enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Pauli matrices - Wikipedia

    en.wikipedia.org/wiki/Pauli_matrices

    The fact that the Pauli matrices, along with the identity matrix I, form an orthogonal basis for the Hilbert space of all 2 × 2 complex matrices , over , means that we can express any 2 × 2 complex matrix M as = + where c is a complex number, and a is a 3-component, complex vector.

  3. Spinors in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Spinors_in_three_dimensions

    Given a unit vector in 3 dimensions, for example (a, b, c), one takes a dot product with the Pauli spin matrices to obtain a spin matrix for spin in the direction of the unit vector. The eigenvectors of that spin matrix are the spinors for spin-1/2 oriented in the direction given by the vector. Example: u = (0.8, -0.6, 0) is a unit vector ...

  4. Spin matrix - Wikipedia

    en.wikipedia.org/wiki/Spin_matrix

    The term spin matrix refers to a number of matrices, which are related to Spin ... Pauli matrices, also called the "Pauli spin matrices". Generalizations of Pauli ...

  5. Eigenspinor - Wikipedia

    en.wikipedia.org/wiki/Eigenspinor

    Suppose there is a spin 1/2 particle in a state = [].To determine the probability of finding the particle in a spin up state, we simply multiply the state of the particle by the adjoint of the eigenspinor matrix representing spin up, and square the result.

  6. Generalizations of Pauli matrices - Wikipedia

    en.wikipedia.org/wiki/Generalizations_of_Pauli...

    Multi-qubit Pauli matrices can be written as products of single-qubit Paulis on disjoint qubits. Alternatively, when it is clear from context, the tensor product symbol can be omitted, i.e. unsubscripted Pauli matrices written consecutively represents tensor product rather than matrix product. For example:

  7. Concurrence (quantum computing) - Wikipedia

    en.wikipedia.org/wiki/Concurrence_(Quantum...

    Alternatively, the 's represent the square roots of the eigenvalues of the non-Hermitian matrix ~. [2] Note that each λ i {\displaystyle \lambda _{i}} is a non-negative real number. From the concurrence, the entanglement of formation can be calculated.

  8. 3D rotation group - Wikipedia

    en.wikipedia.org/wiki/3D_rotation_group

    Specifically, if we choose an orthonormal basis of , every rotation is described by an orthogonal 3 × 3 matrix (i.e., a 3 × 3 matrix with real entries which, when multiplied by its transpose, results in the identity matrix) with determinant 1.

  9. Fierz identity - Wikipedia

    en.wikipedia.org/wiki/Fierz_identity

    The Fierz identities are also sometimes called the Fierz–Pauli–Kofink identities, as Pauli and Kofink described a general mechanism for producing such identities. There is a version of the Fierz identities for Dirac spinors and there is another version for Weyl spinors. And there are versions for other dimensions besides 3+1 dimensions.