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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Heisenberg-Pauli-Weyl uncertainty principle based on Phase derivatives
相位导数 Heisenberg Pauli-Weyl不确定性原理
2023/11/13
In this talk we introduce some recent developments of Heisenberg-Pauli-Weyl uncertainty principle in the different settings.
WEAK UNCERTAINTY PRINCIPLE FOR FRACTALS,GRAPHS AND METRIC MEASURE SPACES
Uncertainty principle p.c.f. fractal Heisenberg’s inequality measure metric spaces Poincar′ e inequality self-similar graphs Sierpinski ′ gasket uniform finitely ramified graphs
2015/12/10
We develop a new approach to formulate and prove the weak uncertainty inequality which was recently introduced by Okoudjou and Strichartz.We assume either an appropriate measure growth condition with ...
First considerations on the generalized uncertainty principle for finite-dimensional discrete phase spaces
First considerations the generalized uncertainty principle finite-dimensional discrete phase spaces
2011/7/27
Abstract: Generalized uncertainty principle and breakdown of the spacetime continuum certainly represent two important results derived of various approaches related to quantum gravity and black hole p...
Black hole entropy divergence and the uncertainty principle
Black hole entropy divergence uncertainty principle
2010/11/11
Black hole entropy has been shown by 't Hooft to diverge at the horizon. The region near the horizon is in a thermal state, so entropy is linear to energy which consequently also diverges. We find a s...
The Generalized Uncertainty Principle and Quantum Gravity Phenomenology
Quantum Gravity Phenomenology
2010/3/19
In this article we examine a Generalized Uncertainty Principle which differs from the Heisenberg Uncertainty Principle by terms linear and quadratic in particle momenta, as proposed by the authors in ...
Quantum Black Hole in the Generalized Uncertainty Principle Framework
Quantum Black Hole Uncertainty Principle Framework
2010/3/17
In this paper we study the effects of the Generalized Uncertainty Principle (GUP) on canonical quantum gravity of black holes. Through the use of modified partition function that involves the effects ...
Beurling-Hörmander Uncertainty Principle for the Spherical Mean Operator
Uncertainty principle Beurling-Hö rmander theorem Gelfand-Shilov theorem Cowling-Price theorem Fourier transform Spherical mean operator
2010/1/22
We establish the Beurling-Hörmander theorem for the Fourier transform connected with the spherical mean operator. Applying this result, we prove the Gelfand-Shilov and Cowling-Price type theorems...
Phenomenological Implications of the Generalized Uncertainty Principle
Phenomenological Implications Generalized Uncertainty Principle
2010/4/13
Various theories of Quantum Gravity argue that near the Planck scale, the Heisenberg Uncertainty Principle should be replaced by the so called Generalized Uncertainty Principle (GUP). We show that the...
Heisenberg-Pauli-Weyl Uncertainty Principle for the Riemann-Liouville Operator
Heisenberg-Pauli-Weyl Inequality Riemann-Liouville operator Fourier transform local uncertainty principle
2010/1/22
The Heisenberg-Pauli-Weyl inequality is established for the Fourier transform connected with the Riemann-Liouville operator.Also, a generalization of this inequality is proved. Lastly, a local uncerta...
(Anti-)de Sitter Black Hole Entropy and Generalized Uncertainty Principle
entropy correction generalized uncertainty
principle non-equilibrium spacetime
2007/8/15
2006Vol.46No.4pp.635-638DOI:
(Anti-)de Sitter Black Hole Entropy and Generalized Uncertainty Principle
ZHAO Ren,1,2 ZHANG Li-Chun,2 and HU Shuang-Qi1
1 Department of Env...
Exact Uncertainty Principle and Quantization: Implications for the Gravitational Field
Exact Uncertainty Principle and Quantization the Gravitational Field
2010/10/14
The quantization of the gravitational field is discussed within the exact uncertainty approach. The method may be described as a Hamilton-Jacobi quantization of gravity. It differs from previous appro...
Generalized Uncertainty Principle, Extra-dimensions and Holography
Generalized Uncertainty Principle Extra-dimensions Holography
2010/10/14
We consider Uncertainty Principles which take into account the role of gravity and the possible existence of extra spatial dimensions. Explicit expressions for such Generalized Uncertainty Principles ...
Nondivergent classical response functions from uncertainty principle: Quasiperiodic systems
Nondivergent classical response functions uncertainty principle Quasi Periodic systems
2014/9/24
Time-divergence in linear and nonlinear classical response functions can be removed by taking a phase-space average within the quantized uncertainty volume O(\
n) around the microcanonical energy sur...
Linear and nonlinear response functions of the Morse oscillator: Classical divergence and the uncertainty principle
Linear and nonlinear response functions the Morse oscillator Classical divergence the uncertainty principle
2014/9/24
The algebraic structure of the quantum Morse oscillator is explored to formulate the coherent state,the phase-space representations of the annihilation and creation operators, and their classical limi...