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...

(see Operator (physics) for other examples) The most basic operators are linear maps, which act on vector spaces. Linear operators refer to linear maps...

wh- interrogatives Operator (physics), mathematical operators in quantum physics Operator (band), an American hard rock band Operators, a synth pop band...

mechanics List of equations in nuclear and particle physics List of equations Operator (physics) Laws of science Physical constant Physical quantity...

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...

} where ∆ is the Laplacian of V, then D is called a Dirac operator. In high-energy physics, this requirement is often relaxed: only the second-order part...

angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role...

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean...

fields like physics, especially when used in conjunction with bra–ket notation in quantum mechanics. In finite dimensions where operators can be represented...

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...

quantum theory Mathematical formulation of quantum mechanics Observable Operator (physics) Quantum state Pure state Fock state, Fock space Density state Coherent...

and below the scale of atoms.: 1.1  It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology...

quantum mechanics, the momentum operator is the operator associated with the linear momentum. The momentum operator is, in the position representation...

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...

procedure is basic to theories of atomic physics, chemistry, particle physics, nuclear physics, condensed matter physics, and quantum optics. In 1901, when...

Antiunitary Symmetry Operators", Journal of Mathematical Physics Vol 1, no 5, 1960, pp.414–416 Unitary operator Wigner's Theorem Particle physics and representation...

Mathematical physics refers to the development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines...

paradigm to operator learning are broadly called physics-informed neural operators (PINO), where loss functions can include full physics equations or...

mathematics (specifically linear algebra, operator theory, and functional analysis) as well as physics, a linear operator A {\displaystyle A} acting on an inner...

In physics, the term swampland refers to effective low-energy physical theories which are not compatible with quantum gravity. This is in contrast with...

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...

In mathematics and physics, vector is a term that refers to quantities that cannot be expressed by a single number (a scalar), or to elements of some...

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,...

operator is sometimes called the creation operator, and the lowering operator the annihilation operator. Well-known applications of ladder operators in...

vertices), the discrete Laplace operator is more commonly called the Laplacian matrix. The discrete Laplace operator occurs in physics problems such as the Ising...

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...

evolution generated by a Hamiltonian operator, as in the Schrödinger functional method. Attempts to combine quantum physics with special relativity began with...

In quantum mechanics, a density matrix (or density operator) is a matrix that describes an ensemble of physical systems as quantum states (even if the...

dynamics. This article focuses on waves in classical physics. Quantum physics uses an operator-based wave equation often as a relativistic wave equation...

computing, power generation and transmission, customer service, physics, and construction. Operators are day-to-day end users of systems, that may or may not...