Everything about Propagator
Function in quantum field theory showing probability amplitudes of moving particles
In quantum mechanics and quantum field theory, the propagator is a function that specifies the probability amplitude for a particle to travel from one place to another in a given period of time, or to travel with a certain energy and momentum. In Feynman diagrams, which serve to calculate the rate of collisions in quantum field theory, virtual particles contribute their propagator to the rate of the scattering event described by the respective diagram. Propagators may also be viewed as the inverse of the wave operator appropriate to the particle, and are, therefore, often called (causal) Green's functions. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: PropagatorA 5-minute orientation
- Skim a recent paper: Adult lifespan maturation and degeneration patterns in gray and white matter: A mean apparent propagator (MAP) MRI studyInfluential work since 2022
- Pick up a classic book: The Tiny SeedThe most-reprinted book on the subject
- Read the landmark paper: Beyond the random-phase approximation: A new approximation scheme for the polarization propagatorCited 1,102 times
- Go sideways: Source fieldA closely related topic
- Go sideways: Common integrals in quantum field theoryA closely related topic
đź“– Definitions
Noun A person who disseminates news or rumour
Noun A person who propagates plants
Noun A covered, sometimes heated container for germinating seeds or raising seedlings
Noun A function that represents the quantum propagation of a subatomic particle
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Beyond the random-phase approximation: A new approximation scheme for the polarization propagator
Tensor propagator for iterative quantum time evolution of reduced density matrices. I. Theory
An efficient polarization propagator approach to valence electron excitation spectra
The algebraic diagrammatic construction scheme for the polarization propagator for the calculation of excited states
Diffusion propagator as a probe of the structure of porous media
Tensor propagator for iterative quantum time evolution of reduced density matrices. II. Numerical methodology
Mean apparent propagator (MAP) MRI: A novel diffusion imaging method for mapping tissue microstructure
Transition moments and dynamic polarizabilities in a second order polarization propagator approach
🆕 Influential since 2022
Adult lifespan maturation and degeneration patterns in gray and white matter: A mean apparent propagator (MAP) MRI study
Scaling of the Fock-space propagator and multifractality across the many-body localization transition
The fourth-order algebraic diagrammatic construction scheme for the polarization propagator
Mean apparent propagator-MRI in evaluation of glioma grade, cellular proliferation, and IDH-1 gene mutation status
Worldline master formulas for the dressed electron propagator. Part 2. On-shell amplitudes
đź“š Books worth reading
The Tiny SeedEric Carle · 1970
How a Seed GrowsHelene J. Jordan · 1960
American Horticultural Society Practical GuidesDK Publishing, Alan R. Toogood · 1999
Principles of plant cultureGoff, E. S. · 1897
The grafter's handbookR. J. Garner · 1947
The nursery-bookL. H. Bailey · 1891
Plant propagationHudson Thomas Hartmann, Hudson T. Hartmann · 1959
Micropropagation of orchidsJoseph Arditti · 1993
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Source field In theoretical physics, a source is an abstract concept, developed by Julian Schwinger, motivated by the physical effects of surrounding particles involved…
- Common integrals in quantum field theory Common integrals in quantum field theory are set of formulas that are useful for computation of various types in quantum field theory such as partition…
- Scalar field theory In theoretical physics, scalar field theory can refer to a relativistically invariant classical or quantum theory of scalar fields. A scalar field is invariant…
- Feynman diagram In theoretical physics, a Feynman diagram is a pictorial representation of the mathematical expressions describing the behavior and interaction of subatomic…
- Schwinger's quantum action principle Schwinger's quantum action principle is a variational approach to quantum mechanics and quantum field theory. This theory was introduced by Julian Schwinger…
- Klein–Gordon equation In particle physics, the Klein–Gordon equation is a relativistic wave equation for spinless particles. It was discovered in 1926 as the relativistic generalizat…
- Path-integral formulation The path-integral formulation of quantum mechanics generalizes the action principle of classical mechanics. It replaces the classical notion of a single…
- Schwinger–Dyson equation The Schwinger–Dyson equations (SDEs) or Dyson–Schwinger equations, named after Julian Schwinger and Freeman Dyson, are general relations between correlation…