Arrival Time in Relativistic Quantum Mechanics

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.

16 pages, no figure, revised version

References in corpus (6)

• Unified time analysis of photon and (nonrelativistic) particle Tunnelling, and the Superluminal group-velocity problem
• Confined Quantum Time of Arrivals
• 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