Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement
In this parer, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The over-completeness property of the para-Grassmannian pseudo-Hermitian coherent stat...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2011-08-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.084 |
| _version_ | 1818211621998166016 |
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| author | Yusef Maleki |
| author_facet | Yusef Maleki |
| author_sort | Yusef Maleki |
| collection | DOAJ |
| description | In this parer, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The over-completeness property of the para-Grassmannian pseudo-Hermitian coherent states (PGPHCSs) examined, and also the stability of coherent and squeezed states discussed. The pseudo-Hermitian supercoherent states as the product of a pseudo-Hermitian bosonic coherent state and a para-Grassmannian pseudo-Hermitian coherent state introduced, and the method also developed to define pseudo-Hermitian supersqueezed states. It is also argued that, for q-oscillator algebra of k+1 degree of nilpotency based on the changed ladder operators, defined in here, we can obtain deformed SU_{q^2}(2) and SU_{q^{2k}}(2) and also SU_{q^{2k}}(1,1). Moreover, the entanglement of multi-level para-Grassmannian pseudo-Hermitian coherent state will be considered. This is done by choosing an appropriate weight function, and integrating over tensor product of PGPHCSs. |
| first_indexed | 2024-12-12T05:35:25Z |
| format | Article |
| id | doaj.art-e1f5018b69904f0aae3502da239e2015 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-12T05:35:25Z |
| publishDate | 2011-08-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-e1f5018b69904f0aae3502da239e20152022-12-22T00:36:10ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-08-017084Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their EntanglementYusef MalekiIn this parer, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The over-completeness property of the para-Grassmannian pseudo-Hermitian coherent states (PGPHCSs) examined, and also the stability of coherent and squeezed states discussed. The pseudo-Hermitian supercoherent states as the product of a pseudo-Hermitian bosonic coherent state and a para-Grassmannian pseudo-Hermitian coherent state introduced, and the method also developed to define pseudo-Hermitian supersqueezed states. It is also argued that, for q-oscillator algebra of k+1 degree of nilpotency based on the changed ladder operators, defined in here, we can obtain deformed SU_{q^2}(2) and SU_{q^{2k}}(2) and also SU_{q^{2k}}(1,1). Moreover, the entanglement of multi-level para-Grassmannian pseudo-Hermitian coherent state will be considered. This is done by choosing an appropriate weight function, and integrating over tensor product of PGPHCSs.http://dx.doi.org/10.3842/SIGMA.2011.084para-Grassmann variablescoherent statesqueezed statepseudo-Hermiticityentanglement |
| spellingShingle | Yusef Maleki Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement Symmetry, Integrability and Geometry: Methods and Applications para-Grassmann variables coherent state squeezed state pseudo-Hermiticity entanglement |
| title | Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement |
| title_full | Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement |
| title_fullStr | Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement |
| title_full_unstemmed | Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement |
| title_short | Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement |
| title_sort | para grassmannian coherent and squeezed states for pseudo hermitian q oscillator and their entanglement |
| topic | para-Grassmann variables coherent state squeezed state pseudo-Hermiticity entanglement |
| url | http://dx.doi.org/10.3842/SIGMA.2011.084 |
| work_keys_str_mv | AT yusefmaleki paragrassmanniancoherentandsqueezedstatesforpseudohermitianqoscillatorandtheirentanglement |