dc.contributor.author | Simón Martínez, Miguel Ángel | |
dc.contributor.author | Buendía, Álvaro | |
dc.contributor.author | Muga Francisco, Juan Gonzalo | |
dc.date.accessioned | 2019-03-06T09:13:52Z | |
dc.date.available | 2019-03-06T09:13:52Z | |
dc.date.issued | 2018-07 | |
dc.identifier.citation | Mathematics 6(7) : (2018) // Article ID 111 | es_ES |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | http://hdl.handle.net/10810/31886 | |
dc.description.abstract | We discuss Hamiltonian symmetries and invariants for quantum systems driven by non-Hermitian Hamiltonians. For time-independent Hermitian Hamiltonians, a unitary or antiunitary transformation AHA that leaves the Hamiltonian H unchanged represents a symmetry of the Hamiltonian, which implies the commutativity [H, A] = 0 and, if A is linear and time-independent, a conservation law, namely the invariance of expectation values of A. For non-Hermitian Hamiltonians, H comes into play as a distinct operator that complements H in generalized unitarity relations. The above description of symmetries has to be extended to include also A-pseudohermiticity relations of the form AH = H A. A superoperator formulation of Hamiltonian symmetries is provided and exemplified for Hamiltonians of a particle moving in one-dimension considering the set of A operators that form Klein's 4-group: parity, time-reversal, parity&time-reversal, and unity. The link between symmetry and conservation laws is discussed and shown to be richer and subtler for non-Hermitian than for Hermitian Hamiltonians. | es_ES |
dc.description.sponsorship | This research was funded by Basque Country Government (grant number IT986-16), MINECO/FEDER, UE (grant number FIS2015-67161-P). M.A. Simon acknowledges support by the Basque Government predoctoral program (grant number PRE-2017-2-0051). | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation | info:eu-repo/grantAgreement/MINECO/FIS2015-67161-P | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.subject | symmetry | es_ES |
dc.subject | time-reversal | es_ES |
dc.subject | non-Hermitian Hamiltonians | es_ES |
dc.subject | quantum | es_ES |
dc.subject | potentials | es_ES |
dc.title | Symmetries and Invariants for Non-Hermitian Hamiltonians | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.holder | This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0). | es_ES |
dc.rights.holder | Atribución 3.0 España | * |
dc.relation.publisherversion | https://www.mdpi.com/2227-7390/6/7/111 | es_ES |
dc.identifier.doi | 10.3390/math6070111 | |
dc.departamentoes | Química física | es_ES |
dc.departamentoeu | Kimika fisikoa | es_ES |