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Implicit particle methods and their connection with variational data assimilation
Implicit particle methods variational data assimilation Data Analysis Statistics and Probability
2012/5/29
The implicit particle filter is a sequential Monte Carlo method for data assimilation that guides the particles to the high-probability regions via a sequence of steps that includes minimizations. We ...
On the Structure of Minimizers of Causal Variational Principles in the Non-Compact and Equivariant Settings
Causal Variational Principles Non-Compact and Equivariant Settings Mathematical Physics
2012/5/25
We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries. Considering first variations, we sh...
Time Dependent Variational Principle and Coherent State Orbits for a Trapped Ion
Time Dependent Variational Principle Coherent State Orbits Trapped Ion
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...
Essential variational Poisson cohomology
Essential variational Poisson cohomology Representation Theory
2011/7/27
Abstract: In our recent paper [DSK11] we computed the dimension of the variational Poisson cohomology for any quasiconstant coefficient matrix differential operator K of arbitrary order with invertibl...
Nondifferentiable variational principles in terms of a quantum operator
Holder functions quantum calculus calculus of variations Green’s theorem
2011/7/28
Abstract: We develop Cresson's nondifferentiable calculus of variations on the space of H\"{o}lder functions. Several quantum variational problems are considered: with and without constraints, with on...
Nondifferentiable variational principles in terms of a quantum operator
Holder functions quantum calculus calculus of variations Green’s theorem
2011/7/28
Abstract: We develop Cresson's nondifferentiable calculus of variations on the space of H\"{o}lder functions. Several quantum variational problems are considered: with and without constraints, with on...
Abstract: It is well known that the validity of the so called Lenard-Magri scheme of integrability of a bi-Hamiltonian PDE can be established if one has some precise information on the corresponding 1...
Variational Approach to Yang--Mills Theory with non-Gaussian Wave Functionals
Yang--Mills Theory non-Gaussian Wave Functionals
2010/12/24
A general method for treating non-Gaussian wave functionals in quantum field theory is presented and applied to the Hamiltonian approach to Yang-Mills theory in Coulomb gauge in order to include a th...
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
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...
Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions
interacting electrons time-dependent variational principle
2010/10/27
The quantum mechanical many-body problem is rarely analytically solvable. One notable exception is the case of two electrons interacting via a Coulomb potential in a uniform magnetic field. The motion...
On deterministic error analysis in variational data assimilation
deterministic error analysis variational data assimilation
2009/11/9
The problem of variational data assimilation for a nonlinear evolution model is considered to identify the initial condition. The equation for the error of the optimal initial-value function through t...
An improved variational method
variational method Galerkin variational method scattering matrix unitary
2009/8/17
In order to improve the unitarity of the S-matrix, an improved variational formulism is derived by proposing new generating functionals and adopting proper asymptotic boundary conditions for trial re...
Variational-Iterative Solution of Ground State for Central Potential
iterative solution variational method ground state
2007/8/15
2002Vol.38No.1pp.15-18DOI:
Variational-Iterative Solution of Ground State for Central Potential
ZHAO Wei-Qin
China Center of Advanced Science and Technology (CCAST), Wor...
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures III: Application to Symplectic and Multisymplectic Algorithms
discrete variation Euler-Lagrange cohomology symplectic algorithm multisymplectic algorithm
2007/8/15
2002Vol.37No.3pp.257-264DOI:
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures III: Application to Symplectic and Multisymplec...
Study on Application of Hypervirial Theorem in the
Variational Method
hypervirial theorem variational method linear potential
Schrö dinger equation
2007/8/15
2002Vol.37No.3pp.283-286DOI:
Study on Application of Hypervirial Theorem in the
Variational Method
DING Yi-Bing,1,4 LI Xue-Qian2,4 and SHEN Peng-Nian3,4
1 The Graduate ...