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Rotating-wave approximation, the Glossary

Index Rotating-wave approximation

The rotating-wave approximation is an approximation used in atom optics and magnetic resonance.[1]

Table of Contents

  1. 18 relations: Atom optics, Bra–ket notation, Complex conjugate, Electric field, Excited state, Ground state, Hamiltonian (quantum mechanics), Interaction picture, Nuclear magnetic resonance, Plane wave, Rabi frequency, Resonance, Schrödinger picture, Stationary state, Taylor series, Transition dipole moment, Two-state quantum system, Unitary transformation.

  2. Chemical physics

Atom optics

Atom optics (or atomic optics) "refers to techniques to manipulate the trajectories and exploit the wave properties of neutral atoms".

See Rotating-wave approximation and Atom optics

Bra–ket notation

Bra–ket notation, also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual space both in the finite-dimensional and infinite-dimensional case.

See Rotating-wave approximation and Bra–ket notation

Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

See Rotating-wave approximation and Complex conjugate

Electric field

An electric field (sometimes called E-field) is the physical field that surrounds electrically charged particles.

See Rotating-wave approximation and Electric field

Excited state

In quantum mechanics, an excited state of a system (such as an atom, molecule or nucleus) is any quantum state of the system that has a higher energy than the ground state (that is, more energy than the absolute minimum).

See Rotating-wave approximation and Excited state

Ground state

The ground state of a quantum-mechanical system is its stationary state of lowest energy; the energy of the ground state is known as the zero-point energy of the system.

See Rotating-wave approximation and Ground state

Hamiltonian (quantum mechanics)

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 energy.

See Rotating-wave approximation and Hamiltonian (quantum mechanics)

Interaction picture

In quantum mechanics, the interaction picture (also known as the interaction representation or Dirac picture after Paul Dirac, who introduced it) is an intermediate representation between the Schrödinger picture and the Heisenberg picture.

See Rotating-wave approximation and Interaction picture

Nuclear magnetic resonance

Nuclear magnetic resonance (NMR) is a physical phenomenon in which nuclei in a strong constant magnetic field are perturbed by a weak oscillating magnetic field (in the near field) and respond by producing an electromagnetic signal with a frequency characteristic of the magnetic field at the nucleus.

See Rotating-wave approximation and Nuclear magnetic resonance

Plane wave

In physics, a plane wave is a special case of a wave or field: a physical quantity whose value, at any moment, is constant through any plane that is perpendicular to a fixed direction in space.

See Rotating-wave approximation and Plane wave

Rabi frequency

The Rabi frequency is the frequency at which the probability amplitudes of two atomic energy levels fluctuate in an oscillating electromagnetic field.

See Rotating-wave approximation and Rabi frequency

Resonance

In physics, resonance refers to a wide class of phenomena that arise as a result of matching temporal or spatial periods of oscillatory objects.

See Rotating-wave approximation and Resonance

Schrödinger picture

In physics, the Schrödinger picture or Schrödinger representation is a formulation of quantum mechanics in which the state vectors evolve in time, but the operators (observables and others) are mostly constant with respect to time (an exception is the Hamiltonian which may change if the potential V changes).

See Rotating-wave approximation and Schrödinger picture

Stationary state

A stationary state is a quantum state with all observables independent of time.

See Rotating-wave approximation and Stationary state

Taylor series

In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

See Rotating-wave approximation and Taylor series

Transition dipole moment

The transition dipole moment or transition moment, usually denoted \mathbf_ for a transition between an initial state, m, and a final state, n, is the electric dipole moment associated with the transition between the two states.

See Rotating-wave approximation and Transition dipole moment

Two-state quantum system

In quantum mechanics, a two-state system (also known as a two-level system) is a quantum system that can exist in any quantum superposition of two independent (physically distinguishable) quantum states.

See Rotating-wave approximation and Two-state quantum system

Unitary transformation

In mathematics, a unitary transformation is a linear isomorphism that preserves the inner product: the inner product of two vectors before the transformation is equal to their inner product after the transformation.

See Rotating-wave approximation and Unitary transformation

See also

Chemical physics

References

[1] https://en.wikipedia.org/wiki/Rotating-wave_approximation

Also known as Rotating wave approximation.