Unitary quantum physics with time-space non-commutativity
نویسندگان
چکیده
منابع مشابه
Unitary Quantum Physics with Time-Space Noncommutativity
In this work quantum physics in noncommutative spacetime is developed. It is based on the work of Doplicher et al. which allows for time-space noncommutativity. The Moyal plane is treated in detail. In the context of noncommutative quantum mechanics, some important points are explored, such as the formal construction of the theory, symmetries, causality, simultaneity and observables. The dynami...
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We study dynamics of a scalar field in the near-horizon region described by a static Klein-Gordon operator which is the Hamiltonian of the system. The explicite construction of a time operator near-horizon is given and its self-adjointness discussed. ⋆ Expanded version of a poster presented at the 5 European Advanced Study Conference in Ancient Olympia, Greece, May 2004. Preprint submitted to E...
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Field theories based on non-commutative spacetimes exhibit very distinctive non-local effects which mix the ultraviolet with the infrared in bizarre ways. In particular if the time coordinate is involved in the non-commutativity the theory seems to be seriously acausal and inconsistent with conventional hamiltonian evolution. To illustrate these effects we study the scattering of wave packets i...
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A natural consequence of string theory is a non-commutative structure of space-time on microscopic scales. The existence of a minimal length, and a modification of the effective field theory are two consequences of this space-time non-commutativity. I will first explore some consequences of the modifications of the effective field theory for structure formation in the context of an inflationary...
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We consider dynamics of a quantum scalar field, minimally coupled to classical gravity, in the near-horizon region of a Schwarzschild black-hole. It is described by a static Klein-Gordon operator which in the near-horizon region reduces to a scale invariant Hamiltonian of the system. This Hamiltonian is not essentially self-adjoint, but it admits a one-parameter family of self-adjoint extension...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2005
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/24/1/022