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throw std::out_of_range("Vector::operator[]"); return elem[n]; } Vector(const Vector&) = delete; // rule of three Vector& operator=(const Vector&) = delete;Tensor operator (9,012 words) [view diff] exact match in snippet view article find links to article
vector, and these two quantities must be represented by a scalar and a vector operator, respectively. By the latter in particular, we mean an operator whoseOperator (mathematics) (1,857 words) [view diff] exact match in snippet view article
(with operator symbol ∇ ⋅ {\displaystyle {\nabla \cdot }} ) is a vector operator that measures a vector field's divergence from or convergence towardsWigner–Eckart theorem (2,705 words) [view diff] exact match in snippet view article find links to article
operators behave in a subspace. Within a given subspace, a component of a vector operator will behave in a way proportional to the same component of the angularCCGS Vector (431 words) [view diff] case mismatch in snippet view article find links to article
CCGS Vector entering Vancouver's harbour History Canada Name Vector Operator Canadian Coast Guard Port of registry Ottawa, Ontario Builder Yarrows LtdLandé g-factor (1,481 words) [view diff] exact match in snippet view article find links to article
total magnetic moment μ → J {\displaystyle {\vec {\mu }}_{J}} , as a vector operator, does not lie on the direction of total angular momentum J → = L →Angular momentum operator (6,691 words) [view diff] exact match in snippet view article find links to article
the orbital angular momentum operator. L (just like p and r) is a vector operator (a vector whose components are operators), i.e. L = ( L x , L y , LA Dynamical Theory of the Electromagnetic Field (2,319 words) [view diff] exact match in snippet view article find links to article
what is now called the resistivity). ∇ {\displaystyle \nabla } is the vector operator del. Clarifications Maxwell did not consider completely general materials;Gradient (5,701 words) [view diff] exact match in snippet view article find links to article
fields. Curl – Circulation density in a vector field Divergence – Vector operator in vector calculus Four-gradient – Four-vector analogue of the gradientDirectional derivative (4,812 words) [view diff] exact match in snippet view article find links to article
} ))=\exp(-i\mathbf {\theta } \cdot \mathbf {L} ).} Here L is the vector operator that generates SO(3): L = ( 0 0 0 0 0 1 0 − 1 0 ) i + ( 0 0 − 1 0 0Schrödinger equation (10,263 words) [view diff] no match in snippet view article find links to article
presented using quantities varying as functions of position, but as a vector-operator equation it has a valid representation in any arbitrary complete basisLevi-Civita symbol (5,174 words) [view diff] exact match in snippet view article find links to article
product expression above, substituting components of the gradient vector operator (nabla). In any arbitrary curvilinear coordinate system and even inChiral anomaly (3,271 words) [view diff] exact match in snippet view article find links to article
current non-conservation is proportional to the total derivative of a vector operator, G μ ν a G ~ μ ν a = ∂ μ K μ {\displaystyle G^{\mu \nu a}{\tilde {G}}_{\muTranslation operator (quantum mechanics) (6,344 words) [view diff] exact match in snippet view article
explicitly, p ^ {\displaystyle \mathbf {\hat {p}} } is a vector operator (i.e. a vector operator consisting of three operators ( p ^ x , p ^ y , p ^ z )Hydrogen-like atom (5,292 words) [view diff] exact match in snippet view article find links to article
Each atomic orbital is associated with an angular momentum L. It is a vector operator, and the eigenvalues of its square L2 ≡ Lx2 + Ly2 + Lz2 are given by:Circulator (4,065 words) [view diff] exact match in snippet view article find links to article
ferrite. This permeability is mathematically described by a linear vector operator, also known as a tensor. In the case of magnetized ferrite, the permeabilityClebsch–Gordan coefficients (6,148 words) [view diff] exact match in snippet view article find links to article
εklm is the Levi-Civita symbol. Together the three operators define a vector operator, a rank one Cartesian tensor operator, j = ( j x , j y , j z ) . {\displaystyleSpherical harmonics (12,437 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \mathbf {r} } is replaced by the quantum mechanical spin vector operator J {\displaystyle \mathbf {J} } , such that Y ℓ m ( J ) {\displaystyleWigner D-matrix (4,717 words) [view diff] exact match in snippet view article find links to article
In quantum mechanics, these three operators are the components of a vector operator known as angular momentum. Examples are the angular momentum of anMultivariate kernel density estimation (4,242 words) [view diff] exact match in snippet view article find links to article
matrix of integrated fourth order partial derivatives of ƒ vec is the vector operator which stacks the columns of a matrix into a single vector e.g. vecMolecular Hamiltonian (5,204 words) [view diff] exact match in snippet view article find links to article
∇ {\displaystyle {\boldsymbol {\nabla }}} is the nabla operator, a vector operator consisting of first derivatives. The well-known commutation relationsRepresentation theory of the Lorentz group (19,748 words) [view diff] exact match in snippet view article find links to article
[J_{i},K_{j}]=i\epsilon _{ijk}K_{k},} the triple (K1, K2, K3) ≡ K is a vector operator and the Wigner–Eckart theorem applies for computation of matrix elementsHarmonic tensors (5,495 words) [view diff] exact match in snippet view article find links to article
Straightforward differentiation on the left-hand side of the equation yields a vector operator acting on a harmonic tensor: D ^ i M k . . . m ( l ) ( r ) = M i k