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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| Format: | Article |
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Union of researchers of Macedonia
2021
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| Online Access: | http://psasir.upm.edu.my/id/eprint/95446/ |
| _version_ | 1848862162228871168 |
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| author | Umai, H. Zainuddin, H. Chan, K. T. Said Husain, Sh. K. |
| author_facet | Umai, H. Zainuddin, H. Chan, K. T. Said Husain, Sh. K. |
| author_sort | Umai, H. |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T13:12:38Z |
| format | Article |
| id | upm-95446 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:12:38Z |
| publishDate | 2021 |
| publisher | Union of researchers of Macedonia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Umai, H. Zainuddin, H. Chan, K. T. Said Husain, Sh. K. The generalized geometric uncertainty principle for spin 1/2 system |
| title | 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_short | The generalized geometric uncertainty principle for spin 1/2 system |
| title_sort | generalized geometric uncertainty principle for spin 1/2 system |
| url | http://psasir.upm.edu.my/id/eprint/95446/ http://psasir.upm.edu.my/id/eprint/95446/ http://psasir.upm.edu.my/id/eprint/95446/ |