TIME IN QUANTUM MECHANICS

By JOHN ROBINSON

CONTENTS 1 INTRODUCTION 2 CHARACTERISTIC TIMES IN ONE-DIMENSIONAL SCATTERING 3 THE TIME–ENERGY UNCERTAINTY RELATION 4 JUMP TIME AND PASSAGE TIME: THE DURATION OF A QUANTUM TRANSITION 5 BOHM TRAJECTORY APPROACH TO TIMING ELECTRONS 6 DECOHERENT HISTORIES FOR SPACE–TIME DOMAINS 7 QUANTUM TRAVERSAL TIME, PATH INTEGRALS AND ‘SUPERLUMINAL’ TUNNELLING 8 QUANTUM CLOCKS AND STOPWATCHES 9 THE LOCAL LARMOR CLOCK, PARTIAL DENSITIES OF STATES, AND MESOSCOPIC PHYSICS 10 “STANDARD” QUANTUM–MECHANICAL APPROACH TO TIMES OF ARRIVAL 11 EXPERIMENTAL ISSUES IN QUANTUM–MECHANICAL TIME MEASUREMENT 12 MICROWAVE EXPERIMENTS ON TUNNELING TIME 13 THE TWO-STATE VECTOR FORMALISM: AN UPDATED REVIEW