Courbage, Maurice; Saberi Fathi, Seyed Majid A formulae for the spectral projections of time operator. (English) Zbl 1382.81096 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 12th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 4–9, 2010. Sofia: Bulgarian Academy of Sciences. Geometry, Integrability and Quantization, 170-177 (2011). Summary: We study the one-level Friedrichs model by using the quantum time super-operator that predicts the excited state decay inside the continuum. Its survival probability decays exponentially in time.For the entire collection see [Zbl 1245.00049]. MSC: 81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis 47A10 Spectrum, resolvent PDF BibTeX XML Cite \textit{M. Courbage} and \textit{S. M. Saberi Fathi}, in: Proceedings of the 12th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 4--9, 2010. Sofia: Bulgarian Academy of Sciences. 170--177 (2011; Zbl 1382.81096) Full Text: DOI OpenURL