CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS

UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR

KREKOVA 2 SI-2000 MARIBOR SLOVENIA

Phone +(386) (2) 2355 350 and 2355 351 Fax +(386) (2) 2355 360

Robnik@uni-mb.si www.camtp.uni-mb.si

PROF.DR. MARKO ROBNIK, DIRECTOR

**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.**

Prof.Dr. Marko Robnik

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