Time in Quantum MechanicsJ.G. Muga, R. Sala Mayato, I.L. Egusquiza Springer Science & Business Media, 1 jul 2003 - 419 páginas Time and quantum mechanics have, each of them separately, captivated s- entists and laymen alike, as shown by the abundance of popular publications on “time” or on the many quantum mysteries or paradoxes. We too have been seduced by these two topics, and in particular by their combination. Indeed, the treatment of time in quantum mechanics is one of the important and challenging open questions in the foundations of quantum theory. This book describes the problems, and the attempts and achievements in de?ning, formalizing and measuring di?erent time quantities in quantum theory, such as the parametric (clock) time, tunneling times, decay times, dwell times, delay times, arrival times or jump times. The theoretical analysis of several of these quantities has been controversial and is still subject to debate. For example, there are literally hundreds of research papers on the tunneling time. In fact, the standard recipe to link the observables and the formalism does not seem to apply, at least in an obvious manner, to time observables. This has posed the challenge of extending the domain of ordinary quantum mechanics. |
Índice
1 | |
2 Characteristic Times in OneDimensional Scattering | 29 |
3 The TimeEnergy Uncertainty Relation | 69 |
The Duration of a Quantum Transition | 99 |
5 Bohm Trajectory Approach to Timing Electrons | 121 |
6 Decoherent Histories for SpaceTime Domains | 153 |
7 Quantum Traversal Time and Path Integrals | 183 |
8 Quantum Clocks and Stopwatches | 217 |
9 The Local Larmor Clock Partial Densities of States and Mesoscopic Physics | 256 |
10 Standard Quantum Mechanical Approach to Times of Arrival | 279 |
11 Experimental Issues in QuantumMechanical Time Measurement | 305 |
12 Microwave Experiments on Tunneling Time | 326 |
13 The TwoState Vector Formalism of Quantum Mechanics | 369 |
413 | |
Términos y frases comunes
Aharonov amplitude arrival atom barrier Bohm trajectory Bohm’s Bohmian mechanics Brouard Büttiker C.R. Leavens classical components consider corresponding coupling decay decoherence defined described detector duration effect eigenstate eigenvalues electron energy ensemble equation evolution experiment experimental free particle frequency given group delay Hamiltonian Hilbert space I.L. Egusquiza imaginary incident initial interaction interpretation interval J.G. Muga Kijowski Larmor clock Lett limit magnetic field matrix measuring device momentum motion observable obtained operator partial densities path integral phase photon Phys physical pointer position post-selected potential POVM precession problem propagation pulse quantity quantum clock quantum measurement quantum mechanics quantum system quantum theory region saddle point scattering Schrödinger Schrödinger equation Sect self-adjoint self-adjoint operator semiclassical spin superluminal theoretical transition transmission traversal tunneling two-state vector uncertainty relation velocity wave function wave packet weak measurement weak value width Wigner zero