Matches in SemOpenAlex for { <https://semopenalex.org/work/W1968404583> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W1968404583 endingPage "175" @default.
- W1968404583 startingPage "166" @default.
- W1968404583 abstract "We introduce certain functions which may be considered as generalizations of the usual surface harmonics. They enable us to express in concise form the relation between relativistic wave functions as given in the linear momentum basis and those given in the angular momentum basis for particles of any spin and any mass. Representations of finite rotations about any axis orthogonal to the z-axis can also be expressed simply in terms of these generalized surface harmonics. Completeness and orthogonality relations will be given for these functions as well as other properties such as expansions of products. The new functions form the basis of a ray representation of the rotation group in a manner similar to that which is formed by the usual surface harmonics. In addition to their usefulness in relating the linear momentum basis to the angular momentum basis for relativistic wave functions, in later papers we shall use the generalized surface harmonics to quantize the electromagnetic vector potential in terms of an angular momentum basis which is a close analogue to the expansions of classical radiation in terms of multipoles used by Blatt and Weisskopf. Also in a later paper we shall use the generalized surface harmonics to obtain the Clebsch-Gordan coefficients for the direct product of two massless representations of the proper, orthochronous Lorentz group." @default.
- W1968404583 created "2016-06-24" @default.
- W1968404583 creator A5043495576 @default.
- W1968404583 date "1967-01-01" @default.
- W1968404583 modified "2023-10-18" @default.
- W1968404583 title "Generalized surface harmonics" @default.
- W1968404583 cites W2010762654 @default.
- W1968404583 cites W2024124828 @default.
- W1968404583 cites W2056489117 @default.
- W1968404583 cites W2056742760 @default.
- W1968404583 cites W2060680231 @default.
- W1968404583 doi "https://doi.org/10.1016/0003-4916(67)90202-3" @default.
- W1968404583 hasPublicationYear "1967" @default.
- W1968404583 type Work @default.
- W1968404583 sameAs 1968404583 @default.
- W1968404583 citedByCount "14" @default.
- W1968404583 crossrefType "journal-article" @default.
- W1968404583 hasAuthorship W1968404583A5043495576 @default.
- W1968404583 hasConcept C113603373 @default.
- W1968404583 hasConcept C121332964 @default.
- W1968404583 hasConcept C12426560 @default.
- W1968404583 hasConcept C150454350 @default.
- W1968404583 hasConcept C155675718 @default.
- W1968404583 hasConcept C165801399 @default.
- W1968404583 hasConcept C188414643 @default.
- W1968404583 hasConcept C20569695 @default.
- W1968404583 hasConcept C20782240 @default.
- W1968404583 hasConcept C2524010 @default.
- W1968404583 hasConcept C2776799497 @default.
- W1968404583 hasConcept C3079626 @default.
- W1968404583 hasConcept C33923547 @default.
- W1968404583 hasConcept C3768446 @default.
- W1968404583 hasConcept C45193367 @default.
- W1968404583 hasConcept C5667645 @default.
- W1968404583 hasConcept C5917680 @default.
- W1968404583 hasConcept C62520636 @default.
- W1968404583 hasConcept C74650414 @default.
- W1968404583 hasConcept C77237485 @default.
- W1968404583 hasConceptScore W1968404583C113603373 @default.
- W1968404583 hasConceptScore W1968404583C121332964 @default.
- W1968404583 hasConceptScore W1968404583C12426560 @default.
- W1968404583 hasConceptScore W1968404583C150454350 @default.
- W1968404583 hasConceptScore W1968404583C155675718 @default.
- W1968404583 hasConceptScore W1968404583C165801399 @default.
- W1968404583 hasConceptScore W1968404583C188414643 @default.
- W1968404583 hasConceptScore W1968404583C20569695 @default.
- W1968404583 hasConceptScore W1968404583C20782240 @default.
- W1968404583 hasConceptScore W1968404583C2524010 @default.
- W1968404583 hasConceptScore W1968404583C2776799497 @default.
- W1968404583 hasConceptScore W1968404583C3079626 @default.
- W1968404583 hasConceptScore W1968404583C33923547 @default.
- W1968404583 hasConceptScore W1968404583C3768446 @default.
- W1968404583 hasConceptScore W1968404583C45193367 @default.
- W1968404583 hasConceptScore W1968404583C5667645 @default.
- W1968404583 hasConceptScore W1968404583C5917680 @default.
- W1968404583 hasConceptScore W1968404583C62520636 @default.
- W1968404583 hasConceptScore W1968404583C74650414 @default.
- W1968404583 hasConceptScore W1968404583C77237485 @default.
- W1968404583 hasIssue "1" @default.
- W1968404583 hasLocation W19684045831 @default.
- W1968404583 hasOpenAccess W1968404583 @default.
- W1968404583 hasPrimaryLocation W19684045831 @default.
- W1968404583 hasRelatedWork W1612892948 @default.
- W1968404583 hasRelatedWork W1968404583 @default.
- W1968404583 hasRelatedWork W1979522361 @default.
- W1968404583 hasRelatedWork W2033694478 @default.
- W1968404583 hasRelatedWork W2051223984 @default.
- W1968404583 hasRelatedWork W2064248339 @default.
- W1968404583 hasRelatedWork W2153085626 @default.
- W1968404583 hasRelatedWork W2387434608 @default.
- W1968404583 hasRelatedWork W2461986338 @default.
- W1968404583 hasRelatedWork W3023627226 @default.
- W1968404583 hasVolume "41" @default.
- W1968404583 isParatext "false" @default.
- W1968404583 isRetracted "false" @default.
- W1968404583 magId "1968404583" @default.
- W1968404583 workType "article" @default.