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The generalized geometric uncertainty principle for spin 1/2 system

Geometric Quantum Mechanics is a version of quantum theory that has been formulated in terms of Hamiltonian phase-space dynamics. The states in this framework belong to points in complex projective Hilbert space, the observables are real valued functions on the space, and the Hamiltonian flow is de...

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Main Authors: Umai, H., Zainuddin, H., Chan, K. T., Said Husain, Sh. K.
Format: Article
Published: Union of researchers of Macedonia 2021
Online Access:http://psasir.upm.edu.my/id/eprint/95446/
https://www.sciencegate.app/document/10.37418/amsj.10.9.14
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spelling my.upm.eprints.954462023-04-12T01:35:12Z http://psasir.upm.edu.my/id/eprint/95446/ The generalized geometric uncertainty principle for spin 1/2 system Umai, H. Zainuddin, H. Chan, K. T. Said Husain, Sh. K. Geometric Quantum Mechanics is a version of quantum theory that has been formulated in terms of Hamiltonian phase-space dynamics. The states in this framework belong to points in complex projective Hilbert space, the observables are real valued functions on the space, and the Hamiltonian flow is described by the Schrödinger equation. Besides, one has demonstrated that the stronger version of the uncertainty relation, namely the Robertson-Schrödinger uncertainty relation, may be stated using symplectic form and Riemannian metric. In this research, the generalized Robertson-Schrödinger uncertainty principle for spin ½ system has been constructed by considering the operators corresponding to arbitrary direction. Union of researchers of Macedonia 2021-09-30 Article PeerReviewed Umai, H. and Zainuddin, H. and Chan, K. T. and Said Husain, Sh. K. (2021) The generalized geometric uncertainty principle for spin 1/2 system. Advances in Mathematics: Scientific Journal, 10 (9). 3253 - 3262. ISSN 1857-8365; ESSN: 1857-8438 https://www.sciencegate.app/document/10.37418/amsj.10.9.14 10.37418/amsj.10.9.14
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description Geometric Quantum Mechanics is a version of quantum theory that has been formulated in terms of Hamiltonian phase-space dynamics. The states in this framework belong to points in complex projective Hilbert space, the observables are real valued functions on the space, and the Hamiltonian flow is described by the Schrödinger equation. Besides, one has demonstrated that the stronger version of the uncertainty relation, namely the Robertson-Schrödinger uncertainty relation, may be stated using symplectic form and Riemannian metric. In this research, the generalized Robertson-Schrödinger uncertainty principle for spin ½ system has been constructed by considering the operators corresponding to arbitrary direction.
format Article
author Umai, H.
Zainuddin, H.
Chan, K. T.
Said Husain, Sh. K.
spellingShingle Umai, H.
Zainuddin, H.
Chan, K. T.
Said Husain, Sh. K.
The generalized geometric uncertainty principle for spin 1/2 system
author_facet Umai, H.
Zainuddin, H.
Chan, K. T.
Said Husain, Sh. K.
author_sort Umai, H.
title The generalized geometric uncertainty principle for spin 1/2 system
title_short The generalized geometric uncertainty principle for spin 1/2 system
title_full The generalized geometric uncertainty principle for spin 1/2 system
title_fullStr The generalized geometric uncertainty principle for spin 1/2 system
title_full_unstemmed The generalized geometric uncertainty principle for spin 1/2 system
title_sort generalized geometric uncertainty principle for spin 1/2 system
publisher Union of researchers of Macedonia
publishDate 2021
url http://psasir.upm.edu.my/id/eprint/95446/
https://www.sciencegate.app/document/10.37418/amsj.10.9.14
_version_ 1762963288571772928
score 13.244368

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