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- DeWitt_notation abstract "Physics often deals with classical models where the dynamical variables are a collection of functions {φα}α over a d-dimensional space/spacetime manifold M where α is the "flavor" index. This involves functionals over the φ's, functional derivatives, functional integrals, etc. From a functional point of view this is equivalent to working with an infinite-dimensional smooth manifold where its points are an assignment of a function for each α, and the procedure is in analogy with differential geometry where the coordinates for a point x of the manifold M are φα(x).In the DeWitt notation (named after theoretical physicist Bryce DeWitt), φα(x) is written as φi where i is now understood as an index covering both α and x.So, given a smooth functional A, A,i stands for the functional derivativeas a functional of φ. In other words, a "1-form" field over the infinite dimensional "functional manifold".In integrals, the Einstein summation convention is used. Alternatively,".
- DeWitt_notation wikiPageID "1300778".
- DeWitt_notation wikiPageRevisionID "603012268".
- DeWitt_notation hasPhotoCollection DeWitt_notation.
- DeWitt_notation subject Category:Mathematical_notation.
- DeWitt_notation comment "Physics often deals with classical models where the dynamical variables are a collection of functions {φα}α over a d-dimensional space/spacetime manifold M where α is the "flavor" index. This involves functionals over the φ's, functional derivatives, functional integrals, etc.".
- DeWitt_notation label "DeWitt notation".
- DeWitt_notation sameAs m.04r3jq.
- DeWitt_notation sameAs Q5244204.
- DeWitt_notation sameAs Q5244204.
- DeWitt_notation wasDerivedFrom DeWitt_notation?oldid=603012268.
- DeWitt_notation isPrimaryTopicOf DeWitt_notation.