Time of arrival operator in the momentum space

M., Schlichtinger, A.; A., Jadczyk,

doi:10.1016/s0034-4877(23)00037-x

Cited by 4 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example, when a single-photon detector clicks, it measures the position of the arriving photon at that instant in time [58,59]. Defining a time of arrival operator for a localised photon detector, however, has been a significant problem and could not be achieved within the standard Hilbert space of the quantised EM field [60][61][62][63][64]. The origin of the wave function problem was that many authors liked to identify the wave function of the photon with its electric field amplitudes, but the complex electric field amplitudes at different positions do not commute.…”

Section: The Quantised Em Field In the Stationary Framementioning

confidence: 99%

A Simple Quantum Picture of the Relativistic Doppler Effect

Hodgson,

Kanzi,

Beige

2024

Symmetry

View full text Add to dashboard Cite

The relativistic Doppler effect comes from the fact that observers in different inertial reference frames experience space and time differently, while the speed of light always remains the same. Consequently, a wave packet of light exhibits different frequencies, wavelengths, and amplitudes. In this paper, we present a local approach to the relativistic Doppler effect based on relativity, spatial and time translational symmetries, and energy conservation. Afterwards, we investigate the implications of the relativistic Doppler effect for the quantum state transformations of wave packets of light and show that a local photon is a local photon at the same point in the spacetime diagram in all inertial frames.

show abstract