Lagrangian formulation of bubble dynamics

TDDFT modified Lagrangian formulation for Born-Oppenheimer Molecular Dynamics

J. L. Alonso, 2 X. Andrade, P. Echenique, 2 F. Falceto, 2 D. Prada-Gracia, and A. Rubio Departamento de F́ısica Teórica, Universidad de Zaragoza, Pedro Cerbuna 12, E-50009 Zaragoza, Spain. Instituto de Biocomputación y F́ısica de Sistemas Complejos (BIFI). European Theoretical Spectroscopy Facility, Departamento de F́ısica de Materiales, Universidad del Páıs Vasco, Centro Mixto CSIC-UPV, and DIPC,...

Lagrangian Formulation of General Relativity

Lagrangian Dynamics ∗

The motion of a mechanical system is related via a set of dynamic equations to the forces and torques it is subject to. In this work we will be primarily interested in robots consisting of a collection of rigid links connected through joints that constrain the relative motion between the links. There are two main formalisms for deriving the dynamic equations for such mechanical systems: (1) New...

Lagrangian Formulation of the Electromagnetic Field

This paper will, given some physical assumptions and experimentally verified facts, derive the equations of motion of a charged particle in an electromagnetic field and Maxwell’s equations for the electromagnetic field through the use of the calculus of variations.

Lagrangian formulation of some q - deformed systems

In the framework of Lagrangian formulation, some q-deformed physical systems are considered. The q-deformed Legendre transformation is obtained for the free motion of a non-relativistic particle on a quantum line. This is subsequently exploited to obtain the Lagrangians for the q-deformed harmonic oscillator and q-deformed relativistic free particle. The Euler-Lagrange equations of motion are d...