We calculate spatial localization and phase properties of spontaneously emitted photons. Our model is simple yet fully quantized: the emitting atom is a two-level atom located in a one-dimensional multimode optical cavity. Although the photon state vector does not have a position-space representation, the expectation value of the square of the electric field operator (intensity) is spatially localized and this pattern shifts at the speed of light. The emitted photon exhibits classical-like phase properties in the intensity expectation value when it “interferes with itself” after reflection. The phase properties of the emitted radiation are also evident at times sufficiently long for the radiation to have returned to the emitting atom before the decay of excited atomic state is complete.
Skip Nav Destination
Article navigation
January 2002
PAPERS|
January 01 2002
The calculated photon: Visualization of a quantum field
Martin Ligare;
Martin Ligare
Department of Physics, Bucknell University, Lewisburg, Pennsylvania 17837
Search for other works by this author on:
Ryan Oliveri
Ryan Oliveri
Department of Physics, Bucknell University, Lewisburg, Pennsylvania 17837
Search for other works by this author on:
Am. J. Phys. 70, 58–66 (2002)
Article history
Received:
May 21 2001
Accepted:
September 07 2001
Citation
Martin Ligare, Ryan Oliveri; The calculated photon: Visualization of a quantum field. Am. J. Phys. 1 January 2002; 70 (1): 58–66. https://doi.org/10.1119/1.1417531
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Pay-Per-View Access
$40.00
Citing articles via
It is time to honor Emmy Noether with a momentum unit
Geoff Nunes, Jr.
All objects and some questions
Charles H. Lineweaver, Vihan M. Patel
Exploration of the Q factor for a parallel RLC circuit
J. G. Paulson, M. W. Ray
Resource Letter ALC-1: Advanced Laboratory Courses
Walter F. Smith
Geometric visualizations of single and entangled qubits
Li-Heng Henry Chang, Shea Roccaforte, et al.
Lagrange points and regionally conserved quantities
Eric M. Edlund