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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)
mechanics List of equations in nuclear and particle physics List of equations Operator (physics) Laws of science Physical constant Physical quantity
Lists_of_physics_equations
Function acting on function spaces
(see Operator (physics) for other examples) The most basic operators are linear maps, which act on vector spaces. Linear operators refer to linear maps
Operator_(mathematics)
Topics referred to by the same term
wh- interrogatives Operator (physics), mathematical operators in quantum physics Operator (band), an American hard rock band Operators, a synth pop band
Operator
Quantum operator for the sum of energies of a system
quantum physics. Similar to vector notation, it is typically denoted by H ^ {\displaystyle {\hat {H}}} , where the hat indicates that it is an operator. It
Hamiltonian (quantum mechanics)
Hamiltonian_(quantum_mechanics)
Description of physical properties at the atomic and subatomic scale
Quantum mechanics, also known as quantum physics, is the fundamental physical theory that describes the behavior of matter and of light; its unusual characteristics
Quantum_mechanics
Differential operator used in vector calculus
seen above in the case of the Laplacian. del d'Alembert operator "12.2: Vector Operators". Physics LibreTexts. 2020-05-09. Retrieved 2025-05-14. H. M. Schey
Vector_operator
Any entity that can be measured
In physics, an observable is a physical property or physical quantity that can be measured. In classical mechanics, an observable is a real-valued "function"
Observable
First-order differential linear operator on spinor bundle, whose square is the Laplacian
applications to analytical physics must be extensive in a high degree. D = − i ∂ x {\displaystyle D=-i\partial _{x}} is a Dirac operator on the tangent bundle
Dirac_operator
Systematic procedure of turning a classical theory into a quantum one
procedure is basic to theories of atomic physics, chemistry, particle physics, nuclear physics, condensed matter physics, and quantum optics. In 1901, when
Quantization_(physics)
Differential operator in mathematics
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean
Laplace_operator
Symmetry of spatially mirrored systems
In physics, a parity transformation (also called parity inversion) is the flip in the sign of one spatial coordinate. In three dimensions, it can also
Parity_(physics)
Machine learning framework
paradigm to operator learning are broadly called physics-informed neural operators (PINO), where loss functions can include full physics equations or
Neural_operators
Conjugate transpose of an operator in infinite dimensions
fields like physics, especially when used in conjunction with bra–ket notation in quantum mechanics. In finite dimensions where operators can be represented
Hermitian_adjoint
Mathematical conjecture about the Riemann zeta function
Physics A: Mathematical and Theoretical, 43 (9): 37, arXiv:0912.3183v5, doi:10.1088/1751-8113/43/9/095204, S2CID 115162684 Simon, B. (2015), Operator
Hilbert–Pólya_conjecture
Operators useful in quantum mechanics
is the adjoint of the annihilation operator. In many subfields of physics and chemistry, the use of these operators instead of wavefunctions is known as
Creation and annihilation operators
Creation_and_annihilation_operators
Linear operator equal to its own adjoint
operator is almost as good as having a self-adjoint operator, since we merely need to take the closure to obtain a self-adjoint operator. In physics,
Self-adjoint_operator
Branch of applied mathematics
Mathematical physics is the development of mathematical methods for use in physics and their applications. A broader definition would include the development
Mathematical_physics
Analog of the continuous Laplace operator
vertices), the discrete Laplace operator is more commonly called the Laplacian matrix. The discrete Laplace operator occurs in physics problems such as the Ising
Discrete_Laplace_operator
Operator in quantum mechanics
quantum state then the operator is self-adjoint. In physics the term Hermitian often refers to both symmetric and self-adjoint operators. (In certain artificial
Momentum_operator
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
Specific quantum state of a quantum harmonic oscillator
ff L. Susskind and J. Glogower, Quantum mechanical phase and time operator,Physics 1 (1963) 49. Carruthers, P.; Nieto, Michael Martin (1968-04-01). "Phase
Coherent_state
unsolved problems grouped into broad areas of physics. Some of the major unsolved problems in physics are theoretical, meaning that existing theories
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Low energy theories not compatible with string theory
In physics, the term swampland refers to effective low-energy physical theories which are not compatible with quantum gravity. This is in contrast with
Swampland_(physics)
Typically linear operator defined in terms of differentiation of functions
In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first
Differential_operator
Projection of spin along the direction of momentum
In physics, helicity is the projection of the spin onto the direction of momentum. Mathematically, helicity is the sign of the projection of the spin
Helicity_(particle_physics)
Russian Physicist
he entered the Physics Faculty of MEPHi, graduating with honors in November 1950 with a diploma of designer and operator of physics equipment. After
Igor_Irodov
Broad concept generalizing scalars in mathematics and physics
In mathematics and physics, a vector is a generalization of a single number. It may denote a vector quantity, i.e., physical quantity that cannot be expressed
Vector (mathematics and physics)
Vector_(mathematics_and_physics)
Intrinsic quantum property of particles
Hamiltonian to its conjugate momentum, which is the total angular momentum operator J = L + S . Therefore, if the Hamiltonian H has any dependence on the spin
Spin_(physics)
Bijective antilinear map between two complex Hilbert spaces
Antiunitary Symmetry Operators", Journal of Mathematical Physics Vol 1, no 5, 1960, pp.414–416 Unitary operator Wigner's Theorem Particle physics and representation
Antiunitary_operator
Raising and lowering operators in quantum mechanics
or lowering operator (collectively known as ladder operators) is an operator that increases or decreases the eigenvalue of another operator. In quantum
Ladder_operator
Description of a quantum-mechanical system
evolution generated by a Hamiltonian operator, as in the Schrödinger functional method. Attempts to combine quantum physics with special relativity began with
Schrödinger_equation
Vector differential operator
Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by ∇ (the nabla
Del
Mapping involving integration between function spaces
{\displaystyle Tf} . An integral transform is a particular kind of mathematical operator. There are numerous useful integral transforms. Each is specified by a
Integral_transform
Operator in quantum physics
In quantum physics, the squeeze operator for a single mode of the electromagnetic field is S ^ ( z ) = exp ( 1 2 ( z ∗ a ^ 2 − z a ^ † 2 ) ) , z = r
Squeeze_operator
Elementary particle involved with rest mass
Standard Model of particle physics produced by the quantum excitation of the Higgs field, one of the fields in particle physics theory. In the Standard Model
Higgs_boson
Specific operation in theoretical physics
In theoretical physics, the word meta-operator is sometimes used to refer to a specific operation over a combination of operators, as in the example of
Meta-operator
International System of Units ISO 31 Elert, Glenn. "Special Symbols". The Physics Hypertextbook. Retrieved 4 August 2021. NIST (16 August 2023). "SI Units"
List of common physics notations
List_of_common_physics_notations
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 observable in a physical system
which the invariance is evaluated should be indicated. Casimir operator Charge (physics) Conservation law Conserved quantity Covariance group General covariance
Invariant_(physics)
Topic in mathematics
In mathematics, a Hilbert–Schmidt operator, named after David Hilbert and Erhard Schmidt, is a bounded operator A : H → H {\displaystyle A\colon H\to
Hilbert–Schmidt_operator
Formulation to quantize gauge field theories in physics
"Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism", Lebedev Physics Institute preprint 39 (1975), arXiv:0812.0580. Kugo
BRST_quantization
Concept in Hlibert spaces mathematics
inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with traces of matrices
Trace_inequality
Type of measurement in quantum mechanics
quantum information theory, symmetric, informationally complete, positive operator-valued measures (SIC-POVMs) are a particular type of generalized measurement
SIC-POVM
Physical quantities taking values at each point in space and time
descriptions of how field values change in space and time, are ubiquitous in physics. For instance, the electric field is another vector field, while electrodynamics
Field_(physics)
Topological space that locally resembles Euclidean space
manifold is central to many parts of geometry and modern mathematical physics because it allows complicated structures to be described in terms of well-understood
Manifold
Profession that involves the operation of specific equipment or service
computing, power generation and transmission, customer service, physics, and construction. Operators are day-to-day end users of systems, that may or may not
Operator_(profession)
Truths and principles of the study of matter, space, time and energy
In philosophy, the philosophy of physics deals with conceptual and interpretational issues in physics, many of which overlap with research done by certain
Philosophy_of_physics
Differential equation for the description of waves or standing wave
dynamics. This article focuses on waves in classical physics. Quantum physics uses an operator-based wave equation often as a relativistic wave equation
Wave_equation
Equations describing classical electromagnetism
{\displaystyle \nabla \cdot } the divergence operator, and ∇ × {\displaystyle \nabla \times } the curl operator. In partial differential equation form and
Maxwell's_equations
Invertible linear endomorphism
Yang–Baxter operators are invertible linear endomorphisms with applications in theoretical physics and topology. They are named after theoretical physicists
Yang–Baxter_operator
Concept in quantum mechanics
term "observable" has gained a technical meaning, denoting a self-adjoint operator that represents the possible results of a random variable. The theoretical
Observer_(quantum_physics)
Technique to solve partial differential equations
In machine learning, physics-informed neural networks (PINNs), also referred to as theory-trained neural networks (TTNs), are a type of universal function
Physics-informed neural networks
Physics-informed_neural_networks
Operator shifting particles and fields by a certain amount in a certain direction
Hamiltonian, i.e. when laws of physics are translation-invariant. This is an example of Noether's theorem. The translation operator T ^ ( x ) {\displaystyle
Translation operator (quantum mechanics)
Translation_operator_(quantum_mechanics)
Theorem in quantum mechanics
In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from
Gleason's_theorem
Algebraic operation on coordinate vectors
product of their lengths). The name "dot product" is derived from the dot operator " ⋅ " that is often used to designate this operation; the alternative name
Dot_product
Eighteenth letter of the Greek alphabet
numerals, sigma has a value of 200. In general mathematics, Σ is used as an operator for summation. The Latin letter S derives from sigma while the Cyrillic
Sigma
Collection of mathematical theories
and the spectral theory of single normal operators on them were well suited to the requirements of physics, exemplified by the work of von Neumann. The
Spectral_theory
In physics, a linear operator acting on a vector space of linear operators
In physics, a superoperator is a linear operator acting on a vector space of linear operators. Sometimes the term refers more specially to a completely
Superoperator
Theory of gravitation as curved spacetime
accepted description of the gravitation of macroscopic objects in modern physics. General relativity generalizes special relativity and refines Isaac Newton's
General_relativity
Differential form of degree one or section of a cotangent bundle
lattice – Fourier transform of a real-space lattice, important in solid-state physics Tensor – Algebraic object with geometric applications "2 Introducing Differential
One-form
Peer-reviewed journal
in analysis related to condensed matter physics, statistical mechanics and quantum field theory, and in operator algebras, quantum information and relativity
Communications in Mathematical Physics
Communications_in_Mathematical_Physics
Method of statistical physics
statistical physics. It allows the splitting of the dynamics of a system into a relevant and an irrelevant part using projection operators, which helps
Mori–Zwanzig_formalism
Markovian quantum master equation for density matrices (mixed states)
\{L_{i}\}_{i}} are a set of jump operators, describing the dissipative part of the dynamics. The shape of the jump operators describes how the environment
Lindbladian
Result about when a matrix can be diagonalized
functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix
Spectral_theorem
United States Army Positions
Control Enhanced Operator/Maintainer 14G Air Defense Battle Management System Operator 14H Air Defense Enhanced Early Warning System Operator 14P Air and Missile
List of United States Army careers
List_of_United_States_Army_careers
Punctuation and accent mark (~, ◌̃)
used as bitwise not operator, concatenation operator such as those of arrays, and to indicate an object destructor. Tilde operator can be overloaded for
Tilde
Class of operators in quantum field theory
(IR) physics significantly (e.g. because the vacuum expectation value (VEV) of some field depends sensitively upon the coefficient of this operator). In
Dangerously irrelevant operator
Dangerously_irrelevant_operator
Term in quantum field theory
fermions, (−1)F is a unitary, Hermitian, involutive operator where F is the fermion number operator. For the example of particles in the Standard Model
(−1)F
Generative AI chatbot by OpenAI
"Introducing Operator". OpenAI Blog. February 1, 2025. Retrieved March 8, 2025. Agomuoh, Fionna (January 24, 2025). "OpenAI's Operator AI agent comes
ChatGPT
Quasiparticle of mechanical vibrations
oscillation is smaller than the size of the object. A type of quasiparticle in physics, a phonon is an excited state in the quantum mechanical quantization of
Phonon
solution of generalized Dicke models via Susskind-Glogower operators". Journal of Physics A. 46 (9) 095301. arXiv:1207.6551. Bibcode:2013JPhA...46i5301R
Susskind–Glogower_operator
In mathematics, a linear operator acting on inner product space
mathematics (specifically linear algebra, operator theory, and functional analysis) as well as physics, a linear operator A {\displaystyle A} acting on an inner
Positive_operator
American mathematician (born 1945)
mathematician, specializing in mathematical physics and, more specifically, random Schrödinger operators for disordered systems. He received in 1971 his
Abel_Klein
Exterior algebraic map taking tensors from p forms to n-p forms
In mathematics, the Hodge star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed
Hodge_star_operator
Axiomatization of quantum field theory
In mathematical physics, the Wightman axioms, also called the Gårding–Wightman axioms, named after Arthur Wightman, are an attempt at a mathematically
Wightman_axioms
Algebra associated to any vector space
the minors of the transformation. In physics, many quantities are naturally represented by alternating operators. For example, if the motion of a charged
Exterior_algebra
Self-adjoint operator that arises in physical transition problems
In mathematical physics, the almost Mathieu operator, named for its similarity to the Mathieu operator introduced by Émile Léonard Mathieu, arises in the
Almost_Mathieu_operator
Expansion of the time evolution operator
part of mathematical physics, the Dyson series, formulated by Freeman Dyson, is a perturbative expansion of the time evolution operator in the interaction
Dyson_series
Branch of elementary mathematics
calculus, and statistics. They play a similar role in the sciences, like physics and economics. Arithmetic is present in many aspects of daily life, for
Arithmetic
Circulation density in a vector field
\nabla } is taken as a vector differential operator del. Such notation involving operators is common in physics and algebra. Expanded in 3-dimensional Cartesian
Curl_(mathematics)
American artificial intelligence company
upcoming OpenAI o3 models were shared. On January 23, 2025, OpenAI released Operator, an AI agent and tool for accessing websites to execute goals defined by
OpenAI
Scientific subjects
physics, and molecular physics; optics and acoustics; condensed matter physics; high-energy particle physics and nuclear physics; and chaos theory and
Branches_of_physics
Process in quantum mechanical theories
the Formation of Quantum-Mechanical Operators". American Journal of Physics. 27 (1). American Association of Physics Teachers (AAPT): 16–21. Bibcode:1959AmJPh
Canonical_quantization
Influence that can change motion of an object
In physics, a force is an action that can cause an object to change its velocity or its shape, or to resist other forces, or to cause changes of pressure
Force
Country in Central Europe
is electrified. České dráhy (lit. 'Czech railways') is the main railway operator in the country, with about 170 million passengers carried annually. Maximum
Czech_Republic
Branch of mathematics concerning probability
mechanics or sequential estimation. A great discovery of twentieth-century physics was the probabilistic nature of physical phenomena at atomic scales, described
Probability_theory
Millennium Prize Problem
existence and mass gap problem is an unsolved problem in mathematical physics and mathematics, and one of the seven Millennium Prize Problems defined
Yang–Mills existence and mass gap
Yang–Mills_existence_and_mass_gap
Theory of subatomic structure
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called
String_theory
Second-order partial differential equation
In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its
Laplace's_equation
Branch of chemistry
the nuclear degrees of freedom is propagated via the time evolution operator (physics) associated to the time-dependent Schrödinger equation (for the full
Computational_chemistry
typographic symbols List of mathematical symbols by subject List of common physics notations List of typographic features Category:Typographical symbols As
List of typographical symbols and punctuation marks
List_of_typographical_symbols_and_punctuation_marks
Statistical mechanics of quantum-mechanical systems
quantum physics is the expectation value of an observable. Physically measurable quantities are represented mathematically by self-adjoint operators that
Quantum_statistical_mechanics
Overview of and topical guide to physics
following outline is provided as an overview of and topical guide to physics: Physics – natural science that involves the study of matter and its motion
Outline_of_physics
Field theory involving topological effects in physics
In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes
Topological quantum field theory
Topological_quantum_field_theory
Fact that observing a situation changes it
In physics, the observer effect is the disturbance of a system by the act of observation. This is often the result of utilising instruments that, by necessity
Observer_effect_(physics)
Argentine revolutionary (1928–1967)
be Marxist with the same naturalness with which one is 'Newtonian' in physics, or 'Pasteurian' in biology." According to Guevara, "practical revolutionaries"
Che_Guevara
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
Law of physics and chemistry
continuous time translation symmetry; that is, from the fact that the laws of physics do not change over time. A consequence of the law of conservation of energy
Conservation_of_energy
American theoretical physicist (1918–1988)
the physics of elementary particles". He is also known for his work in the path integral formulation of quantum mechanics, the theory of the physics of
Richard_Feynman
OPERATOR PHYSICS
OPERATOR PHYSICS
Girl/Female
Hindu, Indian, Sindhi, Tamil
Magnificent Poetess; Orator
Boy/Male
Tamil
Vakpati | வாகà¯à®ªà®¤à®¿
Great orator
Vakpati | வாகà¯à®ªà®¤à®¿
Boy/Male
Tamil
Orator
Boy/Male
Muslim/Islamic
Orator Preacher
Boy/Male
Muslim
Orator, Preacher, Religious minister
Boy/Male
Arabic
Orator; Speaker
Girl/Female
Arabic
Orator; Preacher
Boy/Male
Arabic, Indian, Muslim
Orator; Preacher
Girl/Female
Arabic
Orator; Preacher
Girl/Female
Assamese, Hindu, Indian, Tamil
Magnificent Poetess; Orator
Boy/Male
Arabic
Orator; Speaker
Boy/Male
Hindu, Indian, Kannada, Marathi, Tamil, Telugu
Orator
Girl/Female
Biblical
An orator, a word.
Biblical
an orator
Boy/Male
Hindu, Indian, Malayalam, Marathi
Great Orator
Girl/Female
Biblical
An orator, an interpreter.
Boy/Male
Biblical
An orator.
Boy/Male
Arabic, Muslim
Orator; Preacher
Boy/Male
Muslim
Orator, Preacher, Religious minister
Boy/Male
Hindu
Great orator
OPERATOR PHYSICS
OPERATOR PHYSICS
Girl/Female
Hindu, Indian, Sanskrit, Tamil
A Bow; The Zodiacal Sign Sagittarius
Girl/Female
French, German, Hebrew
Jehovah Increases; Female Version of Joseph
Girl/Female
Indian
Name of a star
Girl/Female
Australian, French, Spanish
Owns a New House
Girl/Female
Muslim
Pretty
Girl/Female
Hindu, Indian, Malayalam, Marathi, Tamil
Garland of Flowers
Girl/Female
Anglo, British, English
Goddess of the Dawn
Boy/Male
Hindu, Indian
Belonging to the Sun
Boy/Male
Norse
The ship that will carry the dead to Ragnarok.
Girl/Female
Indian, Tamil
Thairyadhu
OPERATOR PHYSICS
OPERATOR PHYSICS
OPERATOR PHYSICS
OPERATOR PHYSICS
OPERATOR PHYSICS
imp. & p. p.
of Operate
a.
Alt. of Operatical
n.
One who, or that which, operates or produces an effect.
n.
The act or process of operating; agency; the exertion of power, physical, mechanical, or moral.
n.
Any methodical action of the hand, or of the hand with instruments, on the human body, to produce a curative or remedial effect, as in amputation, etc.
n.
Effect produced; influence.
n.
A mechamical arrangement for regulating motion in a machine, or producing equality of effect.
v. t.
To put into, or to continue in, operation or activity; to work; as, to operate a machine.
n.
One fond of his own opinious; one who holds an opinion.
n.
The officer who presides over an assembly to preserve order, propose questions, regulate the proceedings, and declare the votes.
n.
A dealer in stocks or any commodity for speculative purposes; a speculator.
n.
The method of working; mode of action.
n.
One who performs some act upon the human body by means of the hand, or with instruments.
n.
That which is operated or accomplished; an effect brought about in accordance with a definite plan; as, military or naval operations.
n.
An officer who is the voice of the university upon all public occasions, who writes, reads, and records all letters of a public nature, presents, with an appropriate address, those persons on whom honorary degrees are to be conferred, and performs other like duties; -- called also public orator.
n.
In the University of Oxford, an examiner for moderations; at Cambridge, the superintendant of examinations for degrees; at Dublin, either the first (senior) or second (junior) in rank in an examination for the degree of Bachelor of Arts.
n.
Something to be done; some transformation to be made upon quantities, the transformation being indicated either by rules or symbols.
n.
A laboratory.
n.
Operation.
n.
The symbol that expresses the operation to be performed; -- called also facient.