Solutions of time-dependent Schrodinger equations for model non-Hermitian quantum mechanical systems
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909423243362304 |
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| author | Burrows, Brian L |
| author_facet | Burrows, Brian L |
| contents | The time-dependent Schrodinger equation is solved for two model problems for a non-Hermitian quantum system.A simple matrix model system is used to examine two critical problems for these systems: complex and non-observable energies and situations where the matrix is defective. In addition the stationary states for infinite dimensional model system, which is confined in space , is examined and it is shown that the pattern of eigenvalue energies differs from when the system is unconfined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solutions of time-dependent Schrodinger equations for model non-Hermitian quantum mechanical systems Burrows, Brian L Quantum Physics Mathematical Physics 81Q05 The time-dependent Schrodinger equation is solved for two model problems for a non-Hermitian quantum system.A simple matrix model system is used to examine two critical problems for these systems: complex and non-observable energies and situations where the matrix is defective. In addition the stationary states for infinite dimensional model system, which is confined in space , is examined and it is shown that the pattern of eigenvalue energies differs from when the system is unconfined. |
| title | Solutions of time-dependent Schrodinger equations for model non-Hermitian quantum mechanical systems |
| topic | Quantum Physics Mathematical Physics 81Q05 |
| url | https://arxiv.org/abs/2412.07457 |