Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308244719> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W4308244719 abstract "It is shown that the Dirac equation with the Coulomb potential can be solved using the algebra of the three spinor invariants of the Dirac equation without the involvement of the methods of supersymmetric quantum mechanics. The Dirac Hamiltonian is invariant with respect to the rotation transformation, which indicates the dynamical (hidden) symmetry $ SU(2) $ of the Dirac equation. The total symmetry of the Dirac equation is the symmetry $ SO(3) otimes SU(2) $. The generator of the $ SO(3) $ symmetry group is given by the total momentum operator, and the generator of $ SU(2) $ group is given by the rotation of the vector-states in the spinor space, determined by the Dirac, Johnson-Lippmann, and the new spinor invariants. It is shown that using algebraic approach to the Dirac problem allows one to calculate the eigenstates and eigenenergies of the relativistic hydrogen atom and reveals the fundamental role of the principal quantum number as an independent number, even though it is represented as the combination of other quantum numbers." @default.
- W4308244719 created "2022-11-09" @default.
- W4308244719 creator A5034677926 @default.
- W4308244719 creator A5060917048 @default.
- W4308244719 creator A5072875924 @default.
- W4308244719 date "2022-11-03" @default.
- W4308244719 modified "2023-10-14" @default.
- W4308244719 title "Algebra of the spinor invariants and the relativistic hydrogen atom" @default.
- W4308244719 doi "https://doi.org/10.48550/arxiv.2211.01857" @default.
- W4308244719 hasPublicationYear "2022" @default.
- W4308244719 type Work @default.
- W4308244719 citedByCount "0" @default.
- W4308244719 crossrefType "posted-content" @default.
- W4308244719 hasAuthorship W4308244719A5034677926 @default.
- W4308244719 hasAuthorship W4308244719A5060917048 @default.
- W4308244719 hasAuthorship W4308244719A5072875924 @default.
- W4308244719 hasBestOaLocation W43082447191 @default.
- W4308244719 hasConcept C121332964 @default.
- W4308244719 hasConcept C125867301 @default.
- W4308244719 hasConcept C126255220 @default.
- W4308244719 hasConcept C130787639 @default.
- W4308244719 hasConcept C140673361 @default.
- W4308244719 hasConcept C149545384 @default.
- W4308244719 hasConcept C15184713 @default.
- W4308244719 hasConcept C156785651 @default.
- W4308244719 hasConcept C190470478 @default.
- W4308244719 hasConcept C197731005 @default.
- W4308244719 hasConcept C2776640939 @default.
- W4308244719 hasConcept C2781311116 @default.
- W4308244719 hasConcept C30005106 @default.
- W4308244719 hasConcept C33923547 @default.
- W4308244719 hasConcept C37914503 @default.
- W4308244719 hasConcept C43506125 @default.
- W4308244719 hasConcept C50575695 @default.
- W4308244719 hasConcept C52233224 @default.
- W4308244719 hasConcept C57476683 @default.
- W4308244719 hasConcept C62520636 @default.
- W4308244719 hasConcept C79955541 @default.
- W4308244719 hasConcept C82601208 @default.
- W4308244719 hasConcept C84114770 @default.
- W4308244719 hasConceptScore W4308244719C121332964 @default.
- W4308244719 hasConceptScore W4308244719C125867301 @default.
- W4308244719 hasConceptScore W4308244719C126255220 @default.
- W4308244719 hasConceptScore W4308244719C130787639 @default.
- W4308244719 hasConceptScore W4308244719C140673361 @default.
- W4308244719 hasConceptScore W4308244719C149545384 @default.
- W4308244719 hasConceptScore W4308244719C15184713 @default.
- W4308244719 hasConceptScore W4308244719C156785651 @default.
- W4308244719 hasConceptScore W4308244719C190470478 @default.
- W4308244719 hasConceptScore W4308244719C197731005 @default.
- W4308244719 hasConceptScore W4308244719C2776640939 @default.
- W4308244719 hasConceptScore W4308244719C2781311116 @default.
- W4308244719 hasConceptScore W4308244719C30005106 @default.
- W4308244719 hasConceptScore W4308244719C33923547 @default.
- W4308244719 hasConceptScore W4308244719C37914503 @default.
- W4308244719 hasConceptScore W4308244719C43506125 @default.
- W4308244719 hasConceptScore W4308244719C50575695 @default.
- W4308244719 hasConceptScore W4308244719C52233224 @default.
- W4308244719 hasConceptScore W4308244719C57476683 @default.
- W4308244719 hasConceptScore W4308244719C62520636 @default.
- W4308244719 hasConceptScore W4308244719C79955541 @default.
- W4308244719 hasConceptScore W4308244719C82601208 @default.
- W4308244719 hasConceptScore W4308244719C84114770 @default.
- W4308244719 hasLocation W43082447191 @default.
- W4308244719 hasOpenAccess W4308244719 @default.
- W4308244719 hasPrimaryLocation W43082447191 @default.
- W4308244719 hasRelatedWork W1610818490 @default.
- W4308244719 hasRelatedWork W1998400122 @default.
- W4308244719 hasRelatedWork W2012052911 @default.
- W4308244719 hasRelatedWork W2124501049 @default.
- W4308244719 hasRelatedWork W2132512275 @default.
- W4308244719 hasRelatedWork W2142789071 @default.
- W4308244719 hasRelatedWork W2527548931 @default.
- W4308244719 hasRelatedWork W2987698958 @default.
- W4308244719 hasRelatedWork W2996644814 @default.
- W4308244719 hasRelatedWork W3152124316 @default.
- W4308244719 isParatext "false" @default.
- W4308244719 isRetracted "false" @default.
- W4308244719 workType "article" @default.