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Operator in quantum mechanics
mechanics, the position operator is the operator that corresponds to the position observable of a particle. When the position operator is considered with
Position_operator
Operator in quantum mechanics
mechanics, the momentum operator is the operator associated with the linear momentum. The momentum operator is, in the position representation, an example
Momentum_operator
Telephone operator workstation developed by AT&T
The Operator Services Position System (OSPS) is a telephone operator workstation developed by AT&T as part of the 5ESS switch platform. It provides call‑processing
Operator Services Position System
Operator_Services_Position_System
Operator shifting particles and fields by a certain amount in a certain direction
In quantum mechanics, a translation operator is defined as an operator which shifts particles and fields by a certain amount in a certain direction. It
Translation operator (quantum mechanics)
Translation_operator_(quantum_mechanics)
Theorem used in quantum mechanics for angular momentum calculations
statement is true for the position operator: when the system is rotated, the three different components of the position operator are effectively interchanged
Wigner–Eckart_theorem
Particle effect
x_{k}\right]=c\alpha _{k}} . where xk(t) is the position operator at time t. The above equation shows that the operator α k {\displaystyle \alpha _{k}} can be
Zitterbewegung
Generalized function whose value is zero everywhere except at zero
position operator are called the eigenkets and are denoted by φy = |y⟩. Similar considerations apply to any other (unbounded) self-adjoint operator with
Dirac_delta_function
Call assistance services
Operator assistance refers to service provided by a telephone operator to the calling party of a telephone call. This included telephone calls made from
Operator_assistance
Quantum mechanical operator related to rotational symmetry
angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role
Angular_momentum_operator
American satellite-based radio navigation service
The Global Positioning System (GPS) is a satellite-based hyperbolic navigation system owned by the United States Space Force and operated by Mission Delta
Global_Positioning_System
Property of a mass in motion
into quantum mechanics, where it becomes an operator on a wave function. The momentum and position operators are related by the Heisenberg uncertainty principle
Momentum
Relation satisfied by conjugate variables in quantum mechanics
{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 in one dimension
Canonical commutation relation
Canonical_commutation_relation
Expected value of a quantum measurement
possible for an operator to have a non-discrete spectrum, such as the position operator X {\displaystyle X} in quantum mechanics. This operator has a completely
Expectation value (quantum mechanics)
Expectation_value_(quantum_mechanics)
Physical spaces representing position and momentum, Fourier-transform duals
}\mathrm {d} ^{3}\mathbf {r} .} The position and momentum operators are unitarily equivalent, with the unitary operator being given explicitly by the Fourier
Position_and_momentum_spaces
Scheme for obtaining the position operator
field theory, Newton–Wigner localization is a scheme for obtaining a position operator for massive relativistic quantum particles. It is named after Theodore
Newton–Wigner_localization
Physical quantity
has to take into account the position operator and its tensorial square. For a system of n electrons, the position operator and its Cartesian components
Total_position_spread
Quantum operator for the sum of energies of a system
In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential
Hamiltonian (quantum mechanics)
Hamiltonian_(quantum_mechanics)
1984 single by Sade
"Smooth Operator" is a song by English band Sade from their debut studio album, Diamond Life (1984); it was co-written by Sade Adu and Ray St. John and
Smooth_Operator
Tensor operator generalizes the notion of operators which are scalars and vectors
a tensor operator generalizes the notion of operators which are scalars and vectors. A special class of these are spherical tensor operators which apply
Tensor_operator
Mathematical tool in quantum physics
In quantum mechanics, a density matrix (or density operator) is a matrix used in calculating the probabilities of the outcomes of measurements performed
Density_matrix
Type of electric dipole moment
electric dipole moment: The sum of the positions, weighted by charge. If the ith particle has charge qi and position operator ri, then the transition dipole moment
Transition_dipole_moment
Mathematical entity to describe the probability of each possible measurement on a system
operator with corresponding eigenvalue(s) E {\displaystyle E} ; the energy of the system. An example of the continuous case is given by the position operator
Quantum_state
Description of physical properties at the atomic and subatomic scale
represented by Hermitian operators. The position operator X ^ {\displaystyle {\hat {X}}} and momentum operator P ^ {\displaystyle {\hat {P}}} do not commute
Quantum_mechanics
Physical constant in quantum mechanics
the commutator relationship between the position operator x ^ {\displaystyle {\hat {x}}} and the momentum operator p ^ {\displaystyle {\hat {p}}} : [ p ^
Planck_constant
Automatic ship station- and heading-holding systems
the failure of one does not result in a loss of position. This is left to the judgment of the DP operator. For Classes 2 and 3, a Consequence Analysis should
Dynamic_positioning
Notation for quantum states
Dirac notation is a mathematical notation for linear algebra and linear operators on complex vector spaces together with their dual spaces both in the finite-
Bra–ket_notation
Operators useful in quantum mechanics
Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study
Creation and annihilation operators
Creation_and_annihilation_operators
Quantum mechanical operator interchanging particle states as arguments to a function
Fock space. The exchange operator acts by switching the labels on any two identical particles described by the joint position quantum state | x 1 , x 2
Exchange_operator
Topics referred to by the same term
cord system telephone operators use Traffic Service Position System, the modern successor to the telephone switchboard Operator assistance, the various
Telephone_operator
Function acting on the space of physical states in physics
An operator is a function over a space of physical states onto another space of states. The simplest example of the utility of operators is the study
Operator_(physics)
Symmetry of spatially mirrored systems
{X}}|\psi \rangle =0} where X ^ {\displaystyle {\hat {X}}} is the position operator. For a state | L → , L z ⟩ {\displaystyle {\bigl |}{\vec {L}},L_{z}{\bigr
Parity_(physics)
Quantum mechanical model
{\hat {x}}} is the position operator (given by x in the coordinate basis), and p ^ {\displaystyle {\hat {p}}} is the momentum operator (given by p ^ = −
Quantum_harmonic_oscillator
Objective collapse theory in quantum mechanics
state after the operator L ^ x i {\displaystyle {\hat {L}}_{x}^{i}} has localized the i {\displaystyle i} -th particle around the position x {\displaystyle
Ghirardi–Rimini–Weber_theory
Linear operator equal to its own adjoint
which physical observables such as position, momentum, angular momentum and spin are represented by self-adjoint operators on a Hilbert space. Of particular
Self-adjoint_operator
1985 single by Eddy Raven
"Operator, Operator" (also titled "Heart on the Line (Operator, Operator)") is a country music song co-written and recorded by Larry Willoughby, a cousin
Operator,_Operator
Computerized telephone switchboard
tone which alerts TSPS operator of a new call. 440 Hz 5 ms. Problems playing this file? See media help. The Traffic Service Position System (TSPS) was developed
Traffic Service Position System
Traffic_Service_Position_System
Process in quantum mechanical theories
is given by the eigenstate of the position operator X ^ {\displaystyle {\hat {X}}} representing a particle at position x {\displaystyle x} , which is denoted
Canonical_quantization
Person who oversees the running of computer systems
A computer operator is a role in IT which oversees the running of computer systems, ensuring that the machines, and computers are running properly. The
Computer_operator
Position assumed to increase safety in a crash
To assume a brace position or crash position is an instruction that can be given to prepare for a crash, such as on an aircraft; the instruction to "Brace
Brace_position
Former telephony occupation
complete the call. Being in complete control of the call, the operator was in a position to listen to private conversations. Automatic, or dial, systems
Switchboard_operator
Projection of spin along the direction of momentum
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
Helicity_(particle_physics)
Theorem in quantum mechanics
relates the time derivative of the expectation values of the position and momentum operators x and p to the expectation value of the force F = − V ′ ( x
Ehrenfest_theorem
Conserved physical quantity; rotational analogue of linear momentum
quantum position operator and p as the quantum momentum operator. L is then an operator, specifically called the orbital angular momentum operator. The components
Angular_momentum
Tanker aircrew responsible for aerial refueling
boom operator lies in a prone position while refueling. The boom pod in a USAF KC-10. The boom operator is seated while refueling. A boom operator in a
Boom_operator_(military)
Unary operators that add or subtract one from their operand, respectively
Increment and decrement operators are unary operators that increase or decrease their operand by one. They are commonly found in imperative programming
Increment and decrement operators
Increment_and_decrement_operators
1982 video game
Pole Position is a 1982 racing video game developed and published by Namco for arcades. It was released by Atari, Inc. in North America. It was developed
Pole_Position
Construction in functional analysis, useful to solve differential equations
The spectrum of a linear operator T {\displaystyle T} that operates on a Banach space X {\displaystyle X} is a fundamental concept of functional analysis
Decomposition of spectrum (functional analysis)
Decomposition_of_spectrum_(functional_analysis)
Computer science topic
identical for signed integer, there is no "<<<" operator in Java. More details of Java shift operators: The operators << (left shift), >> (signed right shift)
Bitwise_operation
Analog of the continuous Laplace operator
In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete
Discrete_Laplace_operator
of operator position, an operator may be prefix, postfix, or infix. A prefix operator immediately precedes its operand, as in −x. A postfix operator immediately
Common_operator_notation
Mathematical theorem
uniqueness of the canonical commutation relations between position and momentum operators. It is named after Marshall Stone and John von Neumann. In
Stone–von_Neumann_theorem
Spectroscopic selection rule
\cdot \int \psi _{e}^{*}\mathbf {r} \psi _{g}\;d^{3}\mathbf {r} } The position operator is odd under parity. If both ψ e {\displaystyle \psi _{e}} and ψ g
Laporte_rule
Hypothesis in Quantum Physics
oscillator eigenstates | n ⟩ {\displaystyle |n\rangle } . In this case the position operator z ^ {\displaystyle {\hat {z}}} is given by z ^ = z 0 ( a ^ + a ^ †
Lamb_Dicke_regime
distress signal was transmitted by the East Goodwin lightvessel's radio operator on 17 March 1899, after the merchant vessel Elbe ran aground on the Goodwins
Lightvessel stations of Great Britain
Lightvessel_stations_of_Great_Britain
RMS Titanic wireless operator (1887–1912)
was a British wireless telegraphist, who served as the chief wireless operator aboard RMS Titanic during her ill-fated maiden voyage in April 1912. Before
Jack Phillips (wireless operator)
Jack_Phillips_(wireless_operator)
Performing order of mathematical operations
Common operator notation (for a more formal description) Hyperoperation Logical connective#Order of precedence Operator associativity Operator overloading
Order_of_operations
Angular momentum deriving from photon spin
decomposition is well-defined for massive particles using the Newton–Wigner position operator and related constructions, analogous definitions for massless particles
Spin angular momentum of light
Spin_angular_momentum_of_light
Measurement of a quantum system which minimally disturbs it
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
Weak_measurement
Discrete differentiation operator used in image processing
Prewitt operator is used in image processing, particularly within edge detection algorithms. Technically, it is a discrete differentiation operator, computing
Prewitt_operator
Value for the flow of probability in quantum mechanics
position basis (i.e. for a wavefunction in position space), but momentum space is possible. In fact, one can write the probability current operator as
Probability_current
Type of vector space in math
Hilbert-space formulation of quantum mechanics. On L2(R), the position operator is the multiplication operator ( Q f ) ( x ) = x f ( x ) , {\displaystyle (Qf)(x)=xf(x)
Hilbert_space
Quantum physics terminology
{\displaystyle H:=L^{2}(\mathbb {R} )} and let T {\displaystyle T} be the position operator. Given compactly supported ρ = ρ ( 0 ) ∈ H {\displaystyle \rho =\rho
Bound_state
especially operator theory, subnormal operators are bounded operators on a Hilbert space defined by weakening the requirements for normal operators. Some examples
Subnormal_operator
Person specifically employed to operate a manually operated elevator
An elevator operator (North American English), liftman (in Commonwealth English, usually lift attendant), or lift girl (in British English), is a person
Elevator_operator
Concept in quantum information theory
any eigenstate of the linear combination and any eigenstate of the position operator (both states normalized to the Dirac delta) is constant, but dependent
Mutually_unbiased_bases
Complex number whose squared absolute value is a probability
L2(X) (see normalization condition below). A typical example is the position operator x ^ {\displaystyle {\hat {\mathrm {x} }}} defined as ⟨ x | x ^ | Ψ
Probability_amplitude
Quantum mechanical state change
the elementary charge and r {\displaystyle \mathbf {r} } stands for position operator. (This approximation breaks down in the case of inner shell electrons
Spontaneous_emission
Transition rate formula
mass of an electron, and p {\displaystyle {\textbf {p}}} is the momentum operator. Here we consider process involving one photon and first order in A {\displaystyle
Fermi's_golden_rule
Theorem relating unitary operators to one-parameter Lie groups
and shows that these are all unitarily equivalent to the position operator and momentum operator on L 2 ( R ) . {\displaystyle L^{2}(\mathbb {R} ).} The
Stone's theorem on one-parameter unitary groups
Stone's_theorem_on_one-parameter_unitary_groups
Quantity in quantum mechanics
the operator in this expression. Weak values arise in small perturbations of quantum measurements. Representing a small perturbation with the operator exp
Weak_value
Foundational principle in quantum physics
oscillator. It is possible to express the position and momentum operators in terms of the creation and annihilation operators: x ^ = ℏ 2 m ω ( a + a † ) {\displaystyle
Uncertainty_principle
Aspect of mathematical spectrum theory
the essential spectrum of a bounded operator (or, more generally, of a densely defined closed linear operator) is a certain subset of its spectrum,
Essential_spectrum
Quantum mechanical equation of motion of charged particles in magnetic field
{\hat {r}} } , where r {\textstyle \mathbf {r} } is the position operator and A is now an operator. We obtain ( p ^ − q A ^ ) 2 = | p ^ | 2 − q ( r ^ × p
Pauli_equation
Interaction of a quantum system with a classical observer
{\displaystyle {H}} , the momentum operator p {\displaystyle {p}} and the position operator x {\displaystyle {x}} are self-adjoint operators on the Hilbert space of
Measurement in quantum mechanics
Measurement_in_quantum_mechanics
Approach to texture analysis
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):
Co-occurrence_matrix
apparatus. If the position operator of the particle is q {\displaystyle q} and its momentum operator is p {\displaystyle p} , and if the position and momentum
Wigner–Araki–Yanase_theorem
Dutch company specializing in voyages to Antarctica and the Arctic
settlement of Smeerenburg. In 1983, the Plancius Foundation was the first operator to organize yearly polar expedition cruises to the Arctic archipelago of
Oceanwide_Expeditions
Concept in quantum mechanics
set of commuting operators whose common eigenvectors can be used as a basis to express any quantum state. In the case of operators with discrete spectra
Complete set of commuting observables
Complete_set_of_commuting_observables
Physical quantity carried in photons
decomposition is well-defined for massive particles using the Newton–Wigner position operator and related constructions, analogous definitions for massless particles
Angular_momentum_of_light
Quantum mechanical property
replaced by operators; the angular momentum operator is defined as the cross product of the position operator and the momentum operator, which is defined
Orbital_motion_(quantum)
Complex vector of electromagnetic fields
using slightly different definitions of position and momentum uncertainties resigning from the position operator and normalizing uncertainty of r 2 {\displaystyle
Riemann–Silberstein_vector
Operator on a Hilbert space that shifts basis vectors
In operator theory, the unilateral shift is a one-sided shift operator, that is, a shift operator acting on one-sided sequences or shift spaces. The term
Unilateral_shift_operator
Particle that is not bound by an external force
_{\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 (
Free_particle
Technician that operates spotlights
The spotlight operator or followspot operator is a theatrical technician who operates a specialized stage lighting instrument known as a followspot. A
Spotlight_operator
Formulation of the quantum many-body problem
thought of as field operators, in a manner similar to how the physical quantities (position, momentum, etc.) are thought of as operators in first quantization
Second_quantization
Short-hand for user with administrative permissions on a multi-user system
A sysop (/ˈsɪs.ɒp/, SIS-op; an abbreviation of system operator, and sometimes further abbreviated to just op) is an administrator of a multi-user computer
Sysop
Quantum operator
operator, as it appears in quantum mechanics. With every physical rotation R {\displaystyle R} , we postulate a quantum mechanical rotation operator D
Rotation operator (quantum mechanics)
Rotation_operator_(quantum_mechanics)
Computer control of machine tools
select] [M53 Retract Spindle] (raises tool spindle above current position to allow operator to do whatever they would need to do) [M68 Hydraulic chuck close]
Computer_numerical_control
Czechoslovak diesel locomotive
locomotive is a hood unit type with an internal, eccentrically positioned operator's cab. Located underneath the front hood is the traction assembly
ČKD_T-669_diesel_locomotive
on à la carte basis to DTH operators. Additionally, they may also offer bouquets, but they will not compel any DTH operator to include the entire bouquet
Direct-to-home television in India
Direct-to-home_television_in_India
Designation of positions within a crystallographic space group
the Wyckoff positions for different space groups. Atoms in a unit cell can be described by just their wyckoff position and symmetry operators of the space
Wyckoff_positions
Radio transmitter to locate people in distress
examples include SPOT and inReach. APRS is used by amateur radio operators to track positions and send short messages. Most APRS packets contain a GPS latitude
Emergency position-indicating radio beacon
Emergency_position-indicating_radio_beacon
Operator in quantum mechanics
In quantum mechanics, energy is defined in terms of the energy operator, acting on the wave function of the system as a consequence of time translation
Energy_operator
American particle physicist (1942–2022)
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
Bernice_Durand
Study of quantum systems changing with time
they are represented by operators (q-numbers) which, crucially, do not necessarily commute. For instance, the position operator X ^ {\displaystyle {\hat
Quantum_dynamics
Description of a quantum-mechanical system
quantities of interest – position, momentum, energy, spin – are represented by observables, which are self-adjoint operators acting on the Hilbert space
Schrödinger_equation
Offshore ocean structure with oil drilling and related facilities
PSTL or operations coordinator for managing crew changes; Dynamic positioning operator, navigation, ship or vessel maneuvering (MODU), station keeping,
Oil_platform
Pictorial computational technique in quantum chemistry
equals the inverse operator T−1, that is T† = T−1. Its action on the position operator leaves it invariant: T x ^ T † = x ^ {\displaystyle T{\hat {\mathbf
Angular momentum diagrams (quantum mechanics)
Angular_momentum_diagrams_(quantum_mechanics)
Profession for microphone pole placement
A boom operator (or First Assistant Sound) is a core role in the sound department of a film production, who works with the production sound mixer and utility
Boom_operator_(media)
US license required for operation or repair of certain radio equipment
The general radiotelephone operator license, (GROL) is a license granted by the U.S. Federal Communications Commission (FCC) that is required to operate
General radiotelephone operator license
General_radiotelephone_operator_license
POSITION OPERATOR
POSITION OPERATOR
Boy/Male
Hindu
Portion
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Portion
Girl/Female
Arabic, Muslim
Higher Position; Esteemed Privileged; Honour
Girl/Female
Hindu, Indian
Portion
Boy/Male
Tamil
Portion
Girl/Female
Tamil
Position
Boy/Male
Hindu, Indian
Positive
Girl/Female
Hindu
Position
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Opposition
Boy/Male
Tamil
Portion
Girl/Female
Hindu, Indian
Portion
Boy/Male
Arabic
Stand Position
Girl/Female
Muslim
Higher position, Esteemed privilege & honor
Boy/Male
Indian
Portion
Surname or Lastname
English
English : topographic name for someone who lived by a postern gate, from Old French posterne; in some cases it would have been a metonymic occupational name for a gatekeeper.English : habitational name from Poston in Herefordshire or Poston in Shropshire, which is named with an Old English personal name Possa + þorn ‘thorn tree’.
Girl/Female
Indian
Higher position, Esteemed privilege & honor
Girl/Female
Indian, Sanskrit, Telugu
Always at High Position
Boy/Male
Tamil
Virudh | விரà¯à®¤à¯à®¤
Opposition
Virudh | விரà¯à®¤à¯à®¤
Girl/Female
Tamil
Portion
Boy/Male
Tamil
Portion
POSITION OPERATOR
POSITION OPERATOR
Girl/Female
Polish
Gift of God.
Male
Native American
Native American Pawnee name SHIRIKI means "coyote."
Female
Egyptian
, a goddess of the Khita.
Boy/Male
Hindu
Male
Italian
Italian and Spanish form of Latin Prosperus, PROSPERO means "fortunate, successful." Shakespeare used this name in his play "The Tempest."
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
A Tributary of Ganga River Located in North India
Girl/Female
Indian
Whiteness, Martyr in the cause of Islam
Boy/Male
Hebrew
Dear.
Girl/Female
Muslim
Guest, Helper, Assistant, Shining, Luminous
Boy/Male
Indian, Sanskrit
Free from Anger
POSITION OPERATOR
POSITION OPERATOR
POSITION OPERATOR
POSITION OPERATOR
POSITION OPERATOR
n.
The spot where a person or thing is placed or takes a place; site; place; station; situation; as, the position of man in creation; the fleet changed its position.
a.
Electro-positive.
a.
Corresponding with the original in respect to the position of lights and shades, instead of having the lights and shades reversed; as, a positive picture.
v. t.
To endow with a portion or inheritance.
a.
Of or pertaining to position.
n.
A picture in which the lights and shades correspond in position with those of the original, instead of being reversed, as in a negative.
n.
Situation or position with reference to direction of view or accessibility to influence of sun, wind, etc.; exposure; as, an easterly exposition; an exposition to the sun.
n.
The positive plate of a voltaic or electrolytic cell.
n.
The positive degree or form.
v. i.
To make a petition or solicitation.
a.
Hence: Not admitting of any doubt, condition, qualification, or discretion; not dependent on circumstances or probabilities; not speculative; compelling assent or obedience; peremptory; indisputable; decisive; as, positive instructions; positive truth; positive proof.
n.
The situation of a heavenly body with respect to another when in the part of the heavens directly opposite to it; especially, the position of a planet or satellite when its longitude differs from that of the sun 180¡; -- signified by the symbol /; as, / / /, opposition of Jupiter to the sun.
a.
Having the power of direct action or influence; as, a positive voice in legislation.
v. t.
To indicate the position of; to place.
a.
Having a real position, existence, or energy; existing in fact; real; actual; -- opposed to negative.
a.
Definitely laid down; explicitly stated; clearly expressed; -- opposed to implied; as, a positive declaration or promise.
n.
Adverse action of will; unwillingness; -- opposed to volition.
n.
Relative place or standing; social or official rank; as, a person of position; hence, office; post; as, to lose one's position.
n.
The state of being posited, or placed; the manner in which anything is placed; attitude; condition; as, a firm, an inclined, or an upright position.
n.
Hence: The ground which any one takes in an argument or controversy; the point of view from which any one proceeds to a discussion; also, a principle laid down as the basis of reasoning; a proposition; a thesis; as, to define one's position; to appear in a false position.