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Abstract: The well known Pauli's theorem claims that the existence of a self-adjoint time operator (of any kind) canonically conjugate to a Hamiltonian implies that the time operator and the Hamiltonian have completely continuous spectra spanning the entire real line. This would mean that there exists no self-adjoint time operator canonically conjugate to the generally discrete and semibounded Hamiltonian. Recently, the validity of the Pauli's theorem in different circumstances has been critically evaluated. After a few introductory remarks about the time operator problem in quantum mechanics we construct a time operator and discuss its properties for a system of N interacting particles with the Hamiltonian as one of the generators of the SU(1,1) group.
Seminarsko predavanje bo v cetrtek, 15. februarja 2001 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritlicje. Vljudno vabljeni vsi zainteresirani, tudi študenti.