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We consider the combined mean-field and semiclassical limit for a system of the N fermions interacting through singular potentials. We prove the uniformly in the Planck constant h propagation of quant...
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...
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...
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 $...
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...
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...
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...
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 ...
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...
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...
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...
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 ...
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...

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