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spin projection operator

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  • Spin-½ — In quantum mechanics, spin is an intrinsic property of all elementary particles. Fermions, the particles that constitute ordinary matter, have half integer spin. Spin ½ particles constitute an important subset of such fermions. All known… …   Wikipedia

  • Spin contamination — In computational chemistry, spin contamination is the artificial mixing of different electronic spin states. This can occur when an approximate orbital based wave function is represented in an unrestricted form – that is, when the spatial parts… …   Wikipedia

  • Spin wave — Spin waves are propagating disturbances in the ordering of magnetic materials. These low lying collective excitations occur in magnetic lattices with continuous symmetry. From the equivalent quasiparticle point of view, spin waves are known as… …   Wikipedia

  • 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

  • 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

  • Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

  • Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …   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

  • Configuration state function — In quantum chemistry, a configuration state function (CSF), is a symmetry adapted linear combination of Slater determinants. A CSF must not be confused with a configuration. Contents 1 Definition 2 From Configurations to Configuration State… …   Wikipedia

  • Chirality (physics) — A chiral phenomenon is one that is not identical to its mirror image (see Chirality). The spin of a particle may be used to define a handedness (aka chirality) for that particle. A symmetry transformation between the two is called parity.… …   Wikipedia

  • Antisymmetrizer — In quantum mechanics, an antisymmetrizer mathcal{A} (also known as antisymmetrizing operator [P.A.M. Dirac, The Principles of Quantum Mechanics , 4th edition, Clarendon, Oxford UK, (1958) p. 248] ) is a linear operator that makes a wave function… …   Wikipedia

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