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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersive Quantization and Revival Phenomena for Dispersive Evolution Equations
色散演化方程 色散量子化 复兴现象
2023/4/27
In this talk, we investigate the revival phenomena for the dispersive evolution equations. Firstly, we study the dispersive quantization phenomena for the multi-component systems of the dispersive evo...
Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation
bending deformations of polygons E3 hypergeometric in tegrals the Gassner representation
2015/10/14
Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation.
This paper is dedicated to the memory of Moshe Flato, and will appear in Lett. Math. Phys. 48 (1).It became clear during last 5-6 years that the algebraic world of associative algebras (abelian catego...
The stochastic quantization method and its application to the numerical simulation of volcanic conduit dynamics under random conditions
stochastic quantization method application to the numerical simulation volcanic conduit dynamics random conditions
2014/12/31
Stochastic Quantization (SQ) is a method for the approximation of a continuous probability distribution with a discrete one. The proposal made in this paper is to apply this technique to reduce the nu...
We apply the quantization scheme introduced in [arXiv:1204.2870] to a particle on a circle. We find that the quantum action functional restricted to appropriate coherent states can be expressed as the...
Distributed Functional Scalar Quantization Simplified
Distributed Functional Scalar Quantization Simplified Information Theory
2012/6/25
Distributed functional scalar quantization (DFSQ) theory provides optimality conditions and predicts performance of data acquisition systems in which a computation on acquired data is desired. We addr...
Towards a combined fractional mechanics and quantization
fractional canonical formalism Hamiltonian approach variational principles of physics nonconservative systems
2012/6/21
A fractional Hamiltonian formalism is introduced for the recent combined fractional calculus of variations. The Hamilton-Jacobi partial differential equation is generalized to be applicable for system...
"Quantization" of higher hamiltonian analogues of the Painleve I and Painleve II equations with two degrees of freedom
Quantization higher hamiltonian analogues Painleve I Painleve II equations Exactly Solvable and Integrable Systems
2012/4/27
We construct a solution of an analog of the Schr\"{o}dinger equation for the Hamiltonian $ H_I (z, t, q_1, q_2, p_1, p_2) $ corresponding to the second equation $P_1^2$ in the Painleve I hierarchy. Th...
Exponential convergence rates of second quantization semigroups and applications
Convergence rate tail norm entropy second quantization
2011/11/4
Exponentialconvergence rates in the L2-tail norm and entropy are characterized forthe second quantization semigroups by using the corresponding baseDirichlet form. This supplements the well known resu...
Higher Symmetries of the Laplacian via Quantization
Symmetry algebra Laplacian Quantization Conformal geometry Minimal nilpotent orbit
2011/9/22
Abstract: We develop a new approach, based on quantization methods, to study higher symmetries of invariant differential operators. We focus here on conformally invariant powers of the Laplacian over ...
Quantization of long memory processes
Long-memory processes Round-off error Measurement error Log-periodogram regression Detrended fluctuation analysis Hermite polynomials
2011/10/9
Abstract: We study how quantization, occurring when a continuously varying process is approximated by or observed on a grid of discrete values, changes the properties of a Gaussian long-memory process...
Imaginary-Scaling versus Indefinite-Metric Quantization of the Pais-Uhlenbeck Oscillator
Higher derivative theories ghosts indefinite metric Pais-Uhlenbeck Oscillator
2011/9/30
Abstract: Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic ma...
A No-Go Theorem for the Consistent Quantization of the Massive Gravitino on Robertson-Walker Spacetimes and Arbitrary Spin 3/2 Fields on General Curved Spacetimes
No-Go Theorem the Consistent Quantization the Massive Gravitino Robertson-Walker Spacetimes General Curved Spacetimes
2011/7/29
Abstract: We first introduce a set of conditions which assure that a free spin $\frac32$ field with $m\ge 0$ can be consistently ('unitarily') quantized on all curved spacetimes, i.e. also on spacetim...
Projectively Equivariant Quantization and Symbol calculus in dimension 1|2
Equivariant Quantization Symbol calculus dimension 1|2 Differential Geometry
2011/7/26
Abstract: The spaces of higher-order differential operators (in Dimension 1|2), which are modules over the stringy Lie superalgebra K(2), are isomorphic to the corresponding spaces of symbols as ortho...
Landau quantization effects in ultracold atom-ion collisions
Landau quantization effects ultracold atom-ion
2011/9/15
We study ultracold atom-ion collisions in the presence of an external magnetic field. At low collision energy the field can drastically modify the translational motion of the ion, which follows quanti...