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searching for Position operator 27 found (63 total)

Canonical commutation relation (3,019 words) [view diff] exact match in snippet view article find links to article

{\displaystyle [{\hat {x}},{\hat {p}}_{x}]=i\hbar \mathbb {I} } between the position operator x and momentum operator px in the x direction of a point particle

Lightvessel stations of Great Britain (1,770 words) [view diff] case mismatch in snippet view article find links to article

Name Position Operator Sea Vessels employed Notes Mersey Bar 53°32′1″N 3°20′59″W Mersey Docks and Harbour Company River Mersey Alarm (from 1913 until

Helicity (particle physics) (806 words) [view diff] exact match in snippet view article

spin S. The relationship between orbital angular momentum L, the position operator r and the linear momentum (orbit part) p is L = r × p {\displaystyle

Quantum mechanics (12,086 words) [view diff] exact match in snippet view article find links to article

observables, meaning that they are represented by Hermitian operators. The position operator X ^ {\displaystyle {\hat {X}}} and momentum operator P ^ {\displaystyle

Free particle (1,943 words) [view diff] exact match in snippet view article find links to article

_{\psi (t)}X} as a function of time, where X {\displaystyle X} is the position operator. Working in one spatial dimension for simplicity, we have: ( Δ ψ (

Deepwater Horizon (film) (4,246 words) [view diff] case mismatch in snippet view article

Anderson and the other toolpushers. Andrea Fleytas, the rig's Dynamic Position Operator, tries to alert the Coast Guard, only to be overruled by her superior

Bernice Durand (694 words) [view diff] exact match in snippet view article find links to article

She earned her PhD with a dissertation titled A point and local position operator, in 1971. She was a member of Sigma Delta Epsilon. From 1992 she has

Momentum (9,797 words) [view diff] exact match in snippet view article find links to article

by the eigenvalue p, in an analogous fashion to the way that the position operator acting on a wave function ψ(x) yields that wave function multiplied

Riemann–Silberstein vector (2,015 words) [view diff] exact match in snippet view article find links to article

definitions of position and momentum uncertainties resigning from the position operator and normalizing uncertainty of r 2 {\displaystyle r^{2}} to uncertainty

Co-occurrence matrix (862 words) [view diff] exact match in snippet view article find links to article

offset, ( Δ x , Δ y ) {\displaystyle (\Delta x,\Delta y)} , is a position operator that can be applied to any pixel in the image (ignoring edge effects):

Spontaneous emission (3,201 words) [view diff] exact match in snippet view article find links to article

the elementary charge and r {\displaystyle \mathbf {r} } stands for position operator. (This approximation breaks down in the case of inner shell electrons

Ehrenfest theorem (2,833 words) [view diff] exact match in snippet view article find links to article

which does have time dependence is ⟨xt2⟩, where x is the ordinary position operator and t is just the (non-operator) time, a parameter. Bondar, D.; Cabrera

Canonical quantization (4,736 words) [view diff] exact match in snippet view article find links to article

usual wavefunction representation is given by the eigenstate of the position operator X ^ {\displaystyle {\hat {X}}} representing a particle at position

Virial theorem (7,675 words) [view diff] exact match in snippet view article find links to article

(}\{X_{i}\}{\bigr )}+\sum _{n}{\frac {P_{n}^{2}}{2m_{n}}}} with the position operator Xn and the momentum operator P n = − i ℏ d d X n {\displaystyle P_{n}=-i\hbar

De Broglie–Bohm theory (16,716 words) [view diff] exact match in snippet view article find links to article

example, measuring position is considered to be a measurement of the position operator. This relationship between physical measurements and Hilbert space

Probability current (3,442 words) [view diff] exact match in snippet view article find links to article

v ≡ − i [ X , H ] {\displaystyle v\equiv -i[X,\,H]} and X is the position operator on ℓ 2 ( Z ) . {\displaystyle \ell ^{2}\left(\mathbb {Z} \right).}

Weak measurement (3,144 words) [view diff] exact match in snippet view article find links to article

seen in the literature. Using the spectral representation of the position operator x = ∫ x ′ d x ′ | x ′ ⟩ ⟨ x ′ | {\textstyle x=\int x'dx'|x'\rangle

Fermi's golden rule (3,936 words) [view diff] exact match in snippet view article find links to article

can also rewrite the transition dipole and photocurrent in terms of position operator matrix using ⟨ i | p | f ⟩ = − i m 0 ω ⟨ i | r | f ⟩ {\displaystyle

Quantum potential (7,189 words) [view diff] exact match in snippet view article find links to article

pointed out that, while efforts have been made to determine a Hermitian position operator that would allow an interpretation of configuration space quantum

Complete set of commuting observables (3,845 words) [view diff] exact match in snippet view article find links to article

extended to more than two observables. The Cartesian components of the position operator r {\displaystyle \mathbf {r} } are x {\displaystyle x} , y {\displaystyle

Attosecond physics (6,071 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\hat {\textbf {p}}},{\hat {\textbf {r}}}} are the momentum and position operator, respectively; and E ( t ) {\displaystyle {\textbf {E}}(t)} is the

Orbital motion (quantum) (2,641 words) [view diff] exact match in snippet view article

angular momentum operator is defined as the cross product of the position operator and the momentum operator, which is defined as p ^ = − i ℏ ∇ {\displaystyle

Mutually unbiased bases (4,229 words) [view diff] exact match in snippet view article find links to article

any eigenstate of the linear combination and any eigenstate of the position operator (both states normalized to the Dirac delta) is constant, but dependent

Cavity optomechanics (7,344 words) [view diff] exact match in snippet view article find links to article

\Delta =\omega _{L}-\omega _{\text{cav}}} the laser detuning and the position operator x = x zpf ( b + b † ) {\displaystyle x=x_{\text{zpf}}(b+b^{\dagger

Oscillator representation (21,527 words) [view diff] no match in snippet view article find links to article

terminology of quantum mechanics, the "momentum" operator P and "position" operator Q are defined on S {\displaystyle {\mathcal {S}}} by P f ( x ) = i

Diósi–Penrose model (3,105 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mu _{R_{0}}(\mathbf {x} )} respectively the mass, the position operator and the mass density function of the j {\displaystyle j} -th particle

Lamb Dicke regime (1,242 words) [view diff] exact match in snippet view article find links to article

oscillator eigenstates | n ⟩ {\displaystyle |n\rangle } . In this case the position operator z ^ {\displaystyle {\hat {z}}} is given by z ^ = z 0 ( a ^ + a ^ †