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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.13619 |
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| _version_ | 1866913187482304512 |
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| author | Maamache, Mustapha Absi, Nour El Houda |
| author_facet | Maamache, Mustapha Absi, Nour El Houda |
| contents | The η pseudo PT symmetry theory, denoted by the symbol η, explores the conditions under which non-Hermitian Hamiltonians can possess real spectra despite the violation of PT symmetry, that is the adjoint of H, denoted H^{†} is expressed as H^{†}=PTHPT. This theory introduces a new symmetry operator, η=PTη, which acts on the Hilbert space. The η pseudo PT symmetry condition requires the Hamiltonian to commute with the η operator, leading to real eigenvalues. We discuss some general implications of our results for the coupled non hermitian harmonic oscillator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13619 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A new symmetry theory for non-Hermitian Hamiltonians Maamache, Mustapha Absi, Nour El Houda Quantum Physics The η pseudo PT symmetry theory, denoted by the symbol η, explores the conditions under which non-Hermitian Hamiltonians can possess real spectra despite the violation of PT symmetry, that is the adjoint of H, denoted H^{†} is expressed as H^{†}=PTHPT. This theory introduces a new symmetry operator, η=PTη, which acts on the Hilbert space. The η pseudo PT symmetry condition requires the Hamiltonian to commute with the η operator, leading to real eigenvalues. We discuss some general implications of our results for the coupled non hermitian harmonic oscillator. |
| title | A new symmetry theory for non-Hermitian Hamiltonians |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2308.13619 |