Relativistic free-motion time-of-arrival
arXiv:quant-ph/0701116 · doi:10.1088/1751-8113/40/8/014
Abstract
Relativistic free-motion time-of-arrival theory for massive spin-1/2 particles is systematically developed. Contrary to the nonrelativistic time-of-arrival operator studied thoroughly in previous literatures, the relativistic time-of-arrival operator possesses self-adjoint extensions because of the particle-antiparticle symmetry. The nonrelativistic limit of our theory is in agreement with the nonrelativistic time-of-arrival theory. By comparing the time-of-arrival operator with the Hamiltonian operator of a free Dirac particle, one can show a duality between position space and momentum space.
16 pages, no figure. Revised version
References in corpus (11)
- How much time does a tunneling particle spend in the barrier region?
- Unified time analysis of photon and (nonrelativistic) particle Tunnelling, and the Superluminal group-velocity problem
- Positive-Operator-Valued Time Observable in Quantum Mechanics
- Free motion time-of-arrival operator and probability distribution
- Confined Quantum Time of Arrivals
- Space-time properties of free motion time-of-arrival eigenstates
- Time-of-arrival formalism for the relativistic particle
- Relativistic Time-of-Arrival and Traversal Time
- Observability of the arrival time distribution using spin-rotator as a quantum clock
- Time in Quantum Mechanics and Quantum Field Theory
- Energy translation and Proper-Time Eigenstates
Cited by in corpus (5)
- Relativistic free motion time of arrival operator for massive spin-0 particles with positive energy
- A Relativistic One-Particle Time of Arrival Operator for a Free Spin-1/2 Particle in (1 + 1) Dimensions
- Another derivation of Weinberg's formula
- Arrival time in quantum field theory
- Time operator in QFT with Virasoro constraints