On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866910746013597696 |
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| author | Fernández, Francisco M. |
| author_facet | Fernández, Francisco M. |
| contents | We show that some non-Hermitian Hamiltonian operators with tridiagonal matrix representation may be quasi Hermitian or similar to Hermitian operators. In the class of Hamiltonian operators discussed here the transformation is given by a Hermitian, positive-definite, diagonal operator. We show that there is an important difference between open boundary conditions and periodic ones. We illustrate the theoretical results by means of two simple, widely used, models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_14540 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation Fernández, Francisco M. Quantum Physics We show that some non-Hermitian Hamiltonian operators with tridiagonal matrix representation may be quasi Hermitian or similar to Hermitian operators. In the class of Hamiltonian operators discussed here the transformation is given by a Hermitian, positive-definite, diagonal operator. We show that there is an important difference between open boundary conditions and periodic ones. We illustrate the theoretical results by means of two simple, widely used, models. |
| title | On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2109.14540 |