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A Recipe for State-and
A Recipe for State-and

... a map f : X → T (Y ) to µ ◦ T (f ) : T (X) → T (Y ). This bijective correspondence on the right is a categorical formality. But the correspondence on the left is much more interesting, since it precisely describes to which kind of predicate transformers (preserving which structure) computations corr ...
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Density Operator Theory and Elementary Particles

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please scroll down for article
please scroll down for article

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Reply to seven commentaries on “Consciousness in the universe: ScienceDirect

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Permutation-symmetric three-particle hyper

... • Homogenous harmonic polynomials (obeying Laplace eq. = traceless) of order K restricted to unit sphere • Harmonics of order K are further labeled by appropriate quantum numbers, usually related to SO(D) subgroups ...
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Speculations on the Union of Science and Religion

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arXiv:0803.3834v2 [quant-ph] 26 May 2009

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... At the  Solvay conference in Brussels—perhaps the most important meeting in the history of quantum theory—Louis de Broglie presented what he called ‘the new dynamics of quanta’ [BV09]. This, the culmination of his independent work beginning in  [dB23] and supplemented by Schrödinger’s disco ...
Twisted Equivariant Matter - Rutgers Physics
Twisted Equivariant Matter - Rutgers Physics

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Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra. There is no single, all-encompassing definition, but instead a family of broadly similar objects.The term ""quantum group"" first appeared in the theory of quantum integrable systems, which was then formalized by Vladimir Drinfeld and Michio Jimbo as a particular class of Hopf algebra. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a `bicrossproduct' class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.In Drinfeld's approach, quantum groups arise as Hopf algebras depending on an auxiliary parameter q or h, which become universal enveloping algebras of a certain Lie algebra, frequently semisimple or affine, when q = 1 or h = 0. Closely related are certain dual objects, also Hopf algebras and also called quantum groups, deforming the algebra of functions on the corresponding semisimple algebraic group or a compact Lie group.Just as groups often appear as symmetries, quantum groups act on many other mathematical objects and it has become fashionable to introduce the adjective quantum in such cases; for example there are quantum planes and quantum Grassmannians.
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