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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
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2023/11/13
In this talk we introduce some recent developments of Heisenberg-Pauli-Weyl uncertainty principle in the different settings.
Huygens' Principle for the Klein-Gordon equation in the de Sitter spacetime
Huygens’ Principle Klein-Gordon Equation de Sitter spacetime Higuchi Bound
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2012/6/14
In this article we prove that the Klein-Gordon equation in the de Sitter spacetime obeys the Huygens' principle if and only if the physical mass $m$ of the scalar field and the dimension $n$ of the sp...
Does Lorentz Force Law Contradict the Principle and Theories of Relativity for Uniform Linear Motion?
Lorentz Force Law Principle and Theories of Relativity Uniform Linear Motion Classical Physics
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2012/5/29
I show that no force or torque is generated in cases involving a charge and a magnet with their relative velocity zero, in any inertial frame of reference. A recent suspicion of an anomalous torque an...
Extended Hamilton's principle
Extended Hamilton's principle Mathematical Physics
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2012/4/18
Hamilton's principle is extended to have compatible initial conditions to the strong form. To use a number of computational and theoretical benefits for dynamical systems, the mixed variational formul...
On quantum Huygens principle and Rayleigh scattering
quantum Huygens principle Rayleigh scattering ionization
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2012/2/29
We prove several minimal photon velocity estimates below the ionization threshold for a particle system coupled to the quantized electromagnetic or phonon field. Using some of these results, we prove ...
Unitary representations of the Galilean line group: Quantum mechanical principle of equivalence
Unitary representations the Galilean line group Quantum mechanical principle of equivalence
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2011/9/5
Abstract: We present a formalism of Galilean quantum mechanics in non-inertial reference frames and discuss its implications for the equivalence principle. This extension of quantum mechanics rests on...
Time Dependent Variational Principle and Coherent State Orbits for a Trapped Ion
Time Dependent Variational Principle Coherent State Orbits Trapped Ion
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2011/9/29
Abstract: Spectral properties of the Hamiltonian function which characterizes a trapped ion are investigated. In order to study semiclassical dynamics of trapped ions, coherent state orbits are introd...
Selection of measure and a Large Deviation Principle for the general XY model
the general XY model Large Deviation Principle Dynamical Systems
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2011/7/28
Selection of measure and a Large Deviation Principle for the general XY model.
First considerations on the generalized uncertainty principle for finite-dimensional discrete phase spaces
First considerations the generalized uncertainty principle finite-dimensional discrete phase spaces
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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...
Relativistic analogue of the D'Alembert principle of virtual displacements and the effective actions for the spherically-symmetric charged dust shell in General Relativity
Relativistic analogue D'Alembert principle of virtual displacements effective actions spherically-symmetric charged dust shell General Relativity
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2010/12/20
A simple and direct derivation of the variational principle and effective actions for a spherical charged dust shell in general relativity is offered. This principle is based on the relativistic versi...
Chronology protection and the stringy exclusion principle
Chronology protection the stringy exclusion principle
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2010/12/24
We construct a family of supersymmetric solutions to AdS supergravity in three dimensions, that correspond to type IIB seven branes wrapped on an internal S3xT4. These solutions are generalizations of...
Particle number fluctuations and correlations in transfer reactions obtained using the Balian-Veneroni variational principle
Particle number fluctuations correlations transfer reactions obtained Balian-Veneroni variational principle
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2011/1/6
The Balian-V´en´eroni (BV) variational principle, which optimizes the evolution of the state ac-cording to the relevant observable in a given variational space, is used at the mean-field l...
Three-body exclusion principle, duality mapping, and exact ground state of a harmonically trapped, ultracold Bose gas with three-body hard-core interactions in one dimension
duality mapping exact ground state of a harmonically trapped ultracold Bose gas with three-body hard-core interactions
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2010/11/19
Motivated by previous suggestions that three-body hard-core interactions in lower-dimensional
ultracold Bose gases might provide a way for creation of non-Abelian anyons, the exact ground
state of a...
Optimal Quantum State Estimation by No-Signaling Principle
No-Signaling Principle Quantum Physics
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2010/11/8
We obtain a simple derivation of the optimal quantum state estimation of a two-level system using the no-signaling principle. In particular, we show that the no-signaling principle determines the uni...
A Quasi-separation Principle and Newton-like Scheme for Coherent Quantum LQG Control
Quasi-separation Principle Newton-like Scheme Coherent Quantum LQG Control
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2010/11/5
This paper is concerned with constructing an optimal controller in the coherent quantum Linear Quadratic Gaussian problem. A coherent quantum controller is itself a quantum system and is required to b...