Quantum double-torus
نویسندگان
چکیده
منابع مشابه
Quantum Mechanics on a Torus *
We present here a canonical description for quantizing classical maps on a torus. We prove theorems analagous to classical theorems on mixing and ergodicity in terms of a quantum Koopman space L (A~, τ~) obtained as the completion of the algebra of observables A~ in the norm induced by the following inner product (A,B) = τ~ ( A†B ) , where τ~ is a linear functional on the algebra analogous to t...
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The classical isoperimetric problem seeks the least-area way to enclose a single region of prescribed volume. About 200 BC, Zenodorus argued that a circle is the least-perimeter enclosure of prescribed area in the plane (see [Heath 60]). In 1884, Schwarz [Schwarz 1884] proved by symmetrization that a sphere minimizes surface area for a given volume in R. Isoperimetric problems arise naturally i...
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On classical phase spaces admitting just one complex–differentiable structure, there is no indeterminacy in the choice of the creation operators that create quanta out of a given vacuum. In these cases the notion of a quantum is universal, i.e., independent of the observer on classical phase space. Such is the case in all standard applications of quantum mechanics. However, recent developments ...
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We find a quantum group structure in two-dimensional motion of nonrelativistic electrons in a uniform magnetic field on a torus. The representation basis of the quantum algebra is composed of the quantum Hall wavefunctions proposed by Haldane-Rezayi at the Landau-level filling factor ν = 1/m (m odd). It is also shown that the quantum group symmetry is relevant to the degenerate Landau states an...
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ژورنال
عنوان ژورنال: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
سال: 1998
ISSN: 0764-4442
DOI: 10.1016/s0764-4442(98)89162-3