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searching for Angular momentum operator 25 found (80 total)

alternate case: angular momentum operator

Angular momentum coupling (2,234 words) [view diff] exact match in snippet view article find links to article

quantum mechanical sense) in isotropic space. In both cases the angular momentum operator commutes with the Hamiltonian of the system. By Heisenberg's uncertainty

Quantum mechanics of nuclear magnetic resonance spectroscopy (836 words) [view diff] exact match in snippet view article find links to article

Hamiltonian contains an angular momentum operator. So it will be easy if we find the eigenvalues of the angular momentum operator first and then substitute

Complete set of commuting observables (3,851 words) [view diff] exact match in snippet view article find links to article

simultaneously diagonalize all of them. Two components of the angular momentum operator L {\displaystyle \mathbf {L} } do not commute, but satisfy the

Bioctonion (474 words) [view diff] exact match in snippet view article find links to article

Koeplinger & V. Dzhunushaliev (2008) "Nonassociative decomposition of angular momentum operator using complex octonions", presentation at a meeting of the American

Orbital magnetization (1,596 words) [view diff] exact match in snippet view article find links to article

the electron, Ψ is the ground-state wave function, and L is the angular momentum operator. The total magnetic moment is m = m o r b + m s p i n {\displaystyle

Pauli equation (2,331 words) [view diff] exact match in snippet view article find links to article

} where L ^ {\textstyle \mathbf {\hat {L}} } is the particle angular momentum operator and we neglected terms in the magnetic field squared B 2 {\textstyle

Cubic harmonic (2,031 words) [view diff] exact match in snippet view article find links to article

\varphi )} are the spherical harmonics, which are solutions of the angular momentum operator. The spherical harmonics are representations of functions of the

Relativistic angular momentum (10,985 words) [view diff] exact match in snippet view article find links to article

have spin and this is an additional contribution to the orbital angular momentum operator, yielding the total angular momentum tensor operator. In any case

Coalgebra (2,899 words) [view diff] exact match in snippet view article find links to article

|A\rangle \otimes |B\rangle } . This is provided by the total angular momentum operator, which extracts the needed quantity from each side of the tensor

Molecular Hamiltonian (5,204 words) [view diff] exact match in snippet view article find links to article

{P}}_{\alpha }} is the α component of the body-fixed rigid rotor angular momentum operator, see this article for its expression in terms of Euler angles

Configuration state function (1,690 words) [view diff] exact match in snippet view article find links to article

atomic structure, a CSF is an eigenstate of the square of the angular momentum operator, L ^ 2 {\displaystyle {\hat {L}}^{2}} the z-projection of angular

Spinors in three dimensions (2,626 words) [view diff] exact match in snippet view article find links to article

-(S-1)\cdot \hbar ,...,+(S-1)\cdot \hbar ,+S\cdot \hbar } . The total angular momentum operator, J → {\displaystyle {\vec {\mathbb {J} }}} , of a particle corresponds

Introduction to the mathematics of general relativity (3,180 words) [view diff] exact match in snippet view article find links to article

Spherical tensor operators are the eigenfunctions of the quantum angular momentum operator in spherical coordinates Diffusion tensors, the basis of diffusion

Spin–orbit interaction (4,419 words) [view diff] exact match in snippet view article find links to article

ΔH. To find out what basis this is, we first define the total angular momentum operator J = L + S . {\displaystyle \mathbf {J} =\mathbf {L} +\mathbf {S}

Nilsson model (1,439 words) [view diff] exact match in snippet view article find links to article

in the spherical basis, ℓ {\displaystyle \ell } is the orbital angular momentum operator, ℓ 2 {\displaystyle \ell ^{2}} is its square (with eigenvalues

Magnetic circular dichroism (4,686 words) [view diff] exact match in snippet view article find links to article

{\displaystyle X} , L z {\displaystyle L_{z}} is the z {\displaystyle z} angular momentum operator, S z {\displaystyle S_{z}} is the z {\displaystyle z} spin operator

Photon polarization (4,988 words) [view diff] exact match in snippet view article find links to article

\left(i\alpha _{x}-is\theta \right)|s\rangle \right].} The spin angular momentum operator is l ^ z = ℏ S ^ d . {\displaystyle {\hat {l}}_{z}=\hbar {\hat

Atomic orbital (10,943 words) [view diff] exact match in snippet view article find links to article

{\displaystyle m=0} orbitals where are eigenstates of the orbital angular momentum operator, L ^ z {\displaystyle {\hat {L}}_{z}} . The columns with m = ±

Helium atom (5,941 words) [view diff] exact match in snippet view article find links to article

also rotationally invariant, the total x, y or z component of angular momentum operator also commutes with the Hamiltonian. From these commutation relations

Uncertainty principle (19,263 words) [view diff] exact match in snippet view article find links to article

uncertainty relation: For two orthogonal components of the total angular momentum operator of an object: σ J i σ J j ≥ ℏ 2 | ⟨ J k ⟩ | , {\displaystyle \sigma

Light front quantization (12,723 words) [view diff] exact match in snippet view article find links to article

the modulus k = | k → | {\displaystyle k=|{\vec {k}}|} . The angular momentum operator reads: J → = − i [ k → × ∂ k → ] {\displaystyle {\vec {J}}=-i[{\vec

Gross–Pitaevskii equation (4,516 words) [view diff] no match in snippet view article find links to article

{\hat {L}}=-i\hbar {\frac {\partial }{\partial \theta }}} is the angular-momentum operator. The solution for condensate wavefunction Ψ ( r , t ) {\displaystyle

Moment of inertia (17,179 words) [view diff] exact match in snippet view article find links to article

object. Alternatively it can also be written in terms of the angular momentum operator [ r ] x = r × x {\displaystyle [\mathbf {r} ]\mathbf {x} =\mathbf

Representation theory of the Lorentz group (19,763 words) [view diff] exact match in snippet view article find links to article

spin 0 subspaces of dimension 3 and 1 respectively. Since the angular momentum operator is given by J = A + B, the highest spin in quantum mechanics of

Multipole radiation (6,806 words) [view diff] exact match in snippet view article find links to article

\mathbf {L} =-i\mathbf {x} \times {\boldsymbol {\nabla }}} is the angular momentum operator with the property L 2 Y ℓ m = ℓ ( ℓ + 1 ) Y ℓ m {\displaystyle