingua originale	English
pagine (da-a)	229-243
Numero di pagine	15
Rivista	Journal of Geometry and Physics
Volume	51
DOI	https://doi.org/10.1016/j.geomphys.2003.10.008
Stato di pubblicazione	Pubblicato - 2004

Keywords

geometric quantum mechanics, complete integrability, Berry phase

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10.1016/j.geomphys.2003.10.008

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title = "Remarks on geometric quantum mechanics",

abstract = "Pursuing the aims of geometric quantum mechanics, it is shown in a geometrical fashion that, at least in finite dimensions, Schroedinger dynamics enjoys classical complete integrability, and several consequences therefrom are deduced, including a Hannay-type reinterpretation of Berry's phase and a geometric description of some aspects of the quantum measurement problem.",

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author = "Alberto Benvegn{\`u} and Nicola Sansonetto and Mauro Spera",

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language = "English",

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T1 - Remarks on geometric quantum mechanics

AU - Benvegnù, Alberto

AU - Sansonetto, Nicola

AU - Spera, Mauro

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AB - Pursuing the aims of geometric quantum mechanics, it is shown in a geometrical fashion that, at least in finite dimensions, Schroedinger dynamics enjoys classical complete integrability, and several consequences therefrom are deduced, including a Hannay-type reinterpretation of Berry's phase and a geometric description of some aspects of the quantum measurement problem.

KW - geometric quantum mechanics, complete integrability, Berry phase

UR - http://hdl.handle.net/10807/35682

U2 - 10.1016/j.geomphys.2003.10.008

DO - 10.1016/j.geomphys.2003.10.008

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SP - 229

EP - 243

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

ER -

Remarks on geometric quantum mechanics

Abstract

Keywords

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