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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.
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...
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...
Guessing Quantum Ensemble Using Laplace Principle
Quantum Ensemble Laplace Principle
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2010/4/9
For a mixed quantum state with density matrix $\rho$ there are infinitely many ensembles of pure quantum states, which average to $\rho$. Starting from Laplace principle of insufficient reason (not to...
First-Principle Calculations for Thermodynamic Properties
of LiBC Under High Temperature and High Pressure
thermal expansion heat capacity compressibility
LiBC full-potential linearized muffin-tin orbital
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2007/8/15
2006Vol.46No.3pp.573-576DOI:
First-Principle Calculations for Thermodynamic Properties
of LiBC Under High Temperature and High Pressure
LIU Zhong-Li, CHENG Yan, TAN Ni-Na, and GO...
General Quantum Interference Principle and Duality Computer
quantum interference duality computer NP-complete=P
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2007/8/15
2006Vol.45No.5pp.825-844DOI:
General Quantum Interference Principle and Duality Computer
LONG Gui-Lu
Key Laboratory for Quantum Information and Measurements and
Departme...
Variation Principle for a Linear Potential
Quantum Physics Constant Force Problem Linear Potential Airy Function
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2010/4/9
We introduce the student to the Quantum Mechanic linear potential (constant force) using new variation wave functions for the ground state and the first excited one. This approach use simple wave func...