Remarks on geometric quantum mechanics

Mauro Spera; Alberto Benvegnù; Nicola Sansonetto

doi:10.1016/j.geomphys.2003.10.008

Remarks on geometric quantum mechanics

Mauro Spera, Alberto Benvegnù, Nicola Sansonetto

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

17 Citations (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.

Original language	English
Pages (from-to)	229-243
Number of pages	15
Journal	Journal of Geometry and Physics
Volume	51
DOIs	https://doi.org/10.1016/j.geomphys.2003.10.008
Publication status	Published - 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 = "Mauro Spera and Alberto Benvegn{\`u} and Nicola Sansonetto",

year = "2004",

doi = "10.1016/j.geomphys.2003.10.008",

language = "English",

volume = "51",

pages = "229--243",

journal = "Journal of Geometry and Physics",

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publisher = "Elsevier BV:PO Box 211, 1000 AE Amsterdam Netherlands:011 31 20 4853757, 011 31 20 4853642, 011 31 20 4853641, EMAIL: nlinfo-f@elsevier.nl, INTERNET: http://www.elsevier.nl, Fax: 011 31 20 4853598",

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TY - JOUR

T1 - Remarks on geometric quantum mechanics

AU - Spera, Mauro

AU - Benvegnù, Alberto

AU - Sansonetto, Nicola

PY - 2004

Y1 - 2004

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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

M3 - Article

VL - 51

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

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Keywords

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