eng URI http://hdl.handle.net/10795/2908 φυσικές επιστήμες στοιχειώδη σωματίδια πυρηνική φυσική We introduce the concept of parity symmetry in restricted spatial domains—local parity—and explore its impact on the stationary transport properties of generic, one-dimensional aperiodic potentials of compact support. It is shown that, in each domain of local parity symmetry of the potential, there exists an invariant quantity in the form of a nonlocal current, in addition to the globally invariant probability current. For symmetrically incoming states, both invariant currents vanish if weak commutation of the total local parity operator with the Hamiltonian is established, leading to local parity eigenstates. For asymmetrically incoming states which resonate within locally symmetric potential units, the complete local parity symmetry of the probability density is shown to be necessary and sufficient for the occurrence of perfect transmission. We connect the presence of local parity symmetries on different spatial scales to the occurrence of multiple perfectly transmitting resonances, and we propose a construction scheme for the design of resonant transparent aperiodic potentials. Our findings are illustrated through application to the analytically tractable case of piecewise constant potentials. 10 pp. LOMv1.0 creator LOMv1.0 publisher LOMv1.0 Scientific Coordinator LOMv1.0 Project Executing Organisation 2013-03-21 Digital Library of the Operational Programme "Education and Lifelong Learning" abstract types Text Quantum scattering Pairity symmetry Invariant currents Physical systems http://journals.aps.org/pra/abstract/10.1103/PhysRevA.87.032113 1122571 application/pdf http://repository.edulll.gr/edulll/bitstream/10795/2908/2/2908_1.91_%ce%94%ce%97%ce%9c_21_3_13.pdf URI http://hdl.handle.net/10795/2908 LOMv1.0creator 2016-04-26T07:50:49Z LOMv1.0validator 2016-04-26T07:50:49Z LOMv1.0 gre no no Copyright EYD-EPEDBM (Operational Programme "Education and Lifelong Learning")