Cooperative Lamb shift in an ellipsoid

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.063822· OSTI ID:21439548

Friedberg, Richard; Manassah, Jamal T ^[1]

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1. Department of Physics, Columbia University, New York, New York 10027 (United States)

It has been long known that the global cooperative Lamb shift (CLS) in a large superradiantly emitting sphere has equal magnitude but opposite sign to that of a slab. This result was obtained from QED in 1973 for samples of uniform density. This change of sign holds as well for a Gaussian density distribution. The same result is also obtained for either density in the scalar simplification of QED now in frequent use. Since the CLS must be a continuous function of shape, and the slab resembles a limiting case of oblate ellipsoid, there must be some shape of ellipsoid for which the CLS is zero. We report a calculation of CLS for a Gaussian distribution of general azimuthally symmetric ellipsoidal shape. The CLS is found to vanish when the mean square radius is twice as great transversely as longitudinally.

• OSTI ID: 21439548
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.063822; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY
GAUSS FUNCTION
LAMB SHIFT
QUANTUM ELECTRODYNAMICS
SCALARS
SPHERES
SUPERRADIANCE
SYMMETRY
ELECTRODYNAMICS
EMISSION
ENERGY-LEVEL TRANSITIONS
FIELD THEORIES
FUNCTIONS
PHOTON EMISSION
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
SPECTRAL SHIFT
STIMULATED EMISSION