Institutional Repository [SANDBOX]
Technical University of Crete
EN  |  EL

Search

Browse

My Space

Phase space regions operators and ISp(2) maps

Ellinas Dimosthenis, Bracken Anthony J.

Full record


URI: http://purl.tuc.gr/dl/dias/C5C6C3DB-3B09-46DF-8F27-4C14235C392F
Year 2018
Type of Item Conference Full Paper
License
Details
Bibliographic Citation D. Ellinas and A.J. Bracken, "Phase space regions operators and ISp(2) maps," in 32nd International Colloquium on Group Theoretical Methods in Physics, 2018. doi: 10.1088/1742-6596/1194/1/012033 https://doi.org/10.1088/1742-6596/1194/1/012033
Appears in Collections

Summary

Region operators (generalized observable) (RO), defined as operator valued probability measures over classical phase space ensuing from quantization of phase space characteristic functions are investigated. The problem of constructing of RO is treated by means of positive trace increasing maps (pti maps). Exemplary domains of RO include: sets of points, line segments and rotated line segments, circles and disks, straight and rotated lines, canonical polygons, squeezed line segments, and lines related to Radon transform in phase space. Phase plane RO constructing pti maps, in their operator sum representation, are generated by elements of the quantum symplectic in-homogeneous group ISp(2). The group ISp(2) and its double cover metaplectic group Mp(2) are the kinematical groups for RO construction on the plane.

Available Files

Services

Statistics