Developments in time analysis of particle and photon tunnelling

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A compact analysis of development and prospects in the study of the tunnelling evolution is given. A new systematization of various approaches to defining tunnelling times in the light of time as a quantum mechanical observable is proposed. The problem of superluminal group velocities, without violations of special relativity, is also taken in account. Then a particular attention is devoted to the presentation of new results on the analogy between particle and photon tunnelling and analysis of the causality validity during tunnelling. [PACS nos. 03.40.Kf, 03.50.De, 41.20.Jb, 41.20.Bt, 42.25.Bs, 03.30.+p, 03.65.-w].
standard LaTex file, using REVTex. This work was presented at Adriatico Research Conference ``Tunnelling and its implications'', (International Centre for Theoretical Physics, Trieste, Italy) (30 July-2 August 1996). Number of pages:36. The figures will be sent by fax to SLAC and to interested people. internet: http://www.fi.infn.it/unifi/persone/docente.htm

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