In mathematics and in theoretical physics, the Stone–von Neumann theorem refers to any one of a number of different formulations of the uniqueness of...

Kennard (1927) to imply the Heisenberg uncertainty principle. The Stone–von Neumann theorem gives a uniqueness result for operators satisfying (an exponentiated...

Stone–Weierstrass theorem Stone–von Neumann theorem Stone's theorem on one-parameter unitary groups It may also refer to the theorem of A. H. Stone that for Hausdorff...

quantum mechanical systems, especially in the context of the Stone–von Neumann theorem. More generally, one can consider Heisenberg groups associated...

of the Heisenberg commutation relations, as formulated in the Stone–von Neumann theorem, was later interpreted within group representation theory, in...

Neumann norm Stone–von Neumann theorem Taylor–von Neumann–Sedov blast wave von Neumann algebra Abelian von Neumann algebra Enveloping von Neumann algebra Finite-dimensional...

continuous one-parameter unitary groups. The theorem was proved by Marshall Stone (1930, 1932), and John von Neumann (1932) showed that the requirement that...

von Neumann double commutant theorem (von Neumann 1930) says that the first two definitions are equivalent. The first two definitions describe a von Neumann...

country in that period." Stone made several advances in the 1930s: In 1930, he proved the Stone–von Neumann uniqueness theorem. In 1932, he published a...

the "exponentiated commutation relations" that enter into the Stone–von Neumann theorem. A simple proof of this identity is given below. Another useful...

John von Neumann (/vɒn ˈnɔɪmən/ von NOY-mən; Hungarian: Neumann János Lajos [ˈnɒjmɒn ˈjaːnoʃ ˈlɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian...

closely related concept also appears in quantum mechanics; see the Stone–von Neumann theorem and canonical commutation relations for details. As Hamiltonian...

theorem (physics) Reeh–Schlieder theorem (local quantum field theory) Spin–statistics theorem (physics) Stone–von Neumann theorem (functional analysis, representation...

formulae of Fourier analysis is ultimately a consequence of the Stone–von Neumann theorem, asserting the uniqueness of the Schrödinger representation of...

irreducible representation of the Weyl relations, so that the Stone–von Neumann theorem (guaranteeing uniqueness of the canonical commutation relations)...

t\right)=\left(-\xi ,x,te^{-i2\pi \xi x}\right).} According to the Stone–von Neumann theorem, the unitary representations ρ and ρ ∘ j are unitarily equivalent...

quantum mechanics that describes finite dimensional systems, due to Stone-von Neumann theorem (that states the uniqueness of Heisenberg commutation relations...

Fuglede's theorem Compression (functional analysis) Friedrichs extension Stone's theorem on one-parameter unitary groups Stone–von Neumann theorem Functional...

commutator above by the Poisson bracket (see also below). By the Stone–von Neumann theorem, the Heisenberg picture and the Schrödinger picture must be unitarily...

Representation theory of SL2(R) Representations of the Lorentz group Stone–von Neumann theorem Unitary representation of a star Lie superalgebra Zonal spherical...

given central character, or in other words an analogue of the Stone–von Neumann theorem. (It is assumed for this that the characteristic of the field...

Induced representation Peter–Weyl theorem Spherical harmonic Casimir operator Hecke operator Stone–von Neumann theorem Discrete series representation Tempered...

to momentum operators and position operators. Indeed, by the Stone–von Neumann theorem, every representation satisfying the CCR (every representation...

automatically yields the Ehrenfest theorem, featured in the correspondence principle. By the Stone–von Neumann theorem, the Heisenberg picture and the Schrödinger...

center acting as multiplication by a given nonzero constant. The Stone–von Neumann theorem states that this representation is essentially unique: if ρ ′...

representation of Heisenberg's canonical commutation relations. The Stone–von Neumann theorem dictates that all irreducible representations of the finite-dimensional...

unitary representations of a Lie group have been analyzed. The Stone–von Neumann theorem can be understood as giving a classification of the irreducible...

evolution of physical observables from Stone's theorem, which had been proved shortly before. This finding inspired von Neumann to apply the novel formalism to...

relations and act irreducibly on the Segal–Bargmann space, the Stone–von Neumann theorem applies. Thus, there is a unitary map B from the position Hilbert...

V {\displaystyle V} is finite dimensional is discussed in the Stone–von Neumann theorem. If V {\displaystyle V} is equipped with a nonsingular real symmetric...