Faster access than browser!Similarities between Canonical commutation relation and Heisenberg group
Canonical commutation relation and Heisenberg group have 12 things in common (in Unionpedia): Canonical coordinates, CCR and CAR algebras, Exponential map (Lie theory), Fourier transform, Hilbert space, Lie algebra, Lie group, Poisson bracket, Quantum mechanics, Stone–von Neumann theorem, Werner Heisenberg, Wigner–Weyl transform.
Canonical coordinates
In mathematics and classical mechanics, canonical coordinates are sets of coordinates on phase space which can be used to describe a physical system at any given point in time.
Canonical commutation relation and Canonical coordinates · Canonical coordinates and Heisenberg group ·
CCR and CAR algebras
In mathematics and physics CCR algebras (after canonical commutation relations) and CAR algebras (after canonical anticommutation relations) arise from the quantum mechanical study of bosons and fermions respectively.
CCR and CAR algebras and Canonical commutation relation · CCR and CAR algebras and Heisenberg group ·
Exponential map (Lie theory)
In the theory of Lie groups, the exponential map is a map from the Lie algebra \mathfrak g of a Lie group G to the group, which allows one to recapture the local group structure from the Lie algebra.
Canonical commutation relation and Exponential map (Lie theory) · Exponential map (Lie theory) and Heisenberg group ·
Fourier transform
The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.
Canonical commutation relation and Fourier transform · Fourier transform and Heisenberg group ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Canonical commutation relation and Hilbert space · Heisenberg group and Hilbert space ·
Lie algebra
In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.
Canonical commutation relation and Lie algebra · Heisenberg group and Lie algebra ·
Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
Canonical commutation relation and Lie group · Heisenberg group and Lie group ·
Poisson bracket
In mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's equations of motion, which govern the time evolution of a Hamiltonian dynamical system.
Canonical commutation relation and Poisson bracket · Heisenberg group and Poisson bracket ·
Quantum mechanics
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
Canonical commutation relation and Quantum mechanics · Heisenberg group and Quantum mechanics ·
Stone–von Neumann theorem
In mathematics and in theoretical physics, the Stone–von Neumann theorem is any one of a number of different formulations of the uniqueness of the canonical commutation relations between position and momentum operators.
Canonical commutation relation and Stone–von Neumann theorem · Heisenberg group and Stone–von Neumann theorem ·
Werner Heisenberg
Werner Karl Heisenberg (5 December 1901 – 1 February 1976) was a German theoretical physicist and one of the key pioneers of quantum mechanics.
Canonical commutation relation and Werner Heisenberg · Heisenberg group and Werner Heisenberg ·
Wigner–Weyl transform
In quantum mechanics, the Wigner–Weyl transform or Weyl–Wigner transform is the invertible mapping between functions in the quantum phase space formulation and Hilbert space operators in the Schrödinger picture.
Canonical commutation relation and Wigner–Weyl transform · Heisenberg group and Wigner–Weyl transform ·
The list above answers the following questions
- What Canonical commutation relation and Heisenberg group have in common
- What are the similarities between Canonical commutation relation and Heisenberg group
Canonical commutation relation and Heisenberg group Comparison
Canonical commutation relation has 64 relations, while Heisenberg group has 96. As they have in common 12, the Jaccard index is 7.50% = 12 / (64 + 96).
References
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