Similarities between Pauli matrices and Spin (physics)
Pauli matrices and Spin (physics) have 26 things in common (in Unionpedia): Angular momentum, Angular momentum operator, Dirac equation, Eigenvalues and eigenvectors, Electromagnetic field, Fundamental representation, Gamma matrices, Hermitian matrix, Kronecker product, Levi-Civita symbol, Observable, Pauli equation, Pauli group, Projective representation, Quantum mechanics, Quantum state, Relativistic quantum mechanics, Representation theory of SU(2), Rotation group SO(3), Special unitary group, Spin (physics), Spin-½, Tensor, Theory of relativity, Wave function, Wolfgang Pauli.
Angular momentum
In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum.
Angular momentum and Pauli matrices · Angular momentum and Spin (physics) ·
Angular momentum operator
In quantum mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum.
Angular momentum operator and Pauli matrices · Angular momentum operator and Spin (physics) ·
Dirac equation
In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928.
Dirac equation and Pauli matrices · Dirac equation and Spin (physics) ·
Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
Eigenvalues and eigenvectors and Pauli matrices · Eigenvalues and eigenvectors and Spin (physics) ·
Electromagnetic field
An electromagnetic field (also EMF or EM field) is a physical field produced by electrically charged objects.
Electromagnetic field and Pauli matrices · Electromagnetic field and Spin (physics) ·
Fundamental representation
In representation theory of Lie groups and Lie algebras, a fundamental representation is an irreducible finite-dimensional representation of a semisimple Lie group or Lie algebra whose highest weight is a fundamental weight.
Fundamental representation and Pauli matrices · Fundamental representation and Spin (physics) ·
Gamma matrices
In mathematical physics, the gamma matrices, \, also known as the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra Cℓ1,3(R).
Gamma matrices and Pauli matrices · Gamma matrices and Spin (physics) ·
Hermitian matrix
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the -th row and -th column is equal to the complex conjugate of the element in the -th row and -th column, for all indices and: Hermitian matrices can be understood as the complex extension of real symmetric matrices.
Hermitian matrix and Pauli matrices · Hermitian matrix and Spin (physics) ·
Kronecker product
In mathematics, the Kronecker product, denoted by ⊗, is an operation on two matrices of arbitrary size resulting in a block matrix.
Kronecker product and Pauli matrices · Kronecker product and Spin (physics) ·
Levi-Civita symbol
In mathematics, particularly in linear algebra, tensor analysis, and differential geometry, the Levi-Civita symbol represents a collection of numbers; defined from the sign of a permutation of the natural numbers, for some positive integer.
Levi-Civita symbol and Pauli matrices · Levi-Civita symbol and Spin (physics) ·
Observable
In physics, an observable is a dynamic variable that can be measured.
Observable and Pauli matrices · Observable and Spin (physics) ·
Pauli equation
In quantum mechanics, the Pauli equation or Schrödinger–Pauli equation is the formulation of the Schrödinger equation for spin-½ particles, which takes into account the interaction of the particle's spin with an external electromagnetic field.
Pauli equation and Pauli matrices · Pauli equation and Spin (physics) ·
Pauli group
In physics and mathematics, the Pauli group G_1 on 1 qubit is the 16-element matrix group consisting of the 2 × 2 identity matrix I and all of the Pauli matrices \begin 0&1\\ 1&0 \end,\quad Y.
Pauli group and Pauli matrices · Pauli group and Spin (physics) ·
Projective representation
In the field of representation theory in mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear group where GL(V) is the general linear group of invertible linear transformations of V over F, and F∗ is the normal subgroup consisting of nonzero scalar multiples of the identity; scalar transformations). In more concrete terms, a projective representation is a collection of operators \rho(g),\, g\in G, where it is understood that each \rho(g) is only defined up to multiplication by a constant. These should satisfy the homomorphism property up to a constant: for some constants c(g,h). Since each \rho(g) is only defined up to a constant anyway, it does not strictly speaking make sense to ask whether the constants c(g,h) are equal to 1. Nevertheless, one can ask whether it is possible to choose a particular representative of each family \rho(g) of operators in such a way that the \rho(g)'s satisfy the homomorphism property on the nose, not just up to a constant. If such a choice is possible, we say that \rho can be "de-projectivized," or that \rho can be "lifted to an ordinary representation." This possibility is discussed further below.
Pauli matrices and Projective representation · Projective representation and Spin (physics) ·
Quantum mechanics
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
Pauli matrices and Quantum mechanics · Quantum mechanics and Spin (physics) ·
Quantum state
In quantum physics, quantum state refers to the state of an isolated quantum system.
Pauli matrices and Quantum state · Quantum state and Spin (physics) ·
Relativistic quantum mechanics
In physics, relativistic quantum mechanics (RQM) is any Poincaré covariant formulation of quantum mechanics (QM).
Pauli matrices and Relativistic quantum mechanics · Relativistic quantum mechanics and Spin (physics) ·
Representation theory of SU(2)
In the study of the representation theory of Lie groups, the study of representations of SU(2) is fundamental to the study of representations of semisimple Lie groups.
Pauli matrices and Representation theory of SU(2) · Representation theory of SU(2) and Spin (physics) ·
Rotation group SO(3)
In mechanics and geometry, the 3D rotation group, often denoted SO(3), is the group of all rotations about the origin of three-dimensional Euclidean space R3 under the operation of composition.
Pauli matrices and Rotation group SO(3) · Rotation group SO(3) and Spin (physics) ·
Special unitary group
In mathematics, the special unitary group of degree, denoted, is the Lie group of unitary matrices with determinant 1.
Pauli matrices and Special unitary group · Special unitary group and Spin (physics) ·
Spin (physics)
In quantum mechanics and particle physics, spin is an intrinsic form of angular momentum carried by elementary particles, composite particles (hadrons), and atomic nuclei.
Pauli matrices and Spin (physics) · Spin (physics) and Spin (physics) ·
Spin-½
In quantum mechanics, spin is an intrinsic property of all elementary particles.
Pauli matrices and Spin-½ · Spin (physics) and Spin-½ ·
Tensor
In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.
Pauli matrices and Tensor · Spin (physics) and Tensor ·
Theory of relativity
The theory of relativity usually encompasses two interrelated theories by Albert Einstein: special relativity and general relativity.
Pauli matrices and Theory of relativity · Spin (physics) and Theory of relativity ·
Wave function
A wave function in quantum physics is a mathematical description of the quantum state of an isolated quantum system.
Pauli matrices and Wave function · Spin (physics) and Wave function ·
Wolfgang Pauli
Wolfgang Ernst Pauli (25 April 1900 – 15 December 1958) was an Austrian-born Swiss and American theoretical physicist and one of the pioneers of quantum physics.
Pauli matrices and Wolfgang Pauli · Spin (physics) and Wolfgang Pauli ·
The list above answers the following questions
- What Pauli matrices and Spin (physics) have in common
- What are the similarities between Pauli matrices and Spin (physics)
Pauli matrices and Spin (physics) Comparison
Pauli matrices has 90 relations, while Spin (physics) has 200. As they have in common 26, the Jaccard index is 8.97% = 26 / (90 + 200).
References
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