A Time Operator and the Time-Of-Arrival Problem in Quantum Field Theory
Por:
Colosi, D, Oeckl, R
Publicada:
1 ago 2025
Resumen:
The Newton-Wigner states and operator are widely accepted to provide an adequate notion of spatial localization of a particle in quantum field theory on a spacelike hypersurface. Replacing the spacelike with a timelike hypersurface, we construct one-particle states of massive Klein-Gordon theory that are localized on the hypersurface in the temporal as well as two spatial directions. This addresses the longstanding problem of a "time operator" in quantum theory. It is made possible by recent advances in quantization on timelike hypersurfaces and the introduction of evanescent particles. As a first application of time-localized states, we consider the time-of-arrival problem. Our results are in accordance with semiclassical expectations of causal propagation of massless and massive particles. As in the Newton-Wigner case, localization is not perfect, but apparent superluminal propagation is exponentially suppressed.
Filiaciones:
Colosi, D:
Univ Nacl Autonoma Mexico, Escuela Nacl Estudios Super, Unidad Morelia, Morelia 58190, Michoacan, Mexico
Oeckl, R:
Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Morelia 58190, Michoacan, Mexico
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