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Quantum Theory, Noncommutativity and Heuristics
Quantum Theory Noncommutativity Heuristics
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2011/3/3
Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts.Firstly as field theories on noncommutat...
Reconstruction in quantum field theory with a fundamental length
Reconstruction quantum field theory fundamental length
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2011/2/21
In this paper, we establish an analog of Wightman’s reconstruction theorem for nonlocal
quantum field theory with a fundamental length. In our setting, the Wightman generalized functions are defined ...
A Closed Formula for the Barrier Transmission Coefficient in Quaternionic Quantum mechanics
Closed Formula Barrier Transmission Coefficient Quaternionic Quantum mechanics
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2011/2/24
A Closed Formula for the Barrier Transmission Coefficient in Quaternionic Quantum mechanics.
Lieb-Robinson Bounds and Quasi-locality for the Dynamics of Many-Body Quantum Systems
Lieb-Robinson Bounds Quasi-locality Dynamics Many-Body Quantum Systems
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2010/11/23
We review a recently proven Lieb-Robinson bound for general, many-body quantum systems with bounded interactions. Several basic examples are discussed as well as the connection between commutator esti...
Correlation Widths in Quantum--Chaotic Scattering
Correlation Widths Quantum--Chaotic Scattering
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2010/11/10
An important parameter to characterize the scattering matrix S for quantum-chaotic scattering is the width Gamma_{corr} of the S-matrix autocorrelation function. We show that the "Weisskopf estimate"...
Operator algebra quantum groups of universal gauge groups
Operator algebra quantum groups universal gauge groups
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2010/11/11
In this paper, we quantize universal gauge groups such as SU(\infty), in the sigma-C*-algebra setting. More precisely, we propose a concise definition of sigma-C*-quantum groups and explain the conce...