Time in Quantum Mechanics - Vol. 2

1. Front Matter

   Pages i-x

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2. Memories of Old Times: Schlick and Reichenbach on Time in Quantum Mechanics

   • José M. Sánchez-Ron

   Pages 1-13

3. The Time-Dependent Schrödinger Equation Revisited: Quantum Optical and Classical Maxwell Routes to Schrödinger’s Wave Equation

   • Marlan O. Scully

   Pages 15-24

4. Post Pauli’s Theorem Emerging Perspective on Time in Quantum Mechanics

   • Eric A. Galapon

   Pages 25-63

5. Detector Models for the Quantum Time of Arrival

   • Andreas Ruschhaupt, J. Gonzalo Muga, Gerhard C. Hegerfeldt

   Pages 65-96

6. Dwell-Time Distributions in Quantum Mechanics

   • José Muñoz, Iñigo L. Egusquiza, Adolfo del Campo, Dirk Seidel, J. Gonzalo Muga

   Pages 97-125

7. The Quantum Jump Approach and Some of Its Applications

   • Gerhard C. Hegerfeldt

   Pages 127-174

8. Causality in Superluminal Pulse Propagation

   • Robert W. Boyd, Daniel J. Gauthier, Paul Narum

   Pages 175-204

9. Experiments on Quantum Transport of Ultra-Cold Atoms in Optical Potentials

   • Martin C. Fischer, Mark G. Raizen

   Pages 205-237

10. Quantum Post-Exponential Decay

    • Joan Martorell, J. Gonzalo Muga, Donald W.L. Sprung

    Pages 239-275

11. Timescales in Quantum Open Systems: Dynamics of Time Correlation Functions and Stochastic Quantum Trajectory Methods in Non-Markovian Systems

    • Daniel Alonso, Inés de Vega

    Pages 277-301

12. Double-Slit Experiments in the Time Domain

    • Gerhard G. Paulus, Dieter Bauer

    Pages 303-339

13. Optimal Time Evolution for Hermitian and Non-Hermitian Hamiltonians

    • Carl M. Bender, Dorje C. Brody

    Pages 341-361

14. Atomic Clocks

    • Robert Wynands

    Pages 363-418

15. Back Matter

    Pages 419-423

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But all the clocks in the city Began to whirr and chime: ’O let not Time deceive you, You cannot conquer Time. W. H. Auden It is hard to think of a subject as rich, complex, and important as time. From the practical point of view it governs and organizes our lives (most of us are after all attached to a wrist watch) or it helps us to wonderfully ?nd our way in unknown territory with the global positioning system (GPS). More generally it constitutes the heartbeat of modern technology. Time is the most precisely measured quantity, so the second de?nes the meter or the volt and yet, nobody knows for sure what it is, puzzling philosophers, artists, priests, and scientists for centuries as one of the enduring enigmas of all cultures. Indeed time is full of contrasts: taken for granted in daily life, it requires sophisticated experimental and theoretical treatments to be accurately “produced. ” We are trapped in its web, and it actually kills us all, but it also constitutes the stuff we need to progress and realize our objectives. There is nothing more boring and monotonous than the tick-tock of a clock, but how many fascinating challenges have physicists met to realize that monotony: Quite a number of Nobel Prize winners have been directly motivated by them or have contributed 1 signi?cantly to time measurement.

• dwell-time distributions
• quantum jump processes
• quantum mechanics
• quantum post-exponential decay
• quantum theory
• superluminal pulses

• Depto. Quimica Fisica EHU, Universidad Pais Vasco, Bilbao, Spain

  Gonzalo Muga

• Inst. Mathematische Physik, TU Braunschweig, Braunschweig, Germany

  Andreas Ruschhaupt

• Inst. Mathematical Sciences, Imperial College London, London, UK

  Adolfo Campo

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