TY - JOUR
T1 - A new diagrammatic methodology for non-relativistic quantum electrodynamics
AU - Jenkins, Robert
AU - Andrews, David L.
AU - Davila Romero, Luciana C.
PY - 2002/1/24
Y1 - 2002/1/24
N2 - A new diagrammatic basis is presented for quantum electrodynamical calculations on photonic processes and interactions in atomic and molecular systems. Established through a multi-dimensional representation, in which each dimension signifies photon interactions of a differentiable type, the resultant interaction graphs prove to have advantages over time-ordered diagrams. The representation registers an isomorphism of different photonic interactions, and allows the treatment of all congruent processes within a common framework. Elementary examples are given to exhibit this feature. Principles are delineated for the construction of state-sequence diagrams from the interaction plane graphs. For any given process each such diagram fully embodies the entire set of time-ordered diagrams. Implementation of the method is extensively illustrated for a variety of high-order applications relevant to current laser experimentation. The new methods prove to expedite analysis, affording a highly compact means of conveying information and, in higher-order applications, circumventing the calculational interpretation of an extremely large number of time-ordered diagrams.
AB - A new diagrammatic basis is presented for quantum electrodynamical calculations on photonic processes and interactions in atomic and molecular systems. Established through a multi-dimensional representation, in which each dimension signifies photon interactions of a differentiable type, the resultant interaction graphs prove to have advantages over time-ordered diagrams. The representation registers an isomorphism of different photonic interactions, and allows the treatment of all congruent processes within a common framework. Elementary examples are given to exhibit this feature. Principles are delineated for the construction of state-sequence diagrams from the interaction plane graphs. For any given process each such diagram fully embodies the entire set of time-ordered diagrams. Implementation of the method is extensively illustrated for a variety of high-order applications relevant to current laser experimentation. The new methods prove to expedite analysis, affording a highly compact means of conveying information and, in higher-order applications, circumventing the calculational interpretation of an extremely large number of time-ordered diagrams.
U2 - 10.1088/0953-4075/35/3/301
DO - 10.1088/0953-4075/35/3/301
M3 - Article
VL - 35
SP - 445
EP - 468
JO - Journal of Physics B: Atomic, Molecular and Optical Physics
JF - Journal of Physics B: Atomic, Molecular and Optical Physics
SN - 0953-4075
IS - 3
ER -