Items related to Spinors: Spinor, Dirac equation, Tangloids, Gamma matrices,...
Spinors: Spinor, Dirac equation, Tangloids, Gamma matrices, Spin representation, Spinors in three dimensions, Dirac spinor, Spin group - Softcover
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 36. Chapters: Spinor, Dirac equation, Tangloids, Gamma matrices, Spin representation, Spinors in three dimensions, Dirac spinor, Spin group, Weyl-Brauer matrices, Feynman checkerboard, Higher-dimensional gamma matrices, Fermionic field, Dirac equation in the algebra of physical space, Orientation entanglement, Triality, Pure spinor, Rarita-Schwinger equation, Feynman slash notation, Spinor bundle, Majorana equation, Fierz identity, Dirac adjoint, Spinor field, Killing spinor, Plate trick, Spin spherical harmonics, Spin connection, Van der Waerden notation. Excerpt: In mathematics and physics, in particular in the theory of the orthogonal groups (such as the rotation or the Lorentz groups), spinors are elements of a complex vector space introduced to expand the notion of spatial vector. Unlike tensors, the space of spinors cannot be built up in a unique and natural way from spatial vectors. However, spinors transform well under the infinitesimal orthogonal transformations (like infinitesimal rotations or infinitesimal Lorentz transformations). Under the full orthogonal group, however, they do not quite transform well, but only "up to a sign". This means that a 360 degree rotation transforms a spinor into its negative, and so it takes a rotation of 720 degrees for a spinor to be transformed into itself. Specifically, spinors are objects associated to a vector space with a quadratic form (like Euclidean space with the standard metric or Minkowski space with the Lorentz metric), and are realized as elements of representation spaces of Clifford algebras. For a given quadratic form, several different spaces of spinors with extra properties may exist. Spinors in general were discovered by Élie Cartan in 1913. Later, spinors were adopted by quantum mechanics in order to study the properties of the intrinsic angular momentum of the electr...
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- PublisherBooks LLC, Wiki Series
- Publication date2011
- ISBN 10 1155401530
- ISBN 13 9781155401539
- BindingTapa blanda
- LanguageEnglish
- Number of pages38
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