Quantum measurement of space-time events
نویسندگان
چکیده
Abstract The phase space of a relativistic system can be identified with the future tube complexified Minkowski space. As well as complex structure and symplectic structure, tube, seen an eight-dimensional real manifold, is endowed natural positive-definite Riemannian metric that accommodates underlying geometry indefinite metric, together its symmetry group. A unitary representation 15-parameter group conformal transformations then constructed acts upon Hilbert square-integrable holomorphic functions on tube. These structures are enough to allow one put forward quantum theory phase-space events. In particular, measurement formulated in setting, based use positive operator valued measures, for detection events, hence allowing assign probabilities outcomes joint space-time four-momentum measurements manifestly covariant framework. This leads localization theorem events theory, determined by associated Compton wavelength.
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ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2021
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/abfac6