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...

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...

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...

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...

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...

clear that the applications to analytical physics must be extensive in a high degree. D = −i ∂x is a Dirac operator on the tangent bundle over a line. Consider...

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

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

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

(1964-07-01). "Quantum mechanical phase and time operator". Physics Physique Fizika. 1 (1): 49–61. doi:10.1103/PhysicsPhysiqueFizika.1.49. Gell-Mann, Murray (1964-07-01)...

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

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

operator on that Hilbert space termed an "observable".: 17  These observables play the role of measurable quantities familiar from classical physics:...

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

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...

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

In quantum physics, a quantum state is a mathematical entity that embodies the knowledge of a quantum system. Quantum mechanics specifies the construction...

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...

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

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

In physics, a force is an influence that can cause an object to change its velocity unless counterbalanced by other forces. In mechanics, force makes...

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,...

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...

the conservation of energy is a consequence of the fact that the laws of physics do not change over time. Thus, since 1918, theorists have understood that...

constitute a complete basis. Measure (physics) Observable universe Observer (quantum physics) Table of QM operators Unobservable Teschl 2014, pp. 65–66...

{\displaystyle Tf} . An integral transform is a particular kind of mathematical operator. There are numerous useful integral transforms. Each is specified by a...

hold for expressions that include nonlinear operators, such as the antilinear time reversal operator in physics. Bra–ket notation makes it particularly easy...

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