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 -