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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Derivation of the Vlasov equation from quantum many-body Fermionic systems with singular interaction
奇异相互作用 量子多体 费米子系统 弗拉索夫方程
2023/4/13
A Hamilton-Jacobi Theory for Singular Lagrangian Systems in the Skinner and Rusk Setting
Hamilton-Jacobi theory presymplectic constraint algorithm
2012/5/9
We develop a Hamilton-Jacobi theory for singular lagrangian systems in the Skinner-Rusk formalism. Comparisons with the Hamilton-Jacobi problem in the lagrangian and hamiltonian settings are discussed...
Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors
Calogero-Sutherland Model Jack Symmetric Function Recursion Relations Integral Representation
2011/10/9
Abstract: The present work is much motivated by finding an explicit way in the construction of the Jack symmetric function, which is the spectrum generating function for the Calogero-Sutherland(CS) mo...
Perturbation Theory on the Non-Commutative Plane with a Singular Potential
Perturbation Theory the Non-Commutative Plane
2010/12/27
In this article we study the problem of a non-relativistic particle in the presence of a singular potential in the noncommutative plane. The potential contains a term proportional to $1/R^2$, where $...
Singular Short Range Potentials in the J-Matrix Approach
singular short-range potential J-matrix method
2010/11/4
We use the tools of the J-matrix method to evaluate the S-matrix and then deduce the bound and resonance states energies for singular screened Coulomb potentials, both analytic and piecewise differen...
Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
Singular inverse square potential arbitrary dimensions minimal length: Application to the motion dipole cosmic string background
2010/10/18
We solve analytically the Schr¨odinger equation for the N-dimensional inverse square potential
in quantum mechanics with a minimal length in terms of Heun’s functions. We apply our results
to the pr...
Lyapunov,Floquet,and singular vectors for baroclinic waves
Lyapunov Floquet singular vectors baroclinic waves
2009/11/12
The dynamics of the growth of linear disturbances to a chaotic basic state is analyzed in an asymptotic model of weakly nonlinear, baroclinic wave-mean interaction. In this model, an ordinary differen...
Generalized Canonical Noether Theorem and Poincaré-Cartan Integral Invariant for a System with a Singular High-Order Lagrangian and an Application
constrained Hamiltonian system high-derivative theory Noether
theorem Poincaré-Cartan integral invariant
2007/8/15
2001Vol.36No.2pp.157-162DOI:
Generalized Canonical Noether Theorem and Poincaré-Cartan Integral Invariant for a System with a Singular High-Order Lagrangian and an Application
LI ...
Energy-Level of Some Singular Harmonic Oscillators and Parametric
Amplifiers with Singular Potential Derived via IEO Method
invariant eigen-operator singular oscillator singualr degenerate parametric amplifier
2007/8/15
2007Vol.47No.5pp.865-868DOI:
Energy-Level of Some Singular Harmonic Oscillators and Parametric
Amplifiers with Singular Potential Derived via IEO Method
FAN Hong-Yi and TANG Xu-Bi...
Lie-Form Invariance of a Type of Non-holonomic Singular Systems
non-holonomic constraint singular system symmetry conserved quantity
2007/8/15
2007Vol.47No.3pp.409-412DOI:
Lie-Form Invariance of a Type of Non-holonomic Singular Systems
WANG Jing, LI Yuan-Cheng, HOU Qi-Bao, and XIA Li-Li
College of Physical Scie...
Bound States for Hypercentral Singular and Exponential Potentials
hyperspherical harmonic anharmonic three-body Jacobian hypercentral
hyperradial
2007/8/15
2006Vol.45No.4pp.669-674DOI:
Bound States for Hypercentral Singular and Exponential Potentials
A.A. Rajabi
Physics Department, Shahrood University of Technology,
P.O. Bo...
Anomalous Magnetization Exponent and Singular Frustration Induced Gap
in Incommensurate Massive One-Dimensional Lattice
Models
energy gap incommensurate one-dimensional system magnetization
2007/8/15
2004Vol.42No.1pp.146-150DOI:
Anomalous Magnetization Exponent and Singular Frustration Induced Gap
in Incommensurate Massive One-Dimensional Lattice
Models
GU Bo1 and ZHANG
Jun2
...
A Treatment of a Higher-Order Singular Lagrangian as Fields System
Lagrangian and Hamiltonian approach Singular Lagrangian systems
2010/4/9
The higher-order singular Lagrangian system is treated as field system. Euler-Lagrange equations are solved with some constraints. An example is studied and a comparison with Hamiltonian formulation i...