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Noncommutative Uncertainty Principles
, 2014
"... The classical uncertainty principles deal with functions on abelian groups. In this paper, we discuss the uncertainty principles for finite index subfactors which include the cases for finite groups and finite dimensional Kac algebras. We prove the HausdorffYoung inequality, Young’s inequality, the ..."
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The classical uncertainty principles deal with functions on abelian groups. In this paper, we discuss the uncertainty principles for finite index subfactors which include the cases for finite groups and finite dimensional Kac algebras. We prove the HausdorffYoung inequality, Young’s inequality
The energytime uncertainty principle
, 1999
"... This paper contains a simple but powerful statement and proof of the EnergyTime uncertainty principle. ..."
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This paper contains a simple but powerful statement and proof of the EnergyTime uncertainty principle.
Uncertainty Principles on Riemannian Manifolds
, 2009
"... In this thesis, the HeisenbergPauliWeyl uncertainty principle on the real line and the Breitenberger uncertainty on the unit circle are generalized to Riemannian manifolds. The proof of these generalized uncertainty principles is based on an operator theoretic approach involving the commutator o ..."
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Cited by 4 (1 self)
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In this thesis, the HeisenbergPauliWeyl uncertainty principle on the real line and the Breitenberger uncertainty on the unit circle are generalized to Riemannian manifolds. The proof of these generalized uncertainty principles is based on an operator theoretic approach involving the commutator
On gravity and the uncertainty principle
, 1999
"... Heisenberg showed in the early days of quantum theory that the uncertainty principle follows as a direct consequence of the quantization of electromagnetic radiation in the form of photons. As we show here the gravitational interaction of the photon and the particle being observed modifies the uncer ..."
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Cited by 16 (0 self)
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Heisenberg showed in the early days of quantum theory that the uncertainty principle follows as a direct consequence of the quantization of electromagnetic radiation in the form of photons. As we show here the gravitational interaction of the photon and the particle being observed modifies
THE CHOICE UNCERTAINTY PRINCIPLE†
, 2008
"... The Choice Uncertainty Principle. 2008. The choice uncertainty principle says that it is impossible to make an unambiguous choice between near simultaneous events under a deadline. This principle affects the design of logic circuits in computer hardware, real time systems, and decision systems. ..."
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The Choice Uncertainty Principle. 2008. The choice uncertainty principle says that it is impossible to make an unambiguous choice between near simultaneous events under a deadline. This principle affects the design of logic circuits in computer hardware, real time systems, and decision systems.
Uncertainty Principles for Signal Concentrations
, 2005
"... Abstract — Uncertainty Principles for concentration of signals into truncated subspaces are considered. The “classic ” Uncertainty Principle is explored as a special case of a more general operator framework. The timebandwidth concentration problem is shown as a similar special case. A spatial conc ..."
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Cited by 1 (0 self)
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Abstract — Uncertainty Principles for concentration of signals into truncated subspaces are considered. The “classic ” Uncertainty Principle is explored as a special case of a more general operator framework. The timebandwidth concentration problem is shown as a similar special case. A spatial
GENERALIZED UNCERTAINTY PRINCIPLES
, 807
"... Abstract. The phenomenon in the essence of classical uncertainty principles is well known since the thirties of the last century. We introduce a new phenomenon which is in the essence of a new notion that we introduce: ”Generalized Uncertainty Principles”. We show the relation between classical unce ..."
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Abstract. The phenomenon in the essence of classical uncertainty principles is well known since the thirties of the last century. We introduce a new phenomenon which is in the essence of a new notion that we introduce: ”Generalized Uncertainty Principles”. We show the relation between classical
UNCERTAINTY PRINCIPLES FOR INTEGRAL OPERATORS
"... Abstract. The aim of this paper is to prove new uncertainty principles for an integral operator T with a bounded kernel for which there is a Plancherel theorem. The first of these results is an extension of Faris’s local uncertainty principle which states that if a nonzero function f ∈ L 2 (R d,µ) i ..."
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Cited by 1 (0 self)
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Abstract. The aim of this paper is to prove new uncertainty principles for an integral operator T with a bounded kernel for which there is a Plancherel theorem. The first of these results is an extension of Faris’s local uncertainty principle which states that if a nonzero function f ∈ L 2 (R d
ON THE COMPLEMENTARITY PRINCIPLE AND THE UNCERTAINTY PRINCIPLE
, 2008
"... We present a scheme in which we investigate the twoslit experiment and we show that the principle of complementarity is more fundamental then the uncertainty principle. PACS: 03.65.Ud; 03.67.Mn; 32.80.t; 42.50.p Keywords: principle of complementarity, uncertainty principle, cavity QED. The invest ..."
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We present a scheme in which we investigate the twoslit experiment and we show that the principle of complementarity is more fundamental then the uncertainty principle. PACS: 03.65.Ud; 03.67.Mn; 32.80.t; 42.50.p Keywords: principle of complementarity, uncertainty principle, cavity QED
Heisenberg’s uncertainty principle
 Physics Reports
"... Abstract. Heisenberg’s uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental op ..."
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Cited by 21 (3 self)
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Abstract. Heisenberg’s uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental
Results 11  20
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3,291