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Self-adjoint extensions of bipartite Hamiltonians
| Content Provider | Scilit |
|---|---|
| Author | Lenz, Daniel Weinmann, Timon Wirth, Melchior |
| Copyright Year | 2021 |
| Description | We compute the deficiency spaces of operators of the form $H_A{\hat {\otimes }} I + I{\hat {\otimes }} H_B$ , for symmetric $H_A$ and self-adjoint $H_B$ . This enables us to construct self-adjoint extensions (if they exist) by means of von Neumann's theory. The structure of the deficiency spaces for this case was asserted already in Ibort et al. [Boundary dynamics driven entanglement, J. Phys. A: Math. Theor.47(38) (2014) 385301], but only proven under the restriction of $H_B$ having discrete, non-degenerate spectrum. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/365E019A757F3978FB4C1CD465B4AF2F/S0013091521000080a.pdf/div-class-title-self-adjoint-extensions-of-bipartite-hamiltonians-div.pdf |
| Ending Page | 447 |
| Page Count | 15 |
| Starting Page | 433 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091521000080 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 3 |
| Volume Number | 64 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2021-06-22 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society Mathematical Physics Operator Theory Functional Analysis Quantum Systems Spectral Theory adjoint Extensions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
