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dc.contributor.advisorOks, Eugene A.
dc.contributor.advisorPindzola, Michaelen_US
dc.contributor.advisorPerez, Joseph D.en_US
dc.contributor.authorCamarena, Julianen_US
dc.date.accessioned2008-09-09T22:33:24Z
dc.date.available2008-09-09T22:33:24Z
dc.date.issued2008-12-15en_US
dc.identifier.urihttp://hdl.handle.net/10415/1013
dc.description.abstractWe 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.en_US
dc.language.isoen_USen_US
dc.subjectPhysicsen_US
dc.titleApplication of Generalized Hamiltonian Dynamics to Modified Coulomb Potentialen_US
dc.typeThesisen_US
dc.embargo.lengthNO_RESTRICTIONen_US
dc.embargo.statusNOT_EMBARGOEDen_US


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