Time in Quantum Mechanics

John Briggs, Freiburg University

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.