quantum mechanics study of optical phase space, the displacement operator for one mode is the shift operator in quantum optics, D ^ ( α ) = exp ⁡ ( α a ^ †...

(geometry) Displacement operator in quantum optics This disambiguation page lists articles associated with the title Translation operator. If an internal...

illustrates the effects of the phase-shifting operator on coherent states. The displacement operator is a unitary operator that takes a coherent state and turns...

particular functional analysis, the shift operator, also known as the translation operator, is an operator that takes a function x ↦ f(x) to its translation...

Operator:  Icelandic Coast Guard Commissioned: 1968 Status: In active service Albatros polar fisheries patrol ship Displacement: 2,800 tons Operator:...

}+a_{q}^{\dagger }e^{-iqa\ell })} Hence, using the continuum model, the displacement operator for the 3-dimensional case is u ( r ) = ∑ q ℏ 2 M N ω q e q [ a...

the product of two displacement operators as another displacement operator (up to a phase factor), with the resultant displacement equal to the sum of...

aircraft carrier of the Vikrant-class, is planned to be of 65,000 ton displacement and to utilize the EMALS catapults developed by General Atomics, as it...

rotation, reflection or change in size Translation operator, an alternative name for the displacement operator in quantum optics Translational research Translation...

operator can also act on coherent states and produce squeezed coherent states. The squeezing operator does not commute with the displacement operator:...

with an amplitude equivalent to the displacement. These states, expressed as eigenvectors of the lowering operator and forming an overcomplete family,...

 France Displacement: 1,725 tons Operators:  Pakistan Navy : 3 in service Blekinge class Builder:  Sweden, Displacement: 1,800 tons Operators:  Swedish...

operate than a CATOBAR configuration, which requires large number of operators to launch the aircraft. The lack of any moving parts in a ski-jump makes...

Kermack-McCrae identity, the last form is equivalent to a unitary displacement operator acting on the ground state: | α ⟩ = e α a ^ † − α ∗ a ^ | 0 ⟩ =...

Builder:  Norway Displacement: 3,000 tons Operator:  Royal Norwegian Navy: 3 in commission HSwMS Trossö Command ship 2,140 tones Operator:  Swedish Navy...

d'Alembert operator (denoted by a box: ◻ {\displaystyle \Box } ), also called the d'Alembertian, wave operator, box operator or sometimes quabla operator (cf...

(Jiangnan Shipyard and Hudong Shipyard in Shanghai) Type: Patrol frigate Displacement: 1,800 tons Armament: 2–8 × C-201 or C-801 SSM; 2 × 100 mm guns; 4–8...

 Argentina Displacement: 1,790 tons (full load) Operator:  Argentine Navy: 6 in service Builders:  Netherlands Type: Corvette Displacement: 1,450 tonnes...

extensions: Automatic op:= for any operator, e.g. *:= and +:= UPTO, DOWNTO and UNTIL in loop-clauses; displacement operator (:=:=) ANDF, ORF and THEF syntactic...

of the annihilation operator a | α ⟩ = α | α ⟩ {\displaystyle a|\alpha \rangle =\alpha |\alpha \rangle } , or as a displacement from the vacuum | α ⟩...

where we have now defined the spin operator σ ^ j {\displaystyle {\hat {\sigma }}_{j}} and displacement operator A ^ k ( t ) {\displaystyle {\hat {A}}_{k}(t)}...

direction. It is a special case of the shift operator from functional analysis. More specifically, for any displacement vector x {\displaystyle \mathbf {x} }...

\left({\sqrt {\frac {S}{2}}}\left(q+ip\right)a^{\dagger }\right)} is the displacement operator and | 0 ⟩ {\textstyle \left\vert 0\right\rangle } is the photon...

{\displaystyle D(\alpha )} is the displacement operator and S ( ζ ) {\displaystyle S(\zeta )} is the squeeze operator, given by D ^ ( α ) = exp ⁡ ( α a...

{\sigma }}^{2}} . D ( x ) {\displaystyle D(\mathbf {x} )} denotes the displacement operator defined as D ( x ) ≡ exp ( x a ^ † − x ∗ a ^ ) {\displaystyle D(x)\equiv...

Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by ∇ (the nabla...

Pumps can be classified by their method of displacement into electromagnetic pumps, positive-displacement pumps, impulse pumps, velocity pumps, gravity...

constructed a phase space lattice by two commutative elementary displacement operators along position and momentum directions respectively, which is also...

notation, in the Mathematical Operators block. As a mathematical operator, it is often called del. The differential operator given in Cartesian coordinates...

29+ knots Ships in class: 1 Operator:  Marina Militare Commissioned: 2008 Status: In service Builders:  Spain Displacement: 11,486 tons Aircraft: 6 AV-8...