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searching for Position operator 29 found (62 total)

Canonical commutation relation (2,998 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

Helicity (particle physics) (801 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

Lightvessel stations of Great Britain (2,244 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

Quantum mechanics (12,063 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 (1,888 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 (

Ghirardi–Rimini–Weber theory (3,177 words) [view diff] exact match in snippet view article find links to article

{q}}_{i}-x)^{2}}{2r_{C}^{2}}}}} , where q ^ i {\displaystyle {\hat {q}}_{i}} is the position operator of the i {\displaystyle i} -th particle, and r C {\displaystyle r_{C}}

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

Bra–ket notation (6,393 words) [view diff] exact match in snippet view article find links to article

all points in position space. This label is the eigenvalue of the position operator acting on such a basis state, r ^ | r ⟩ = r | r ⟩ {\displaystyle {\hat

Momentum (9,778 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

Deepwater Horizon (film) (4,250 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

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 (2,654 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

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

Ehrenfest theorem (2,829 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 (4,741 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

Probability current (3,021 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 (2,902 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

Virial theorem (7,565 words) [view diff] exact match in snippet view article find links to article

H=V{\bigl (}\{X_{i}\}{\bigr )}+\sum _{n}{\frac {P_{n}^{2}}{2m}}} 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 (16,579 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

Fermi's golden rule (3,906 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 (7,744 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 (3,841 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 (6,033 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) (2,639 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 (4,233 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 (7,291 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 (21,523 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 (3,060 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 (1,243 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 ^ †