spin operator algebra

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• Spin (physics) — This article is about spin in quantum mechanics. For rotation in classical mechanics, see angular momentum. In quantum mechanics and particle physics, spin is a fundamental characteristic property of elementary particles, composite particles… …   Wikipedia

• Spin — (von englisch spin ‚Drehung‘, ‚Drall‘), auch Eigendrehimpuls, ist eine quantenmechanische Eigenschaft von Teilchen. Spin hat kein Pendant in der klassischen Physik, und somit können semi klassische Erklärungen und Analogien nicht vollständig …   Deutsch Wikipedia

• Spin-Gruppe — Ein Spinor ist in der Mathematik, und dort speziell in der Differentialgeometrie, ein Vektor in einer kleinsten Darstellung (ρ,V) einer Spin Gruppe. Die Spin Gruppe ist isomorph zu einer Teilmenge einer Clifford Algebra, jede Clifford Algebra ist …   Deutsch Wikipedia

• Operator (physics) — In physics, an operator is a function acting on the space of physical states. As a result of its application on a physical state, another physical state is obtained, very often along with some extra relevant information. The simplest example of… …   Wikipedia

• Rotation operator (quantum mechanics) — This article concerns the rotation operator, as it appears in quantum mechanics.The translation operatorThe rotation operator ,mbox{R}(z, t), with the first argument ,z indicating the rotation axis and the second ,t = heta the rotation angle, is… …   Wikipedia

• Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… …   Wikipedia

• Dirac operator — In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half iterate, of a second order operator such as a Laplacian. The original case which concerned Paul Dirac was to factorise… …   Wikipedia

• Dirac-Operator — Die Dirac Gleichung beschreibt in der Quantenmechanik die Eigenschaften und das Verhalten des Elektrons (und anderer Spin 1/2 Teilchen) und berücksichtigt dabei die spezielle Relativitätstheorie. Sie wurde 1928 von Paul Dirac entwickelt. Aus ihr… …   Deutsch Wikipedia

• Angular momentum operator — In quantum mechanics, the angular momentum operator is an operator analogous to classical angular momentum. The angular momentum operator plays a central role in the theory of atomic physics and other quantum problems involving rotational… …   Wikipedia

• Dirac spinor — In quantum field theory, the Dirac spinor is the bispinor in the plane wave solution of the free Dirac equation, where (in the units ) is a relativistic spin 1/2 field …   Wikipedia

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia