A relativistic one-particle Time of Arrival operator for a free spin-1/2 particle in (1+1) dimensions

作者：Bunao Joseph^*; Galapon Eric A

来源：Annals of Physics, 2015, 356: 369-382.

DOI：10.1016/j.aop.2015.03.018

• Dirac particle
• Quantum arrival time
• Spin-1/2
• Time of Arrival operator

As a follow-up to a recent study in the spin-0 case (Bunao and Galapon, 2015), we construct a one-particle Time of Arrival (TOA) operator conjugate to a Hamiltonian describing a free relativistic spin-1/2 particle in one spatial dimension. Upon transformation in a representation where the Hamiltonian is diagonal, it turns out that the constructed operator consists of an operator term (T) over cap whose action is the same as in the spin-0 case, and another operator term (T) over cap (0) which commutes with the Hamiltonian but breaks invariance under parity inversion. If we must impose this symmetry on our TOA operator, then we can throw away (T) over cap (0) so that the TOA operator is just (T) over cap.

• 出版日期2015-5