Aud B - Friday April 13, 14.15

Abstract:
This talk stems from a fundamental dissatisfaction with
the way in which the time-dependent Schrödinger equation
(TDSE) is presented in quantum texts. After a brief discussion
of time in classical mechanics an historical account of
Schrödinger’s own derivation will be given. Then it is
demonstrated, contrary to popular belief, that the TDSE is an
approximate equation derivable from the time-independent
Schrödinger equation (TISE) (and not the other way around
!). This derivation resolves many difficulties associated with
standard approaches. The implication of this point of view for
circumventing similar difficulties in derivations of the
time-energy uncertainty relation is discussed. Finally an
interesting connection to the problem of time in canonical
quantum gravity is pointed out.