Customers who bought this item also bought

• Growth Hormone Deficiency (GHD) Therapeutics - Pipeline Assessment and Market Forecasts to 2018
• Advances in Computational Dynamics of Particles, Materials and Structures
• Essentials of scientific computing
• Quantum Mechanics of Non-Hamiltonian and Dissipative Systems, Vol 7. Monograph Series on Nonlinear Science and Complexity
• General Linear Methods for Ordinary Differential Equations
• OKS - Garden Creek III Natural Gas Processing Plant - North Dakota - Construction Project Profile
• Mathematical Physics
• Geometric Mechanics. Toward a Unification of Classical Physics. 2nd, Revised and Enlarged Edition
• Advanced Dynamic-System Simulation. Model Replication and Monte Carlo Studies. 2nd Edition
• Applied Mathematics And Modeling For Chemical Engineers. 2nd Edition

Generalized Hamiltonian Dynamics. Edition No. 1

VDM Publishing House, May 2010, Pages: 72

We apply Dirac’s generalized Hamiltonian dynamics (GHD), a purely classical formalism, to spinless particles under the influence of a binomial potential. The integrals of the motion for this potential were chosen as the constraints of GHD, and use Fradkin’s unit Runge vector in place of the Laplace-Runge-Lenz vector. A functional form of the unit Runge vector is derived for the binomial potential. It is shown in accordance with Oks and Uzer (2002) that a new kind of time dilation occurs for stable, nonradiating states. The primary result which is derived is that the energy of these classical stable states agrees exactly with the quantal results for the ground state and all states of odd values of the radial and angular harmonic numbers.

Julian, Antolin Camarena.
He graduated with a bachelor's degree in physics from The University of Texas at El Paso in the summer of 2006 after which he enrolled at Auburn University as a master's student in physics and graduated in the summer of 2008. Eugene Oks was his adviser at Auburn. As of summer of 2010 he is a doctoral student at The University of New Mexico.