Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians
We present a method for calculating the Aharonov-Anandan phase for time-independent Hamiltonians that avoids the calculation of evolution operators. We compare the generic method used to calculate the Aharonov-Anandan phase with the method proposed here through four examples; a spin-1/2 particle in...
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| Format: | Journal article |
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2008
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| _version_ | 1797091583698403328 |
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| author | Giscard, P |
| author_facet | Giscard, P |
| author_sort | Giscard, P |
| collection | OXFORD |
| description | We present a method for calculating the Aharonov-Anandan phase for time-independent Hamiltonians that avoids the calculation of evolution operators. We compare the generic method used to calculate the Aharonov-Anandan phase with the method proposed here through four examples; a spin-1/2 particle in a constant magnetic field, an arbitrary infinite-sized Hamiltonian with two known eigenvalues, a Fabry-Perot cavity with one movable mirror and a three mirrors cavity with a slightly transmissive movable middle mirror. |
| first_indexed | 2024-03-07T03:35:06Z |
| format | Journal article |
| id | oxford-uuid:bc055bb1-1f1f-4663-804b-3e9d45fc7d79 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:35:06Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:bc055bb1-1f1f-4663-804b-3e9d45fc7d792022-03-27T05:21:18ZConsiderations about the Aharonov-Anandan Phase for Time Independent HamiltoniansJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bc055bb1-1f1f-4663-804b-3e9d45fc7d79Symplectic Elements at Oxford2008Giscard, PWe present a method for calculating the Aharonov-Anandan phase for time-independent Hamiltonians that avoids the calculation of evolution operators. We compare the generic method used to calculate the Aharonov-Anandan phase with the method proposed here through four examples; a spin-1/2 particle in a constant magnetic field, an arbitrary infinite-sized Hamiltonian with two known eigenvalues, a Fabry-Perot cavity with one movable mirror and a three mirrors cavity with a slightly transmissive movable middle mirror. |
| spellingShingle | Giscard, P Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians |
| title | Considerations about the Aharonov-Anandan Phase for Time Independent
Hamiltonians |
| title_full | Considerations about the Aharonov-Anandan Phase for Time Independent
Hamiltonians |
| title_fullStr | Considerations about the Aharonov-Anandan Phase for Time Independent
Hamiltonians |
| title_full_unstemmed | Considerations about the Aharonov-Anandan Phase for Time Independent
Hamiltonians |
| title_short | Considerations about the Aharonov-Anandan Phase for Time Independent
Hamiltonians |
| title_sort | considerations about the aharonov anandan phase for time independent hamiltonians |
| work_keys_str_mv | AT giscardp considerationsabouttheaharonovanandanphasefortimeindependenthamiltonians |