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Abstract book - Nonequilibrim Phenomena in Quantum Systems
Abstract book - Nonequilibrim Phenomena in Quantum Systems

The Quantum Hall Effect
The Quantum Hall Effect

... of rather nice properties. First, they are independent of the scattering time ⌧ . This means that they capture something fundamental about the material itself as opposed to the dirty messy stu↵ that’s responsible for scattering. The second nice property is to do with what we measure. Usually we meas ...
Michio Masujima Applied Mathematical Methods in Theoretical
Michio Masujima Applied Mathematical Methods in Theoretical

Phys. Chem. Chem. Phys. 14, 9411-20
Phys. Chem. Chem. Phys. 14, 9411-20

... AQS, although some of them could also be used on DQS. 2.2.1 Preparing the quantum state into an initial state. In principle, there are two ways to simulate a chemical system.65,66 One is the second quantization method where the Born– Oppenheimer approximation is adopted. It considers that electrons ...
Mathematical Aspects of Quantum Theory and Quantization Summer
Mathematical Aspects of Quantum Theory and Quantization Summer

arXiv:quant-ph/0510223v4 1 Jun 2007 Foundations Of Quantum
arXiv:quant-ph/0510223v4 1 Jun 2007 Foundations Of Quantum

At what time does a quantum experiment have a result?
At what time does a quantum experiment have a result?

Causal structural realism in canonical quantum gravity
Causal structural realism in canonical quantum gravity

Phys. Rev. Lett. 108, 100501 - APS Link Manager
Phys. Rev. Lett. 108, 100501 - APS Link Manager

... the controlled phase gate, assuming they occur independently [29]. While, in the thermodynamic limit, the gap vanishes at the phase transition, here, we consider finite system sizes where there always exists a nonzero gap. For gapless phases such as the dipolar crystal, however, it is important to n ...
Adding quantum effects to the semi-classical molecular
Adding quantum effects to the semi-classical molecular

7 Quantum Computing Applications of Genetic Programming
7 Quantum Computing Applications of Genetic Programming

Document
Document

On the Study of Quantum Properties of Space-Time with
On the Study of Quantum Properties of Space-Time with

Daniel Dennett`s Compatibilism
Daniel Dennett`s Compatibilism

... author or artificer of the algorithm? Gregory Chaitin tells us that the information in a random-number sequence is only as much as is in the algorithm that created the sequence. And note that the artificial algorithm author implicitly has the kind of knowledge attributed to Laplace’s Demon. Since De ...
Effect of Generalized Uncertainty Principle on Main
Effect of Generalized Uncertainty Principle on Main

Information: Forgotten Variable in Physics Models
Information: Forgotten Variable in Physics Models

Single-electron tunneling in the fractional quantum Hall effect regime∗
Single-electron tunneling in the fractional quantum Hall effect regime∗

Proposal - MURI on FIND
Proposal - MURI on FIND

Stability of Complex Biomolecular Structures: van der Waals
Stability of Complex Biomolecular Structures: van der Waals

Coupled quantum dots as quantum gates
Coupled quantum dots as quantum gates

ers Mathieu Guay-Paquet and J. Harnad ∗
ers Mathieu Guay-Paquet and J. Harnad ∗

Quantum Mechanical Algorithms for the Nonabelian Hidden
Quantum Mechanical Algorithms for the Nonabelian Hidden

University of Maryland, Baltimore County
University of Maryland, Baltimore County

Phys.Rev.Lett. 84, 1
Phys.Rev.Lett. 84, 1

How to acknowledge hypercomputation? Alexander Leitsch , G¨unter Schachner
How to acknowledge hypercomputation? Alexander Leitsch , G¨unter Schachner

< 1 ... 86 87 88 89 90 91 92 93 94 ... 245 >

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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