Portada del libro de Pauli Matrices
Título del libro:

Pauli Matrices

Betascript Publishing (2010-06-06 )

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ISBN-13:

978-613-0-33583-0

ISBN-10:
6130335830
EAN:
9786130335830
Idioma del libro:
Inglés
Notas y citas / Texto breve:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In physics, the Pauli matrices are a set of 2 × 2 complex Hermitian and unitary matrices (See also ref.[1]). Usually indicated by the Greek letter 'sigma' (σ), they are occasionally denoted with a 'tau' (τ) when used in connection with isospin symmetries. They are: sigma_1 = sigma_x = begin{pmatrix} 0&1 1&0 end{pmatrix} sigma_2 = sigma_y = begin{pmatrix} 0&-i i&0 end{pmatrix} sigma_3 = sigma_z = begin{pmatrix} 1&0 0&-1 end{pmatrix}. The name refers to Wolfgang Pauli. The real (hence also, complex) subalgebra generated by the σi (that is, the set of real or complex linear combinations of all the elements which can be built up as products of Pauli matrices) is the full set M2(C) of complex 2×2 matrices. The σi can also be seen as generating the real Clifford algebra of the real quadratic form with signature (3,0): this shows that this Clifford algebra Cℓ3,0(R) is isomorphic to M2(C), with the Pauli matrices providing an explicit isomorphism. (In particular, the Pauli matrices define a faithful representation of the real Clifford algebra Cℓ3,0(R) on the complex vector space C2 of dimension 2.)
Editorial:
Betascript Publishing
Sitio web:
https://www.betascript-publishing.com/
Editado por:
Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
Número de páginas:
132
Publicado en:
2010-06-06
Stock:
Disponible
Categoría:
Matemáticas
Precio:
45.00 €
Palabras clave:
Hermitian Matri, Complex Number, Unitary Matrix, Matrix, Isospin, Wolfgang Pauli, Subalgebra, Linear Combination, Clifford Algebra, Metric Signature, Angular Momentum, Gell-Mann Atrices, Generalizations of Pauli Matrix

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