Results 11 to 20 of about 18,903 (124)

Hamilton-Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints [PDF]

open access: yes, 2012
We extend Hamilton-Jacobi theory to Lagrange-Dirac (or implicit Lagrangian) systems, a generalized formulation of Lagrangian mechanics that can incorporate degenerate Lagrangians as well as holonomic and nonholonomic constraints.
Abraham R.   +18 more
core   +1 more source

Eulerian and Newtonian dynamics of quantum particles [PDF]

open access: yes, 2013
We derive the classical equations of hydrodynamic type (Euler equation and the continuity equation) from which the Schrodinger equation follows as a limit case.
Rashkovskiy, Sergey
core   +1 more source

Quadratic Poisson algebras on k[x, y, z]and their automorphisms

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
One of the important directions in modern mathematics is applications of Poisson structures and to various problems of mathematics and theoretical mechanics. These problems arise in dynamics of a rigid body, the celestial mechanics, the theory of curls,
U.K. Turusbekova, G.T. Azieva
doaj   +1 more source

THE MODEL FOR FINAL STAGE OF GRAVITATIONAL COLLAPSE MASSLESS SCALAR FIELD

open access: yesOdessa Astronomical Publications, 2016
It is known that in General relativity, for some spherically symmetric initial conditions, the massless scalar field (SF) experience the gravitational collapse (Choptuik, 1989), and arise a black hole (BH). According Bekenstein, a BH has no "hair scalar",
V. D. Gladush, D. V. Mironin
doaj   +1 more source

An approximating method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]

open access: yes, 2006
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, N., Schaft, A.J. van der
core   +6 more sources

Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry [PDF]

open access: yes, 2007
For a general mechanical system, it is shown that each solution of the Hamilton-Jacobi equation defines an N=2 pseudo-supersymmetric extension of the system, such that the usual relation of the momenta to Hamilton's principal function is the `BPS ...
Townsend, Paul K.
core   +3 more sources

Dirac Structures and Hamilton-Jacobi Theory for Lagrangian Mechanics on Lie Algebroids [PDF]

open access: yes, 2012
This paper develops the notion of implicit Lagrangian systems on Lie algebroids and a Hamilton--Jacobi theory for this type of system. The Lie algebroid framework provides a natural generalization of classical tangent bundle geometry.
Leok, Melvin, Sosa, Diana
core   +2 more sources

De Donder-Weyl Equations and Multisymplectic Geometry

open access: yes, 2001
Multisymplectic geometry is an adequate formalism to geometrically describe first order classical field theories. The De Donder-Weyl equations are treated in the framework of multisymplectic geometry, solutions are identified as integral manifolds of ...
Cantrijn   +12 more
core   +2 more sources

Equations of motion in General Relativity and Quantum Mechanics

open access: yes, 2011
In a previous article a relationship was established between the linearized metrics of General Relativity associated with geodesics and the Dirac Equation of quantum mechanics.
O'Hara, Paul
core   +1 more source

Design and Prototyping of Topology‐Optimized, Additively Manufactured Lightweight Components for Space Robotic Systems: A Case Study

open access: yesAdvanced Engineering Materials, EarlyView.
The results demonstrate a simulation‐driven workflow that applies LSB topology optimization with additive manufacturing constraints to mission‐specific load cases, integrating European Cooperation for Space Standardization compliant verification and manufacturability to develop structurally efficient rover suspension components.
Stelios K. Georgantzinos   +11 more
wiley   +1 more source

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